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
收藏
页码：7226 / +
页数：2
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