0000000000020883

AUTHOR

Mohammed Chadli

0000-0002-0140-5187

showing 26 related works from this author

Fuzzy Sliding Mode Controller Design Using Takagi-Sugeno Modelled Nonlinear Systems

2013

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2013/734094 Open access Adaptive fuzzy sliding mode controller for a class of uncertain nonlinear systems is proposed in this paper. The unknown system dynamics and upper bounds of the minimum approximation errors are adaptively updated with stabilizing adaptive laws. The closed-loop system driven by the proposed controllers is shown to be stable with all the adaptation parameters being bounded. The performance and stability of the proposed control system are achieved analytically using the Lyapunov stability theory. Simulations show that the …

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Lyapunov stabilityEngineeringArticle Subjectbusiness.industrylcsh:MathematicsGeneral MathematicsVDP::Technology: 500::Mechanical engineering: 570General Engineeringlcsh:QA1-939Stability (probability)Fuzzy logicSystem dynamicsNonlinear systemlcsh:TA1-2040Control theoryControl systemBounded functionlcsh:Engineering (General). Civil engineering (General)businessMathematical Problems in Engineering
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A structured filter for Markovian switching systems

2014

In this work, a new methodology for the structuring of multiple model estimation schemas is developed. The proposed filter is applied to the estimation and detection of active mode in dynamic systems. The discrete-time Markovian switching systems represented by several linear models, associated with a particular operating mode, are studied. Therefore, the main idea of this work is the subdivision of the models set to some subsets in order to improve the detection and estimation performances. Each subset is associated with sub-estimators based on models of the subset. In order to compute the global estimate and subset probabilities, a global estimator is proposed. Theoretical developments ba…

Engineeringbusiness.industryMarkovian switching systemMode (statistics)Linear modelEstimatorComputer Science Applications1707 Computer Vision and Pattern RecognitionFault detection and isolationActive mode detectionComputer Science ApplicationsTheoretical Computer ScienceSet (abstract data type)Vehicle roll dynamicActive mode detection; Markovian switching system; Multiple model estimation; Vehicle roll dynamic; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern RecognitionControl and Systems EngineeringFilter (video)Control theoryMultiple model estimationState (computer science)businessSubdivisionInternational Journal of Systems Science
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Control of uncertain highly nonlinear biological process based on Takagi–Sugeno fuzzy models

2015

This note deals with the control of uncertain highly nonlinear biological processes. Indeed, an adaptive fuzzy control (AFC) scheme is developed for the pre-treatment of wastewater represented by a Takagi-Sugeno (TS) fuzzy model. The proposed approach uses a fuzzy system to approximate the unknown substrate consumption rate in designing the adaptive controller, and then an observer is designed to estimate the concentration in substrate at the outlet bioreactor. The observer is employed to generate an error signal for the adaptive control law which permits to minimize the influence of the measurement noise on the estimation of the substrate concentration. An update of the fuzzy models parame…

Lyapunov functionMathematical optimizationAdaptive neuro fuzzy inference systemEngineeringAdaptive controlObserver (quantum physics)business.industryFuzzy control systemFuzzy logicNonlinear systemsymbols.namesakeControl and Systems EngineeringControl theorySignal ProcessingsymbolsComputer Vision and Pattern RecognitionElectrical and Electronic EngineeringbusinessSoftwareSignal Processing
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On the robust design of unknown inputs Takagi-Sugeno observer

2012

This paper deals with the observer design for Takagi-Sugeno (T-S) fuzzy models subject to unknown inputs and disturbance affecting both states and outputs of the system. Sufficient conditions to design an unknown input T-S observer are given in Linear Matrix Inequalities (LMIs) terms. Relaxations are introduced by using intermediate variables. Numerical example is given to illustrate the effectiveness of the given result.

