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

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...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2014; no. 2014; pp. 489 - 495-153
Main Authors Li, Bo, Zhao, Junjie
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 2014
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Closed loop systems
Controllers
Design
Feedback control systems
Neural networks
Probability
Science
Studies
Online AccessGet full text
ISSN1085-3375
1687-0409
DOI10.1155/2014/182613

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Summary: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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ISSN:1085-3375
1687-0409
DOI:10.1155/2014/182613