基于观测器的非线性不确定时滞跳变系统无源控制

Abstract

Abstract:

Based on the robust control theory, the problem of passive control and the design of the observer-based passive controller for a class of nonlinear uncertain time-delay Markov jump systems are dealt with by using linear matrix inequalities. By constructing proper Lyapunov functions, a sufficient condition for the system to be asymptotically stable with a passive index bound is presented for all admissible uncertainties, time-delays,
and nonlinearities. The passive controller is obtained by solving a linear matrix inequality. Simulation results demonstrate the validity of the proposed approaches.

Key words: Markov jump systems, Nonlinear, Uncertain time-delay, Passive control, Observer, Linear matrix inequality (LMI)

CLC Number:

34F05

HE Shu-Beng, LIU Fei. Observer-based Passive Control for Nonlinear Uncertain Time-delay Jump Systems[J].Acta mathematica scientia,Series A, 2009, 29(2): 334-343.

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Observer-based Passive Control for Nonlinear Uncertain Time-delay Jump Systems

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