Stabilization for a class of Piecewise Continuous-Time Switched Control Systems

被引：3

作者：

Zong, Guangdeng ^{[1
]}

Tian, Yanwen ^{[2
]}

Sun, Haibin ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu Prov, Peoples R China

[2] Qufu Normal Univ, Inst Automat, Qufu, Shandong, Peoples R China

来源：

2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23 | 2008年

基金：

中国博士后科学基金;

关键词：

Piecewise liner systems; switched systems; affine nonlinear systems; exponential stabilization; LMIs;

D O I：

10.1109/WCICA.2008.4594042

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Piecewise systems arise in many kinds of practical control systems due to the existence of certain effects, such as dead-zone, saturation, relays and hysteresis. This paper deals with the problem of exponential stabilization for a class of piecewise continuous-time switched control systems with nonlinear uncertainties, which are equivalent to the general form of piecewise switched affine nonlinear systems under the concept of linearization. Our approach hinges on the use of piecewise quadratic switched Lyapunov functions (PQSLFs). A stabilizing switching rule is presented when the corresponding PQSLFs exist. Conditions for exponential stabilization are presented in terms of linear matrix inequalities (LMIs). A robustly stabilizing state feedback controller can be constructed by using the feasible solution of the LMIs.

引用

页码：7226 / +

页数：2

共 50 条

[31] Delay-dependent stabilization for continuous-time piecewise time-delay systems
Song, Xinmin
Zhou, Shaosheng
Zheng, Wei Xing
[J]. WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 578 - +
[32] Stabilization of a class of continuous-time singular Markov jump systems
Chang, Hua
Fang, Yang-Wang
Lou, Shun-Tian
Chen, Jia
[J]. Kongzhi yu Juece/Control and Decision, 2012, 27 (05): : 641 - 645
[33] Asymptotic stabilization of a class of continuous-time linear periodic systems
Tornambe, A
Valigi, P
[J]. SYSTEMS & CONTROL LETTERS, 1996, 28 (04) : 189 - 196
[34] Stabilization and H∞ control of continuous-time symmetric systems
Tan, K
Grigoriadis, KM
[J]. PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 3453 - 3458
[35] Stability Results of a Class of Hybrid Systems under Switched Continuous-Time and Discrete-Time Control
De la Sen, M.
Ibeas, A.
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
[36] Dwell-time Control of Continuous-Time Switched Linear Systems
Souza, Matheus
Fioravanti, Andre R.
Shorten, Robert N.
[J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 4661 - 4666
[37] On observer design for a class of continuous-time affine switched or switching systems
Menini, Laura
Possieri, Corrado
Tornambe, Antonio
[J]. 2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2014, : 6234 - 6239
[38] Iterative Learning Control for a Class of Linear Continuous-time Switched Systems with Fixed Initial Shifts
XU GUANG-ZHAO
FU QIN
DU LI-LI
WU JIAN-RONG
YU PENG-FEI
Li Yong
[J]. Communications in Mathematical Research, 2018, 34 (04) : 309 - 328
[39] Chattering free control of continuous-time switched linear systems
Deaecto, Grace Silva
Souza, Matheus
Geromel, Jose C.
[J]. IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (05): : 348 - 354
[40] APPROXIMATE SOLUTION FOR OPTIMAL CONTROL OF CONTINUOUS-TIME SWITCHED SYSTEMS
Sardarmehni, Tohid
Heydari, Ali
[J]. PROCEEDINGS OF THE ASME 9TH ANNUAL DYNAMIC SYSTEMS AND CONTROL CONFERENCE, 2016, VOL 1, 2017,

← 1 2 3 4 5 →