Finite-time H∞ control for linear systems with semi-Markovian switching

被引：0

作者：

Liu, Xinghua ^{[1
,2
]}

Yu, Xinghuo ^{[3
]}

Zhou, Xiaojun ^{[4
]}

Xi, Hongsheng ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Informat Sci & Technol, Dept Auto, Hefei 230027, Anhui, Peoples R China

[2] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore, Singapore

[3] RMIT Univ, Platform Technol Res Inst, Melbourne, Vic 3001, Australia

[4] Cent S Univ, Sch Informat Sci & Engn, Changsha 410083, Hunan, Peoples R China

来源：

NONLINEAR DYNAMICS | 2016年 / 85卷 / 04期

基金：

中国博士后科学基金;

关键词：

Semi-Markovian switching system; Finite-time bounded; Finite-time H-infinity stabilization; Feedback controller; SLIDING-MODE CONTROL; STOCHASTIC STABILITY; DELAY SYSTEMS; JUMP SYSTEMS; NETWORKS; SUBJECT;

D O I：

10.1007/s11071-016-2829-7

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Finite-time control problem is a fascinating and hot issue in the field of control science. This paper presents a novel framework for finite-time stabilization of semi-Markovian switching system. By employing Lyapunov-Krasovskii functional and matrix inequality techniques, together with properties of semi-Markovian process, sufficient conditions are proposed to guarantee finite-time boundedness, finite-time boundedness and finite-time state feedback stabilization for semi-Markovian switching system. At the same time, a state feedback controller is provided to ensure that the proposed closed-loop system is finite-time stabilization. Finally, a numerical example and simulations are given to show the correctness and effectiveness of the proposed results.

引用

页码：2297 / 2308

页数：12

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