Local and Global Stabilization of Switched Linear Systems With Actuator Saturation

被引：3
|
作者：
Hou, Tan [1 ,2 ,3 ]
Li, Yuanlong [1 ,2 ,3 ]
Lin, Zongli [4 ]
机构：
[1] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China
[2] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China
[3] Shanghai Engn Res Ctr Intelligent Control & Manage, Shanghai 200240, Peoples R China
[4] Univ Virginia, Charles L Brown Dept Elect & Comp Engn, Charlottesville, VA 22904 USA
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Actuator saturation; composite Lyapunov function; domain of attraction (DOA); min-projection switching strategy; switched systems; sliding mode; FRAMEWORK; STABILITY;
D O I：
10.1109/TAC.2022.3149874
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Utilizing the min-composite Lyapunov function and the min-projection switching strategy, we solve the local and global stabilization problems for switched linear systems by saturated, not necessarily stabilizing individually, linear feedback laws. Sufficient conditions are derived in the form of matrix inequalities under which the closed-loop system is locally asymptotically stable with an estimate of the domain of attraction or is globally asymptotically stable. The derived conditions are shown to be less conservative than the existing ones and, when used to guide the design of feedback laws, enable local stabilization with a larger estimate of the domain of attraction or global stabilization for a larger class of systems. Numerical examples illustrate the theoretical conclusions.
引用
收藏
页码：1192 / 1199
页数：8
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