Robust designMathematical optimizationTakagi sugenoObserver (quantum physics)Computer Science::Systems and ControlControl theoryFuzzy setState observerLinear matrixRobust controlFuzzy logicMathematics2012 IEEE 51st IEEE Conference on Decision and Control (CDC)
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Fuzzy predictive controller design using ant colony optimization algorithm

2014

In this paper, an approach for designing an adaptive fuzzy model predictive control (AFMPC) based on the Ant Colony Optimization (ACO) is studied. On-line adaptive fuzzy identification is used to identify the system parameters. These parameters are used to calculate the objective function based on predictive approach and structure of RST control. The optimization problem is solved based on an ACO algorithm, used at the optimization process in AFMPC to calculate a sequence of future RST control actions. The obtained simulation results show that proposed approach provides better results compared with Proportional Integral-Ant Colony Optimization (PI-ACO) controller and adaptive fuzzy model pr…

EngineeringMeta-optimizationOptimization problemLinear programmingbusiness.industryAnt colony optimization algorithmsComputer Science Applications1707 Computer Vision and Pattern RecognitionComputingMethodologies_ARTIFICIALINTELLIGENCEFuzzy logicModel predictive controlControl theoryControl and Systems EngineeringModeling and SimulationModeling and Simulation; Computer Science Applications1707 Computer Vision and Pattern Recognition; Control and Systems Engineering; Electrical and Electronic EngineeringElectrical and Electronic EngineeringbusinessAlgorithmMetaheuristic
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Notice of Violation of IEEE Publication Principles: Robust Observer Design for Unknown Inputs Takagi–Sugeno Models

2013

This paper deals with the observer design for Takagi-Sugeno (T-S) fuzzy models subject to unknown inputs and disturbance affecting both states and outputs of the system. Sufficient conditions to design an unknown input T-S observer are given in linear matrix inequality (LMI) terms. Both continuous-time and discrete-time cases are studied. Relaxations are introduced by using intermediate variables. Extension to the case of unmeasured decision variables is also given. A numerical example is given to illustrate the effectiveness of the given results.

Mathematical optimizationObserver (quantum physics)Applied MathematicsDecision theoryLinear matrix inequalityFuzzy control systemExtension (predicate logic)Fuzzy logicDecision variablesComputational Theory and MathematicsTakagi sugenoComputer Science::Systems and ControlArtificial IntelligenceControl and Systems EngineeringControl theoryMathematicsIEEE Transactions on Fuzzy Systems
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Modeling, Planning, and Control of Complex Logistic Processes

2015

1Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway 2College of Engineering, University of Wisconsin System, Madison, WI, USA 3ArcelorMittal Bremen GmbH, Bremen, Germany 4BIBA-Bremer Institut fur Produktion und Logistik GmbH, Planning and Control of Production Systems (PSPS), University of Bremen, Hochschulring 20, 28359 Bremen, Germany 5University of Picardie Jules Verne, MIS-UPJV, 7 Moulin Neuf, 80000 Amiens, France

EngineeringArticle Subjectbusiness.industrylcsh:TA1-2040General MathematicsMoulinlcsh:MathematicsGeneral EngineeringLibrary sciencebusinesslcsh:Engineering (General). Civil engineering (General)lcsh:QA1-939Mathematical Problems in Engineering
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Robust Predictive Control of a variable speed wind turbine using the LMI formalism

2014

This paper proposes a Robust Fuzzy Multivariable Model Predictive Controller (RFMMPC) using Linear Matrix Inequalities (LMIs) formulation. The main idea is to solve at each time instant, an LMI optimization problem that incorporates input, output and Constrained Receding Horizon Predictive Control (CRHPC) constraints, and plant uncertainties, and guarantees certain robustness properties. The RFMMPC is easily designed by solving a convex optimization problem subject to LMI conditions. Then, the derived RFMMPC applied to a variable wind turbine with blade pitch and generator torque as two control inputs. The effectiveness of the proposed design is shown by simulation results.

EngineeringMathematical optimizationOptimization problembusiness.industryBlade pitchLMIs formalism; predictive control; quadratic program; T-S fuzzy model; Control and Systems EngineeringFuzzy logicVariable speed wind turbineModel predictive controlLMIs formalismControl and Systems EngineeringComputer Science::Systems and ControlControl theoryRobustness (computer science)Convex optimizationQuadratic programmingquadratic programT-S fuzzy modelbusinesspredictive control2014 European Control Conference (ECC)
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Robust Output-Feedback Based Fault-Tolerant Control of Active Suspension with Finite-Frequency Constraint ★ ★This work is partly supported by Nationa…

2015

Abstract In this paper, the H∞ fault-tolerant control (FTC) problem of active suspensions with finite-frequency constraints is investigated. A full-car model is employed in the controller design such that the heave, pitch and roll motions can be simultaneously controlled. Both the actuator faults and external disturbance are considered in the controller design. As the human body is more sensitive to the vertical vibration in 4-8Hz, robust H∞ control with finite frequency constraints is designed. From the practical perspective, a robust dynamic output-feedback controller with fault tolerant ability is proposed, while other performances such as suspension deflection and actuator saturation ar…

