Abstract and Applied Analysis

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

Bo Li and Junjie Zhao

Full-text: Open access

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 182613, 7 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412605755

Digital Object Identifier
doi:10.1155/2014/182613

Mathematical Reviews number (MathSciNet)
MR3198157

Zentralblatt MATH identifier
07021885

Citation

Li, Bo; Zhao, Junjie. Finite-Time ${H}_{\infty }$ Control for Discrete-Time Markov Jump Systems with Actuator Saturation. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 182613, 7 pages. doi:10.1155/2014/182613. https://projecteuclid.org/euclid.aaa/1412605755


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