THE SINGULAR H-INFINITY CONTROL PROBLEM WITH DYNAMIC MEASUREMENT FEEDBACK

被引:46
|
作者
STOORVOGEL, AA
机构
[1] Eindhoven Univ of Technology, Eindhoven
关键词
QUADRATIC MATRIX INEQUALITY; RICCATI EQUATION; ALMOST DISTURBANCE DECOUPLING; MEASUREMENT FEEDBACK; INTERNAL STABILITY;
D O I
10.1137/0329009
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper is concerned with the H infinity problem with measurement feedback. The problem is to find a dynamic feedback from the measured output to the control input such that the closed-loop system has an H infinity norm strictly less than some a priori given bound gamma and such that the closed-loop system is internally stable. Necessary and sufficient conditions are given under which such a feedback exists. The only assumption that must be made is that there are no invariant zeros on the imaginary axis for two subsystems. Contrary to recent publications no assumptions are made on the direct feedthrough matrices of the plant. It turns out that this problem can be reduced to an almost disturbance decoupling problem with measurement feedback and internal stability, i.e., the problem in which we can make the H infinity norm arbitrarily small.
引用
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页码:160 / 184
页数:25
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