Finite-Time Control for Discrete-Time Markov Jump Systems with Actuator Saturation

Bo Li and Junjie Zhao

Abstract and Applied Analysis, 2014, vol. 2014, 1-7

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 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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:182613

DOI: 10.1155/2014/182613

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