Search results for "time-delay system"

showing 3 items of 3 documents

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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Observer-based H∞ control on stochastic nonlinear systems with time-delay and actuator nonlinearity

2013

Abstract In this paper, an observer-based H ∞ controller is designed for a class of extended Markov jump systems subject to time-delay and actuator saturation nonlinearity. Gradient linearization procedure is employed to describe such nonlinear systems by several linear Markov jump systems. Next, a mode-dependent Lyapunov function is constructed for these linear systems, and a sufficient condition is derived to make them stochastically stable, and then, a continuous gain-scheduled approach is applied to design a continuous nonlinear observer-based controller on the entire extended nonlinear jump system. A simulation example is given to illustrate the effectiveness of developed techniques.

Lyapunov functionDiscrete systemObserver (quantum physics)Computer Networks and CommunicationsApplied MathematicsLinear systemtime-delay systemH infinite controlsymbols.namesakeNonlinear systemControl and Systems EngineeringLinearizationControl theorySignal ProcessingsymbolsJumpsaturating controlActuatordisturbance-observer-based controlMathematics
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Robust delay-dependent H∞ control of uncertain time-delay systems with mixed neutral, discrete, and distributed time-delays and Markovian switching p…

2011

Author's version of an article published in the journal: IEEE Transactions on Circuits and Systems I: Regular Papers. Also available from the publisher at: http://dx.doi.org/10.1109/tcsi.2011.2106090 The problem of robust mode-dependent delayed state feedback H ∞ control is investigated for a class of uncertain time-delay systems with Markovian switching parameters and mixed discrete, neutral, and distributed delays. Based on the LyapunovKrasovskii functional theory, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities for the stochastic stability and stabilization of the considered system using some free matrices. The desired control is …

delay systems H∞ control linear matrix inequalities Markov processes uncertain systems delay-dependent delayed state feedback distributed delays Lyapunov-Krasovskii functionals Markovian switching numerical example Stochastic stability and stabilization sufficient conditions uncertain time-delay system control system stability convex optimization delay control systems stabilization state feedback switching systems time delay uncertainty analysis discrete time control systemsVDP::Technology: 500::Mechanical engineering: 570VDP::Mathematics and natural science: 400::Mathematics: 410
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