Output feedbackController designEngineeringbusiness.industryVertical vibrationFault toleranceControl engineeringActive suspensionActuator saturationControl and Systems EngineeringControl theoryDeflection (engineering)businessActuatorIFAC-PapersOnLine
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Composite nonlinear feedback control for path following of four-wheel independently actuated autonomous ground vehicles

2015

This paper studies the path following control problem for four-wheel independently actuated (FWIA) autonomous ground vehicles (AGVs) through integrated control of active front-wheel steering (AFS) and direct yaw-moment control (DYC). A modified composite nonlinear feedback (CNF) strategy is proposed to improve the transient performance and eliminate the steady-state errors in the path following control considering the tire force saturations, in the presence of the time-varying road curvature for the desired path. The path following is achieved through vehicle lateral and yaw control, i.e., the lateral velocity and yaw rate are simultaneously controlled to track their respective desired valu…

EngineeringControl and Optimizationbusiness.industryYawCurvatureControl and Systems Engineering; Modeling and Simulation; Control and OptimizationVehicle dynamicsNonlinear systemControl and Systems EngineeringControl theoryModeling and SimulationPath (graph theory)Transient (oscillation)Transient responsebusiness2015 54th IEEE Conference on Decision and Control (CDC)
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Robust fault tolerant tracking controller design for vehicle dynamics: A descriptor approach

2015

Abstract In this paper, an active Fault Tolerant Tracking Controller (FTTC) scheme dedicated to vehicle dynamics system is proposed. To address the challenging problem, an uncertain dynamic model of the vehicle is firstly developed, by considering the lateral forces nonlinearities as a Takagi–Sugeno (TS) representation, the sideslip angle as unmeasurable premise variables and the road bank angle as an unknown input. Subsequently, the vehicle dynamic states with the sensor faults are jointly estimated by a descriptor observer on the basis of the roll rate and the steering angle measures. Then a fault tolerant tracking controller is synthesized and solutions are proposed in terms of Linear Ma…

Scheme (programming language)EngineeringObserver (quantum physics)Basis (linear algebra)business.industryMechanical EngineeringFault toleranceControl engineeringTracking (particle physics)Computer Science ApplicationsVehicle dynamicsControl and Systems EngineeringControl theoryElectrical and Electronic EngineeringRepresentation (mathematics)businesscomputercomputer.programming_languageMechatronics
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Chaos Synchronization Based on Unknown Input Proportional Multiple-Integral Fuzzy Observer

2013

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2013/670878 Open Access This paper presents an unknown input Proportional Multiple-Integral Observer (PIO) for synchronization of chaotic systems based on Takagi-Sugeno (TS) fuzzy chaotic models subject to unmeasurable decision variables and unknown input. In a secure communication configuration, this unknown input is regarded as a message encoded in the chaotic system and recovered by the proposed PIO. Both states and outputs of the fuzzy chaotic models are subject to polynomial unknown input with kth derivative zero. Using Lyapunov stability theory…

Lyapunov stabilityPolynomialObserver (quantum physics)Article Subjectbusiness.industryApplied MathematicsMultiple integrallcsh:MathematicsChaoticlcsh:QA1-939Fuzzy logicVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Nonlinear Sciences::Chaotic DynamicsSecure communicationControl theorySynchronization (computer science)businessAnalysisMathematicsAbstract and Applied Analysis
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Finite-time stability and stabilisation for a class of nonlinear systems with time-varying delay

2014

This paper is concerned with the problems of finite-time stability FTS and finite-time stabilisation for a class of nonlinear systems with time-varying delay, which can be represented by Takagi–Sugeno fuzzy system. Some new delay-dependent FTS conditions are provided and applied to the design problem of finite-time fuzzy controllers. First, based on an integral inequality and a fuzzy Lyapunov–Krasovskii functional, a delay-dependent FTS criterion is proposed for open-loop fuzzy system by introducing some free fuzzy weighting matrices, which are less conservative than other existing ones. Then, the parallel distributed compensation controller is designed to ensure FTS of the time-delay fuzzy…

