Switched state feedback for uncertain continuous-time systems with interval delays

被引:6
作者
Mahmoud, Magdi S. [1 ]
Xia, Yuanqing [2 ]
机构
[1] King Fahd Univ Petr & Minerals, Dept Syst Engn, Dhahran 31261, Saudi Arabia
[2] Beijing Inst Technol, Dept Automat Control, Beijing 100081, Peoples R China
关键词
continuous time-delay systems; interval time delays; switched state feedback; linear fractional uncertainty; LMIs; LINEAR-SYSTEMS; LYAPUNOV FUNCTIONS; HYBRID SYSTEMS; DISCRETE-TIME; STABILITY; STABILIZABILITY; STABILIZATION;
D O I
10.1002/rnc.1645
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The objective of this paper is to design a switched robust control for a class of continuous-time systems subject to linear fractional uncertainty and interval time delays. The controller is based on state feedback and the LMI-based stability conditions are derived using an improved Lyapunov-Krasovskii functional. Moreover, the switching rule as well as the state feedback gains are determined from the minimization of a guaranteed cost function. The theoretical results are illustrated with a numerical example. Copyright (C) 2010 John Wiley & Sons, Ltd.
引用
收藏
页码:1046 / 1056
页数:11
相关论文
共 50 条
[31]   Robust satisfactory fault-tolerant control of continuous-time interval systems with time-varying state and input delays [J].
Zhang, Dengfeng ;
Lu, Baochun ;
Wang, Hong ;
Wang, Zhiquan .
OPTIMAL CONTROL APPLICATIONS & METHODS, 2012, 33 (05) :531-551
[32]   Simultaneous Fault Detection and Control for Continuous-Time Switched Takagi-Sugeno Fuzzy Systems With State Jumps [J].
Ladel, Ayyoub Ait ;
Benzaouia, Abdellah ;
Outbib, Rachid ;
Ouladsine, Mustapha .
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2021, 143 (08)
[33]   Positivity of Continuous-Time Descriptor Systems With Time Delays [J].
Zhang, Youmei ;
Zhang, Qingling ;
Tanaka, Tamaki ;
Yan, Xing-Gang .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (11) :3093-3097
[34]   New Extended LMI Characterization for State Feedback Control of Continuous-Time Uncertain Linear Systems [J].
Rodrigues, Luis A. ;
Oliveira, Ricardo C. L. F. ;
Camino, Juan F. .
2015 EUROPEAN CONTROL CONFERENCE (ECC), 2015, :1992-1997
[35]   H∞ and Dwell Time Specifications of Continuous-Time Switched Linear Systems [J].
Geromel, Jose C. ;
Colaneri, Patrizio .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (01) :207-212
[36]   Stabilization of continuous-time switched nonlinear systems [J].
Colaneri, Patrizio ;
Geromel, Jose C. ;
Astolfi, Alessandro .
SYSTEMS & CONTROL LETTERS, 2008, 57 (01) :95-103
[37]   On the stabilizability of continuous-time compartmental switched systems [J].
Valcher, Maria Elena ;
Zorzan, Irene .
2015 54TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2015, :4246-4251
[38]   Robust Switching Design for Continuous-time Switched Linear Systems [J].
Sun, Zhendong .
PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, :258-263
[39]   Chattering free control of continuous-time switched linear systems [J].
Deaecto, Grace Silva ;
Souza, Matheus ;
Geromel, Jose C. .
IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (05) :348-354
[40]   Interconnected continuous-time switched systems: Robust stability and stabilization [J].
Mahmoud, Magdi S. ;
Al-Sunni, Fouad M. .
NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (03) :531-542