Search results for "linear matrix inequalities"

showing 10 items of 13 documents

Time-varying Sampled-data Observer with Asynchronous Measurements

2019

International audience; In this paper a time-varying observer for a linear continuous-time plant with asynchronous sampled measurements is proposed. The observer is contextualized in the hybrid systems framework providing an elegant setting for the proposed solution. In particular some theoretical tools are provided, in terms of LMIs, certifying asymptotic stability of a certain compact set where the estimation error is zero. We consider sampled asynchronous measurements that occur at arbitrary times in a certain window with an upper and lower bound. The design procedure, that we propose for the selection of the time-varying gain, is based on a constructive algorithm that is guaranteed to f…

0209 industrial biotechnologyObserver (quantum physics)02 engineering and technologyUpper and lower boundsElectronic mail[SPI]Engineering Sciences [physics]020901 industrial engineering & automationSample data observerExponential stabilitySettore ING-INF/04 - AutomaticaControl theorylinear matrix inequalities (LMIs)linear matrixElectrical and Electronic Engineeringlinear matrix inequalitiesMathematicsLinear systemlinear systemshybrid systemssampled-data observerComputer Science ApplicationsCompact spaceControl and Systems EngineeringAsynchronous communicationHybrid systemhybrid systemDiscrete asynchronous measurementdiscrete asynchronous measurementsdiscrete asynchronous
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A Hybrid Control Strategy for Quadratic Boost Converters with Inductor Currents Estimation

2020

International audience; This paper deals with a control strategy for a DC-DC quadratic boost converter. In particular, a hybrid control scheme is proposed to encompass a control law and an observer for the estimation of the system states, based only on the measurements of the input and output voltages. Differently from classical control methods, where the controller is designed from a small-signal model, here the real model of the system is examined without considering the average values of the discrete variables. Using hybrid dynamical system theory, asymptotic stability of a neighborhood of the equilibrium point is established, ensuring practical stability of the origin, which contains es…

0209 industrial biotechnologyhybrid dynamical systemsObserver (quantum physics)Computer science02 engineering and technologyDynamical systemStability (probability)020901 industrial engineering & automationQuadratic equationExponential stabilitySettore ING-INF/04 - AutomaticaControl theoryswitching systems[INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering0202 electrical engineering electronic engineering information engineeringElectrical and Electronic Engineeringlinear matrix inequalitiesEquilibrium pointApplied Mathematics020208 electrical & electronic engineeringobserverConvertersComputer Science ApplicationsHybrid dynamical systems Linear matrix inequalities Observer Quadratic boost converter Switching systemsControl and Systems EngineeringQuadratic boost converter
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A time-varying observer for linear systems with asynchronous discrete-time measurements

2017

International audience; In this paper we propose a time-varying observer for a linear continuous-time plant with asynchronous discrete-time measurements. The proposed observer is contextualized in the hybrid systems framework providing an elegant setting for the proposed solution. In particular some theoretical tools are provided, in terms of LMIs, certifying asymptotic stability of a certain compact set where the estimation error is zero. Moreover the case of asynchronous measurements is considered, i.e. when the measurements are not provided in well defined time instants, but they occur at an arbitrary time in a certain time interval. A design procedure based on the numerical solution of …

0301 basic medicine0209 industrial biotechnologyObserver (quantum physics)Computer scienceLinear system02 engineering and technologyInterval (mathematics)Sampled-data observerdiscrete asynchronous measurement[SPI.AUTO]Engineering Sciences [physics]/Automatic03 medical and health sciences030104 developmental biology020901 industrial engineering & automationSettore ING-INF/04 - AutomaticaExponential stabilityDiscrete time and continuous timeAsynchronous communicationControl theoryHybrid systemhybrid systemlinear systemlinear matrix inequalities
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A robust fault detection design for uncertain Takagi-Sugeno models with unknown inputs and time-varying delays

2013

Abstract This paper investigates the problem of robust fault detection system design for a class of uncertain Takagi–Sugeno (T–S) models. The system under consideration is subject to unknown input and time-varying delay. The fault detection system is designed such that the unknown input is thoroughly decoupled from residual signals generated by the fault detection system. Furthermore, the residual signals show the maximum possible sensitivity to the faults and the minimum possible sensitivity to the external disturbances. The model matching approach is utilized to tackle the effects of parametric uncertainties in the model of the system. The design procedure is presented in terms of Linear …