0209 industrial biotechnologyEngineeringfinite-time stabilisation; finite-time stability; fuzzy control; nonlinear system; time-delay system; Control and Systems Engineering; Theoretical Computer Science; Computer Science Applications1707 Computer Vision and Pattern RecognitionStability (learning theory)fuzzy controltime-delay system02 engineering and technologynonlinear systemFuzzy logicCompensation (engineering)Theoretical Computer Science020901 industrial engineering & automationControl theory0202 electrical engineering electronic engineering information engineeringfinite-time stabilisationfinite-time stabilityAdaptive neuro fuzzy inference systembusiness.industryComputer Science Applications1707 Computer Vision and Pattern RecognitionFuzzy control systemComputer Science ApplicationsWeightingNonlinear systemControl and Systems Engineering020201 artificial intelligence & image processingbusiness
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Recent Advances on Mathematical Modeling and Control Methods for Complex Vehicle Systems

2014

1 Department of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, Norway 2 College of Automation, Harbin Engineering University, Nantong Street #145, Nangang District, Harbin, China 3 School of Astronautics, Harbin Institute of Technology, P.O. Box 3015, Yikuang Street #2, Nangang District, Harbin, China 4 Laboratory of Modeling, Information & Systems, University of Picardie Jules Verne, Amiens, France

EngineeringAstronauticsAeronauticsArticle Subjectbusiness.industrylcsh:MathematicsApplied MathematicsbusinessChinalcsh:QA1-939Control methodsJournal of Applied Mathematics
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Discrete-timeH −  ∕ H ∞ sensor fault detection observer design for nonlinear systems with parameter uncertainty

2013

SUMMARY This work concerns robust sensor fault detection observer (SFDO) design for uncertain and disturbed discrete-time Takagi–Sugeno (T–S) systems using H −  ∕ H ∞ criterion. The principle of the proposed approach is based on simultaneously minimizing the perturbation effect and maximizing the fault effect on the residual vector. Furthermore, by introducing slack decision matrices and taking advantage of the descriptor formulation, less conservative sufficient conditions are proposed leading to easier linear matrix inequalities (LMIs). Moreover, the proposed (SFDO) design conditions allow dealing with unmeasurable premise variables. Finally, a numerical example and a truck–trailer system…

Mathematical optimizationMechanical EngineeringGeneral Chemical EngineeringBiomedical EngineeringAerospace EngineeringPerturbation (astronomy)ResidualIndustrial and Manufacturing EngineeringFault detection observerSystem modelNonlinear systemDiscrete time and continuous timeControl and Systems EngineeringControl theoryDecision matrixElectrical and Electronic EngineeringDesign methodsMathematicsInternational Journal of Robust and Nonlinear Control
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Fuzzy control for Electric Power Steering System with assist motor current input constraints

2015

Abstract Friction and disturbances of the road are the main sources of nonlinearity in the Electric Power Steering (EPS) System. Consequently, conventional linear controllers design based on a simplified linear model of the EPS system will result in poor dynamic performance or system instability. On the other hand, a brush-type DC motor is more used in EPS control with an input current that is limited in practice. The control laws designed without taking into account the saturation effect may have undesirable consequences on the system stability. In this paper, a Takagi–Sugeno (T−S) fuzzy is used to represent the nonlinear behavior of an EPS system, and stabilization conditions for nonlinea…

Engineeringbusiness.industryComputer Networks and CommunicationsApplied MathematicsControl (management)Linear modelControl engineeringFuzzy control systemControl and Systems Engineering; Signal Processing; Computer Networks and Communications; Applied MathematicsDC motorInstabilityFuzzy logicNonlinear systemControl theoryControl and Systems EngineeringSignal ProcessingbusinessSaturation (chemistry)
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Robust Observer Design for Takagi-Sugeno Fuzzy Systems with Mixed Neutral and Discrete Delays and Unknown Inputs

2012

Published version of an article from the journal: Mathematical Problems in Engineering. Also available from the publisher:http://dx.doi.org/10.1155/2012/635709 A robust observer design is proposed for Takagi-Sugeno fuzzy neutral models with unknown inputs. The model consists of a mixed neutral and discrete delay, and the disturbances are imposed on both state and output signals. Delay-dependent sufficient conditions for the design of an unknown input T-S observer with time delays are given in terms of linear matrix inequalities. Some relaxations are introduced by using intermediate variables. A numerical example is given to illustrate the effectiveness of the given results.

VDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Time delaysObserver (quantum physics)Article SubjectGeneral Mathematicslcsh:MathematicsVDP::Technology: 500General EngineeringFuzzy control systemLinear matrixlcsh:QA1-939Fuzzy logicTakagi sugenoControl theorylcsh:TA1-2040State (computer science)lcsh:Engineering (General). Civil engineering (General)MathematicsMathematical Problems in Engineering
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Robust fault tolerant tracking controller design for a VTOL aircraft

2013

This paper deals with the fault tolerant control (FTC) design for a Vertical Takeoff and Landing (VTOL) aircraft subject to external disturbances and actuator faults. The aim is to synthesize a fault tolerant controller ensuring trajectory tracking for the nonlinear uncertain system represented by a Takagi-Sugeno (T-S) model. In order to design the FTC law, a proportional integral observer (PIO) is adopted which estimate both of the faults and the faulty system states. Based on the Lyapunov theory and ℓ2 optimization, the trajectory tracking performance and the stability of the closed loop system are analyzed. Sufficient conditions are obtained in terms of linear matrix inequalities (LMI). …

Controller designEngineeringComputer Networks and Communicationsbusiness.industryApplied MathematicsReliability (computer networking)Takagi-Sugeno modelsComputerApplications_COMPUTERSINOTHERSYSTEMSControl engineeringFault toleranceclosed loop systemAeronauticsControl and Systems EngineeringSignal ProcessingFlight safetyCommercial aviationbusinessfault tolerant control
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An ant colony optimization-based fuzzy predictive control approach for nonlinear processes

2015

In this paper, a new approach for designing an adaptive fuzzy model predictive control (AFMPC) based on the ant colony optimization (ACO) is proposed. On-line adaptive fuzzy identification is introduced to identify the system parameters. These parameters are used to calculate the objective function based on a predictive approach and structure of RST control. Then the optimization problem is solved based on an ACO algorithm, used at the optimization process in AFMPC to determine optimal controller parameters of RST control. The utility of the proposed controller is demonstrated by applying it to two nonlinear processes, where the proposed approach provides better performances compared with p…

Information Systems and ManagementMeta-optimizationOptimization problemComputer scienceAnt colony optimization algorithmsComputer Science::Neural and Evolutionary ComputationProcess (computing)Computer Science ApplicationsTheoretical Computer ScienceNonlinear systemModel predictive controlArtificial IntelligenceControl and Systems EngineeringControl theoryMetaheuristicSoftwareInformation Sciences
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H∞ fuzzy control of DC-DC converters with input constraint

2012

Published version of an article in the journal: Mathematical Problems in Engineering. Also available from the publisher at: http://dx.doi.org/10.1155/2012/973082 Open access This paper proposes a method for designing H∞ fuzzy control of DC-DC converters under actuator saturation. Because linear control design methods do not take into account the nonlinearity of the system, a T-S fuzzy model and a controller design approach is used. The designed control not only handles the external disturbance but also the saturation of duty cycle. The input constraint is first transformed into a symmetric saturation which is represented by a polytopic model. Stabilization conditions for the H∞ state feedba…

EngineeringArticle Subjectinput constraintsstate feedback systemGeneral Mathematicssimulation examplePlantControl theoryactuator saturationspolytopic modelsexternal disturbancesbusiness.industrylcsh:MathematicsGeneral EngineeringFuzzy control systemConvertersLyapunov approachlcsh:QA1-939VDP::Mathematics and natural science: 400::Mathematics: 410Constraint (information theory)Nonlinear systemDuty cyclelcsh:TA1-2040T-S fuzzy modelscontroller designsState (computer science)businessSaturation (chemistry)lcsh:Engineering (General). Civil engineering (General)linear control design
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On stability and stabilization of singular uncertain Takagi-Sugeno fuzzy systems

2014

This paper deals with the problem of robust stability and robust stabilization for a class of continuous-time singular Takagi-Sugeno fuzzy systems. Sufficient conditions on stability and stabilization are proposed in terms of strict LMI (Linear Matrix Inequality) for uncertain T-S fuzzy models. In order to reduce the conservatism of results developed using quadratic method, an approach based on non-quadratic Lyapunov functions and S-procedure is proposed. Illustrative examples are given to show the effectiveness of the given results Refereed/Peer-reviewed

