H∞ OPTIMAL STABILIZATION OF A CLASS OF UNCERTAIN IMPULSIVE SYSTEMS: AN LMI APPROACH

被引：12

作者：

Xu, Honglei ^{[1
,2
]}

Teo, Kok Lay ^{[1
]}

机构：

[1] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia

[2] Guizhou Univ, Dept Math, Guiyang 550025, Peoples R China

来源：

JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2009年 / 5卷 / 01期

关键词：

H-infinity control; robust optimal control; impulsive systems; SWITCHED SYSTEMS;

D O I：

10.3934/jimo.2009.5.153

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper studies H-infinity optimal control problems for a class of impulsive dynamical systems with norm-bounded time-varying uncertainty. By using a linear matrix inequality approach, some sufficient conditions are established to ensure both internally asymptotical stability and H-infinity optimal performance of the impulsive closed-loop system. Moreover, based on the stability criteria, a linear time-invariant stabilizing control law is designed. Finally, a numerical example is presented to illustrate the effectiveness of our results.

引用

页码：153 / 159

页数：7

共 50 条

[21] Robust stabilization for a class of nonlinear singular systems with uncertainty: A LMI approach
School of Automation, NUST, Nanjing 210094, China
不详
不详
Nanjing Li Gong Daxue Xuebao, 2007, 3 (274-277):
[22] OPTIMAL TYPE-2 FUZZY ADAPTIVE CONTROL FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS USING AN LMI APPROACH
El Ougli, Abdelghani
Tidhaf, Belkassem
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2015, 11 (03): : 851 - 863
[23] H∞ filter for uncertain Markovian jump nonlinear systems:: An LMI approach
Nguang, Sing Kiong
Assawinchaichote, Wudhichai
Shi, Peng
CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2007, 26 (06) : 853 - 874
[24] An LMI approach to the H∞ filter design for uncertain systems with distributed delays
Xu, SY
Chen, TW
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2004, 51 (04) : 195 - 201
[25] Stabilization of a Class of Uncertain Systems
Zakharenkov M.S.
Vestnik St. Petersburg University, Mathematics, 2018, 51 (1) : 36 - 41
[26] Dynamical robust H∞ filtering for nonlinear uncertain systems: An LMI approach
Abbaszadeh, Masoud
Marquez, Horacio J.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07): : 1227 - 1241
[27] ADAPTIVE FUZZY CONTROL FOR A CLASS OF UNCERTAIN NONLINEAR SYSTEMS VIA LMI APPROACH
Han, Hugang
INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2010, 6 (01): : 275 - 285
[28] Two Sets of Switching Surfaces for a Class of Mismatched Uncertain Systems: an LMI approach
Tsai, Yao-Wen
Viet Anh Duong
Van Duc Phan
PROCEEDINGS OF 2016 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND ROBOTICS ENGINEERING, 2016, : 6 - 10
[29] Simultaneous guaranteed cost control for a class of linear uncertain systems: An LMI approach
Wang De-Jin
2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 1928 - 1930
[30] EXPONENTIAL STABILITY AND H∞ PERFORMANCE FOR A CLASS OF UNCERTAIN IMPULSIVE STOCHASTIC SYSTEMS
Li, Ya-Jun
Deng, Fe-Qi
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS, VOLS 1-6, 2009, : 3667 - 3672

← 1 2 3 4 5 →