Perspectives and results on the stability and stabilizability of hybrid systems

被引:1250
作者
DeCarlo, RA [1 ]
Branicky, MS
Pettersson, S
Lennartson, B
机构
[1] Purdue Univ, Dept Elect Engn, W Lafayette, IN 47907 USA
[2] Case Western Reserve Univ, Dept Elect Engn & Comp Sci, Cleveland, OH 44106 USA
[3] Chalmers, Control & Automat Lab, S-41296 Gothenburg, Sweden
关键词
hybrid systems; linear matrix inequalities; stability; stabilizability; switched systems;
D O I
10.1109/5.871309
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper introduces the concept of a hybrid system and some of the challenges associated with the stability of such systems, including the issues of guaranteeing stability of switched stable systems and finding conditions for the existence of switched controllers for stabilizing switched unstable systems. In this endeavor, this paper surveys the major results in the (Lyapunov) stability of finite-dimensional hybrid systems and then discusses the stronger, more specialized results of switched linear (stable and unstable) systems. A section detailing how some of the results can be formulated as linear matrix inequalities is given. Stability analyses on the regulation of the angle of attack of an aircraft and on the PI control of a vehicle with an automatic transmission are given. Other examples are included to illustrate various results in this paper.
引用
收藏
页码:1069 / 1082
页数:14
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