Engineeringbusiness.industryLinear Matrix InequalitiesComputer Science Applications1707 Computer Vision and Pattern RecognitionLinear matrixT-S modelResidualFault detection and isolationComputer Science ApplicationsTakagi sugenoControl theoryControl and Systems EngineeringSystems designSensitivity (control systems)Time-delayModel matchingbusinessFault detectionFault detection; Linear Matrix Inequalities; T-S model; Time-delay; Unknown input; Control and Systems Engineering; Analysis; Computer Science Applications1707 Computer Vision and Pattern RecognitionUnknown inputAnalysisParametric statistics
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Finite-Time H∞ Filtering for T-S Fuzzy Discrete-Time Systems with Time-Varying Delay and Norm-Bounded Uncertainties

2015

In this paper, we investigate the filtering problem of discrete-time Takagi–Sugeno (T–S) fuzzy uncertain systems subject to time-varying delays. A reduced-order filter is designed. With the augmentation technique, a filtering error system with delayed states is obtained. In order to deal with time delays in system states, the filtering error system is first transformed into two interconnected subsystems. By using a two-term approximation for the time-varying delay, sufficient delay-dependent conditions of finite-time boundedness and $H_{\infty }$ performance of the filtering error system are derived with the Lyapunov function. Based on these conditions, the filter design methods are propose…

Lyapunov function0209 industrial biotechnology02 engineering and technologyFuzzy logicsymbols.namesake020901 industrial engineering & automationControl theoryArtificial Intelligence0202 electrical engineering electronic engineering information engineeringFiltering problemnorm-bounded uncertaintieslinear matrix inequalities (LMIs)T-S fuzzy systemMathematicsApplied MathematicsFilter (signal processing)Finite-time boundednesstime delayFilter designH-infinity methods in control theoryDiscrete time and continuous timeComputational Theory and MathematicsControl and Systems EngineeringBounded functionsymbols020201 artificial intelligence & image processingHâ filteringFinite-time boundedness; H∞ filtering; linear matrix inequalities (LMIs); norm-bounded uncertainties; T-S fuzzy system; time delay; Control and Systems Engineering; Computational Theory and Mathematics; Artificial Intelligence; Applied Mathematics
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Finite-time boundedness for uncertain discrete neural networks with time-delays and Markovian jumps

2014

This paper is concerned with stochastic finite-time boundedness analysis for a class of uncertain discrete-time neural networks with Markovian jump parameters and time-delays. The concepts of stochastic finite-time stability and stochastic finite-time boundedness are first given for neural networks. Then, applying the Lyapunov approach and the linear matrix inequality technique, sufficient criteria on stochastic finite-time boundedness are provided for the class of nominal or uncertain discrete-time neural networks with Markovian jump parameters and time-delays. It is shown that the derived conditions are characterized in terms of the solution to these linear matrix inequalities. Finally, n…

Lyapunov functionDiscrete-time systems; Linear matrix inequalities; Markovian jump systems; Neural networks; Stochastic finite-time boundedness; Artificial Intelligence; Computer Science Applications1707 Computer Vision and Pattern Recognition; Cognitive NeuroscienceArtificial neural networkMarkov chainStochastic processCognitive NeuroscienceMarkovian jump systemsLinear matrix inequalitiesLinear matrix inequalityComputer Science Applications1707 Computer Vision and Pattern RecognitionComputer Science Applicationssymbols.namesakeDiscrete time and continuous timeArtificial IntelligenceDiscrete-time systemssymbolsCalculusApplied mathematicsStochastic neural networkJump processNeural networksStochastic finite-time boundednessMathematics
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On the stability analysis for impulsive switching system with time-varying delay

2014

This paper focuses on the stability and stabilization problem for a neutral impulsive switching system with time-varying delay. Based on LMI method and optimization technologies, some stability criteria are derived for this kind of system. Some example and numerical simulation are given to demonstrate the effectiveness of our theoretical results. Refereed/Peer-reviewed

Mathematical optimizationComputer simulationLinear matrix inequalitiesStability (probability)impulsive switchingImpulsive switching; Linear matrix inequalities; neutral system; Time delay; Electrical and Electronic Engineering; Control and Systems EngineeringControl and Systems EngineeringControl theoryneutral systemImpulsive switchingElectrical and Electronic Engineeringlinear matrix inequalitiesTime delayMathematics2014 IEEE 23rd International Symposium on Industrial Electronics (ISIE)
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Robust control of uncertain multi-inventory systems via linear matrix inequality

2008

We consider a continuous time linear multi inventory system with unknown demands bounded within ellipsoids and controls bounded within ellipsoids or polytopes. We address the problem of "-stabilizing the inventory since this implies some reduction of the inventory costs. The main results are certain conditions under which "-stabilizability is possible through a saturated linear state feedback control. All the results are based on a Linear Matrix Inequalities (LMIs) approach and on some recent techniques for the modeling and analysis of polytopic systems with saturations.

