## Abstract and Applied Analysis

### Finite-Time ${H}_{\infty }$ Control for a Class of Discrete-Time Markov Jump Systems with Actuator Saturation via Dynamic Antiwindup Design

#### Abstract

We deal with 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. A controller designed for unconstrained systems combined with a dynamic antiwindup compensator is given to guarantee that the resulting system is mean-square locally asymptotically finite-time stabilizable. The proposed conditions allow us to find dynamic anti-windup compensator which stabilize the closed-loop systems in the finite-time sense. All these conditions can be expressed in the form of linear matrix inequalities and therefore are numerically tractable, as shown in the example included in the paper.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 906902, 9 pages.

Dates
First available in Project Euclid: 6 October 2014

https://projecteuclid.org/euclid.aaa/1412605765

Digital Object Identifier
doi:10.1155/2014/906902

Mathematical Reviews number (MathSciNet)
MR3186986

Zentralblatt MATH identifier
07023285

#### Citation

Zhao, Junjie; Wang, Jing; Li, Bo. Finite-Time ${H}_{\infty }$ Control for a Class of Discrete-Time Markov Jump Systems with Actuator Saturation via Dynamic Antiwindup Design. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 906902, 9 pages. doi:10.1155/2014/906902. https://projecteuclid.org/euclid.aaa/1412605765

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