0000000000049607

AUTHOR

Shipei Huang

showing 4 related works from this author

Robust l2-gain control for 2D nonlinear stochastic systems with time-varying delays and actuator saturation

2013

Abstract This paper is concerned with the problems of stability analysis and l2-gain control for a class of two-dimensional (2D) nonlinear stochastic systems with time-varying delays and actuator saturation. Firstly, a convex hull representation is used to describe the saturation behavior, and a sufficient condition for the existence of mean-square exponential stability of the considered system is derived. Then, a state feedback controller which guarantees the resulting closed-loop system to be mean-square exponentially stable with l2-gain performance is proposed, and an optimization procedure to maximize the estimation of domain of attraction is also given. All the obtained results are for…

Convex hullComputer Networks and CommunicationsApplied MathematicsLinear matrixActuator saturationNonlinear systemExponential stabilityControl and Systems EngineeringControl theorySignal ProcessingFull state feedbackAutomatic gain controlSaturation (chemistry)MathematicsJournal of the Franklin Institute
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Input-Output Finite-Time Stability of Discrete-Time Impulsive Switched Linear Systems with State Delays

2013

Published version of an article in the journal: Circuits, Systems, and Signal Processing. Also available from the publisher at: http://dx.doi.org/10.1007/s00034-013-9610-7 This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for discrete impulsive switched systems with state delays. Sufficient conditions are presented for the existence of IO-FTS for such systems under the cases of certain switching, arbitrary switching, and uncertain switching. All the obtained results are formulated in a set of linear matrix inequalities (LMIs). Two numerical examples are given to illustrate the effectiveness of the proposed results.

Input/outputSignal processingFinite-time stability; Impulsive systems; Input-output stability; Linear matrix inequality; State delays; Switched systems; Signal Processing; Applied MathematicsApplied MathematicsVDP::Technology: 500Linear systemLinear matrix inequalityImpulsive systemsState (functional analysis)Linear matrix inequalityStability (probability)State delaysSet (abstract data type)Input-output stabilityDiscrete time and continuous timeControl theoryFinite-time stabilitySignal Processingfinear matrix inequalitySwitched systemsMathematicsCircuits, Systems, and Signal Processing
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Input-output finite-time stability of positive switched linear systems with state delays

2013

This paper is concerned with the problem of input-output finite-time stability (IO-FTS) for a class of discrete-time positive switched systems with time-varying delays. Two sufficient conditions for the existence of IO-FTS of such systems with respect to two different input signals are presented, respectively. All the results obtained are formulated in a set of linear inequalities. Two numerical examples are given to illustrate the effectiveness of the proposed results.

Set (abstract data type)Input/outputLinear inequalityClass (set theory)Control theoryLinear systemState (functional analysis)Finite timeStability (probability)Mathematics2013 9th Asian Control Conference (ASCC)
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Stabilization and controller design of 2D discrete switched systems with state delays under asynchronous switching

2013

Published version of a paper from the journal: Abstract and Applied Analysis. Also available from Hindawi:http://dx.doi.org/10.1155/2013/961870. Open Access This paper is concerned with the problem of robust stabilization for a class of uncertain two-dimensional (2D) discrete switched systems with state delays under asynchronous switching. The asynchronous switching here means that the switching instants of the controller experience delays with respect to those of the system. The parameter uncertainties are assumed to be norm-bounded. A state feedback controller is proposed to guarantee the exponential stability. The dwell time approach is utilized for the stability analysis and controller …

Controller designVDP::Mathematics and natural science: 400::Mathematics: 410::Applied mathematics: 413Article SubjectApplied Mathematicslcsh:MathematicsVDP::Technology: 500::Mechanical engineering: 570Stability (learning theory)lcsh:QA1-939Dwell timeExponential stabilityControl theoryAsynchronous communicationFull state feedbackState (computer science)AnalysisMathematics
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