Finite-Time Stabilization of Stochastic Systems With Partially Known Transition Probabilities

被引：17

作者：

Luan, Xiao-li ^{[1
]}

Liu, Fei ^{[1
]}

Shi, Peng ^{[2
,3
,4
]}

机构：

[1] Jiangnan Univ, Inst Automat, Minist Educ, Key Lab Adv Control Light Ind Proc, Wuxi 21422, Peoples R China

[2] Victoria Univ, Sch Sci & Engn, Melbourne, Vic 8001, Australia

[3] Univ Glamorgan, Dept Comp & Math Sci, Pontypridd CF37 1DL, M Glam, Wales

[4] Univ S Australia, Sch Math & Stat, Mawson Lakes 5095, Australia

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2011年 / 133卷 / 01期

基金：

中国国家自然科学基金; 英国工程与自然科学研究理事会;

关键词：

Markovian jump systems; finite-time boundedness; finite-time stabilization; transition probabilities; JUMP LINEAR-SYSTEMS; OUTPUT-FEEDBACK;

D O I：

10.1115/1.4002716

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 problem of finite-time stabilization for a class of uncertain Markov jump systems with partially known transition probabilities is investigated. The main aim of this paper is to derive the finite-time stabilization criteria for the underlying systems when the transition probabilities are partially known and to design a state feedback stabilizing controller such that the trajectories of the system stay within a given bound in a fixed time interval. Sufficient conditions for the existence of the desired controller are established with the linear matrix inequalities framework. A numerical example is used to illustrate the effectiveness of the developed theoretic results. [DOI:10.1115/1.4002716]

引用

页数：6

共 21 条

[1] Finite-time stabilization via dynamic output feedback [J].