Lyapunov functionComputer Networks and CommunicationsApplied MathematicsMathematicsofComputing_NUMERICALANALYSISStability (learning theory)Linear matrix inequalityrobust stabilityFuzzy control systemControl and Systems Engineering; Signal Processing; Computer Networks and Communications; Applied MathematicsFuzzy logicstabilizationsymbols.namesakeQuadratic equationTakagi sugenoControl and Systems EngineeringControl theoryComputer Science::Systems and ControlSignal ProcessingsymbolsTakagi-Sugeno fuzzy systemsMathematics
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Control and Estimation of Electrified Vehicles

2015

EstimationComputer Networks and CommunicationsControl and Systems EngineeringControl theoryComputer scienceApplied MathematicsSignal ProcessingControl (management)Journal of the Franklin Institute
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Fault Detection, Isolation, andTolerant Control of Vehicles using Soft Computing Methods

2014

Human-Computer InteractionSoft computingControl and OptimizationControl and Systems EngineeringComputer sciencebusiness.industryEmbedded systemIsolation (database systems)Electrical and Electronic EngineeringbusinessFault detection and isolationComputer Science ApplicationsIET Control Theory & Applications
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Faults diagnosis based on proportional integral observer for TS fuzzy model with unmeasurable premise variable

2014

In this work, we focus on the synthesis of a Proportional Integral (PI) observer for the actuators and sensors faults diagnosis based on Takagi-Sugeno (TS) fuzzy model with unmeasurable premise variables. The faults estimation method is based on the assumption that these faults act as unknown inputs under polynomials form whose their kth derivatives are bounded. The convergence conditions of the observer as well as the faults reconstruction are established on the basis of the Lyapunov stability theory and the L 2 optimization technique, expressed as Linear Matrix Inequalities (LMI) constraints. In order to validate the proposed approach, a hydraulic system with two tanks is proposed.

Lyapunov stabilityObserver (quantum physics)Basis (linear algebra)Applied MathematicsTheoretical Computer ScienceArtificial IntelligenceComputer Science::Systems and ControlControl theoryBounded functionConvergence (routing)Hydraulic machineryTheoretical Computer Science; Software; Artificial Intelligence; Applied MathematicsFocus (optics)SoftwareVariable (mathematics)Mathematics2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
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Design of robust observer for T-S fuzzy time-delayed systems subject to unknown inputs

2013

In this paper, a novel approach is proposed to design a robust observer for a class of Takagi-Sugeno (T-S) fuzzy models with unknown inputs and delays. The main contribution of this paper is to consider unknown inputs and a mixed neutral and discrete delay in the model. Also, the system is subject to disturbances, which are imposed on both state and output signals. Delay-dependent sufficient conditions for the design of an unknown input T-S observer with time delays are given in terms of linear matrix inequalities (LMIs). Some relaxations are introduced by using intermediate variables. A numerical example is given to illustrate the effectiveness of the given results.

Mathematical optimizationTime delaysTime delayedObserver (quantum physics)Control theoryComputer scienceSubject (grammar)Fuzzy control systemState (computer science)Linear matrixFuzzy logic2013 International Conference on Fuzzy Theory and Its Applications (iFUZZY)
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Design of unknown inputs proportional integral observers for TS fuzzy models

2014

In this paper the design of unknown inputs proportional integral observers for Takagi-Sugeno (TS) fuzzy models subject to unmeasurable decision variables is proposed. These unknown inputs affect both state and output of the system. The synthesis of these observers is based on two hypotheses that the unknown inputs are under the polynomials form with their kth derivatives zero for the first one and bounded norm for the second one, hence two approaches. The Lyapunov theory and L"2-gain technique are used to develop the stability conditions of such observers in LMIs (linear matrix inequality) formulation. A simulation example is given to validate and compare the proposed design conditions for …

Lyapunov functionUnknown inputs reconstructionCognitive NeuroscienceLinear matrix inequalityComputer Science Applications1707 Computer Vision and Pattern RecognitionFuzzy logicComputer Science ApplicationsStability conditionssymbols.namesakeDecision variablesComputer Science::Systems and ControlArtificial IntelligenceControl theoryBounded functionNorm (mathematics)Unmeasurable decision variablessymbolsTS fuzzy modelsProportional integral observer; TS fuzzy models; Unknown inputs reconstruction; Unmeasurable decision variables; Artificial Intelligence; Computer Science Applications1707 Computer Vision and Pattern Recognition; Cognitive NeuroscienceProportional integral observerMathematicsNeurocomputing
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