ROBUST H-INFINITY CONTROL FOR LINEAR TIME-INVARIANT SYSTEMS WITH NORM-BOUNDED UNCERTAINTY IN THE INPUT MATRIX

被引：56
作者：
XIE, L [1 ]
DESOUZA, CE [1 ]
机构：
[1] UNIV NEWCASTLE,DEPT ELECT ENGN & COMP SCI,NEWCASTLE,NSW 2308,AUSTRALIA
来源：
SYSTEMS & CONTROL LETTERS | 1990年 / 14卷 / 05期
关键词：
H[!sub]∞[!/sub] optimal control; quadratic stabilization; state feedback; Riccati equations; uncertain systems;
D O I：
10.1016/0167-6911(90)90088-C
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 focuses on the problem of robust H∞ control design for a class of linear time-invariant systems with uncertainty in the state space model. We consider uncertain systems with norm-bounded parameter uncertainty in the input matrix. The paper presents a state feedback control design which stabilizes the plant for all admissible uncertainties and also guarantees an H∞-norm bound constraint on disturbance attenuation. Paralleling to the theory of robust control, the robust H∞ control problem is solved via the notion of 'quadratic stabilization with an H∞-norm bound constraint'. Necessary and sufficient conditions for quadratic stabilization with an H∞-norm bound are derived. It is shown that the solution to this problem involves solving a parameter-dependent algebraic Riccati equation. The results can be regarded as extensions of existing results on robust stabilization of linear uncertain systems and H∞ optimal control. © 1990.
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页码：389 / 396
页数：8
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