Finite-time Control for Discrete-time Markovian Jump Systems with Deterministic Switching and Time-delay

被引：13
|
作者：
Wen, Jiwei [1 ]
Peng, Li [1 ]
Nguang, Sing Kiong [2 ]
机构：
[1] Jiangnan Univ, Sch Internet Things Engn, Key Lab Adv Proc Control Light Ind, Minist Educ, Wuxi 214122, Peoples R China
[2] Univ Auckland, Dept Elect & Comp Engn, Auckland 92019, New Zealand
来源：
INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2014年 / 12卷 / 03期
关键词：
Average dwell time; finite-time boundedness; finite-time weighted l(2) gain; switching dynamics Markovian jump linear system; H-INFINITY CONTROL; LINEAR-SYSTEMS; SURE STABILITY; STABILIZATION;
D O I：
10.1007/s12555-013-0397-x
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the finite-time control problem is investigated for a class of discrete-time Markovian jump systems (MJLSs) with deterministic switching and time-delay. The considered systems are subject to a piecewise-constant transition probability (TP) matrix, which leads to both the deterministic switches and stochastic jumps. First, the stochastic finite-time boundedness (SFTB) and l(2) gain analysis for the systems are studied by employing the average dwell time (ADT) approach. Note that a finite-time weighted l(2) gain is obtained to measure the disturbance attenuation level. Then, the mode-dependent and variation-dependent controller is designed such that the resulting closed-loop systems are stochastically finite-time bounded and have a guaranteed disturbance attenuation level. Finally, a numerical example is given to verify the potential of the developed results.
引用
收藏
页码：473 / 485
页数：13
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