Search results for "Matrix inequalities"

showing 8 items of 18 documents

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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Static output-feedback control under information structure constraints

2013

An important challenge in the static output-feedback control context is to provide an isolated gain matrix possessing a zero-nonzero structure, mainly in problems presenting information structure constraints. Although some previous works have contributed some relevant results to this issue, a fully satisfactory solution has not yet been achieved up to now. In this note, by using a Linear Matrix Inequality approach and based on previous results given in the literature, we present an e cient methodology which permits to obtain an isolated static output-feedback gain matrix having, simultaneously, a zero-nonzero structure imposed a priori. Peer Reviewed

Output feedbackAutomatic controlLMIs:Informàtica::Automàtica i control [Àrees temàtiques de la UPC]:Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics [Àrees temàtiques de la UPC]:15 Linear and multilinear algebra; matrix theory [Classificació AMS]Information structureControl (management):15 Linear and multilinear algebra [Classificació AMS]Structure (category theory)Linear matrix inequalityContext (language use)Information structure constraintsOutput-feedback controlMatrius (Matemàtica)Control automàticMatrix (mathematics)Control and Systems EngineeringControl theoryInformation structure constraints; LMIs; Output-feedback controlmatrix theoryA priori and a posterioriElectrical and Electronic EngineeringMatrix inequalitiesMathematics
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Static output-feedback control for vehicle suspensions: a single-step linear matrix inequality approach

2013

In this paper, a new strategy to design static output-feedback controllers for a class of vehicle suspension systems is presented. A theoretical background on recent advances in output-feedback control is first provided, which makes possible an effective synthesis of static output-feedback controllers by solving a single linear matrix inequality optimization problem. Next, a simplified model of a quarter-car suspension system is proposed, taking the ride comfort, suspension stroke, road holding ability, and control effort as the main performance criteria in the vehicle suspension design. The new approach is then used to design a static output-feedbackH∞controller that only uses the suspensi…

Output feedbackEngineeringOptimization problemArticle Subject:Informàtica::Automàtica i control [Àrees temàtiques de la UPC]General MathematicsSingle stepFeedback control systemsMatrius (Matemàtica)Vehicles -- Ressorts i suspensió:93 Systems Theory; Control [Classificació AMS]Deflection (engineering)Control theoryControlMatrix inequalitiesSuspension (vehicle):93 Systems Theory [Classificació AMS]Vehicles--Springs and suspensionbusiness.industrylcsh:MathematicsGeneral EngineeringLinear matrix inequality:Matemàtiques i estadística [Àrees temàtiques de la UPC]Control engineeringlcsh:QA1-939lcsh:TA1-2040Sistemes de control per retroaccióSprung masslcsh:Engineering (General). Civil engineering (General)business
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Optimal passive-damping design using a decentralized velocity-feedback H-infinity approach

2012

In this work, a new strategy to design passive energy dissipation systems for vibration control of large structures is presented. The method is based on the equivalence between passive damping systems and fully decentralized static velocity-feedback controllers. This equivalence allows to take advantage of recent developments in static output-feedback control design to formulate the passive-damping design as a single optimization problem with Linear Matrix Inequality constraints. To illustrate the application of the proposed methodology, a passive damping system is designed for the seismic protection of a five-story building with excellent results. Peer Reviewed

Work (thermodynamics)EngineeringOptimization problemDecentralized controlStructural Vibration Control:Informàtica::Automàtica i control [Àrees temàtiques de la UPC]Static output-feedbackVibration control:Enginyeria civil::Materials i estructures [Àrees temàtiques de la UPC]Feedback control systemsMatrius (Matemàtica)lcsh:QA75.5-76.95Structural vibration controlControl d'estructures (Enginyeria):93 Systems Theory; Control [Classificació AMS]Control theoryControlMatrix inequalitiesEquivalence (measure theory):93 Systems Theory [Classificació AMS]business.industryOptimal passive dampingLinear matrix inequalityControl engineeringDissipationDecentralised systemComputer Science ApplicationsH-infinity methods in control theoryControl and Systems EngineeringModeling and SimulationSistemes de control per retroacciólcsh:Electronic computers. Computer scienceStructural control (Engineering)businessSoftware
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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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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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Active-passive decentralized H∞ control for adjacent buildings under seismic excitation

2011

Author's version of a chapter in the book: Proceedings of the 18th IFAC World Congress 2011. Also available from the publisher at: http://dx.doi.org/10.3182/20110828-6-IT-1002.01192 In this paper, a control strategy to reduce the vibrational response of adjacent buildings under seismic excitation is presented. The proposed strategy combines passive linking elements with an active decentralized H∞ control system. The overall active-passive control system admits decentralized design and operation, and achieves an excellent vibrational reduction when the active control system works; in case of a full or partial failure of the active control system, a remarkable reduction in the vibrational res…

decentralized control H-infinity control structural vibration control linear matrix inequalitiesVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413VDP::Technology: 500::Materials science and engineering: 520
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