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Finite‐Time H∞ Control for Discrete‐Time Markov Jump Systems with Actuator Saturation

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  • Bo Li
  • Junjie Zhao

Abstract

This paper investigates the finite‐time control problem for discrete‐time Markov jump systems subject to saturating actuators. A finite‐state Markovian process is given to govern the transition of the jumping parameters. The finite‐time H∞ controller via state feedback is designed to guarantee that the resulting system is mean‐square locally asymptotically finite‐time stabilizable. Based on stochastic finite‐time stability analysis, sufficient conditions that ensure stochastic control performance of discrete‐time Markov jump systems are derived in the form of linear matrix inequalities. Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

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Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:182613
DOI: 10.1155/2014/182613
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