Quadratic stabilization of a collection of linear systems

被引：9
|
作者：
Kar, IN [1 ]
机构：
[1] Indian Inst Technol, Dept Elect Engn, New Delhi 110016, India
来源：
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE | 2002年 / 33卷 / 02期
关键词：
D O I：
10.1080/00207720110091721
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 paper considers the problem of simultaneous quadratic (SQ) stablizability of a finite collection linear time-invariant (LTI) system by a static state feedback controller. At first, the solvability conditions for SQ stablization are derived in terms of the solution of certain reduced order matrix inequalities. The existence conditions for the solution of such matrix inequalities are then investigated. Based on that, two new classes of systems are characterized for which a SQ stabilization problem is solvable. These class of systems are (1) partially commutative systems and (2) partially normal systems. These systems are shown to be different from matched uncertain systems and also do not possess any generalised antisymmetric configurations. Both existence and computational algorithm for designing a state feedback controller are given.
引用
收藏
页码：153 / 160
页数：8
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