Mathematical optimizationLinear Matrix InequalitiesPolytopeDynamical Systems (math.DS)stock control93xxcontinuous systems linear matrix inequalities linear systems manufacturing systems robust control state feedback stock control uncertain systemsimpulse control inventory control hybrid systemsSettore ING-INF/04 - AutomaticaControl theoryFOS: Mathematicsmanufacturing systemsMathematics - Dynamical Systemslinear matrix inequalitiesstate feedbackTime complexityMathematics - Optimization and ControlInventory systemsMathematicsInventory controlLinear Matrix Inequalities; Inventory systemsLinear systemlinear systemsLinear matrix inequality93Cxx;93xxLinearity93Cxxhybrid systemsEllipsoidComputer Science Applicationsimpulse control; inventory control; hybrid systemsuncertain systemsControl and Systems EngineeringOptimization and Control (math.OC)Control systemBounded functioncontinuous systemsPerpetual inventorycontinuous systems; linear matrix inequalities; linear systems; manufacturing systems; robust control; state feedback; stock control; uncertain systemsinventory controlRobust controlSettore MAT/09 - Ricerca Operativarobust controlimpulse control
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Comments on “Finite-Time $H_{\infty }$ Fuzzy Control of Nonlinear Jump Systems With Time Delays Via Dynamic Observer-Based State Feedback”

2014

This paper investigates a defect appearing in “Finite-time H∞ fuzzy control of nonlinear jump systems with time delays via dynamic observer-based state feedback,” which the observer-based finite-time H∞ controller via dynamic observer-based state feedback could not ensuring stochastic finite-time boundedness, and satisfying a prescribed level of H∞ disturbance attenuation for the resulting closed-loop error fuzzy Markov jump systems. The corrected results are presented, and the improved optimal algorithms and new simulation results are also provided in this paper.

Observer (quantum physics)Applied MathematicsFinite-time H controlMarkov processTakagi-Sugeno (T-S) fuzzy modelFuzzy control systemState (functional analysis)Fuzzy logicNonlinear systemsymbols.namesakeComputational Theory and MathematicsArtificial IntelligenceControl and Systems EngineeringControl theoryMarkov jump systems (MJS)observer-based state feedbacksymbolsJumplinear matrix inequalities (LMIs)Finite-time H control; linear matrix inequalities (LMIs); Markov jump systems (MJS); observer-based state feedback; Takagi-Sugeno (T-S) fuzzy model; Control and Systems Engineering; Artificial Intelligence; Computational Theory and Mathematics; Applied MathematicsMathematicsIEEE Transactions on Fuzzy Systems
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Static output-feedback controller design for vehicle suspensions: an effective two-step computational approach

2014

In this study, a novel two-step methodology is applied in designing static output-feedback controllers for a class of vehicle suspension systems. Following this approach, an effective synthesis of static output-feedback controllers can be carried out by solving two consecutive linear matrix inequality optimisation problems. To illustrate the main features of the proposed design strategy, two different static output-feedback H 8 controllers are designed for a quarter-car suspension system. The first of those controllers uses the suspension deflection and the sprung mass velocity as feedback information, whereas the second one only requires the sprung mass velocity to compute the control acti…

Output feedbackEngineeringFrequency responseControl and Optimization:Informàtica::Automàtica i control [Àrees temàtiques de la UPC]Linear matrix inequalitiesVehicle suspensionsDesign strategyControl and Systems Engineering; Human-Computer Interaction; Computer Science Applications1707 Computer Vision and Pattern Recognition; Control and Optimization; Electrical and Electronic EngineeringFeedback control systemsMatrius (Matemàtica)Vehicles -- Ressorts i suspensió:93 Systems Theory; Control [Classificació AMS]Control theoryDeflection (engineering)ControlElectrical and Electronic EngineeringMatrix inequalitiesSuspension (vehicle)Controller design:93 Systems Theory [Classificació AMS]Vehicles--Springs and suspensionbusiness.industryLinear matrix inequality:Matemàtiques i estadística [Àrees temàtiques de la UPC]Control engineeringComputer Science Applications1707 Computer Vision and Pattern RecognitionVehicles -- Springs and suspensionComputer Science ApplicationsHuman-Computer InteractionControl and Systems EngineeringSistemes de control per retroaccióSprung massbusinessStatic output-feedback control
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