A CONNECTION BETWEEN H-INFINITY CONTROL AND THE ABSOLUTE STABILIZABILITY OF DISCRETE-TIME UNCERTAIN LINEAR-SYSTEMS

被引：11
|
作者：
MOHEIMANI, SOR
SAVKIN, AV
PETERSEN, IR
机构：
[1] AUSTRALIAN DEF FORCE ACAD,DEPT ELECT ENGN,CAMPBELL,QLD 2600,AUSTRALIA
[2] UNIV MELBOURNE,DEPT ELECT & ELECTR ENGN,PARKVILLE,VIC 3052,AUSTRALIA
[3] UNIV MELBOURNE,COOPERAT RES CTR SENSOR SIGNAL & INFORMAT PROC,PARKVILLE,VIC 3052,AUSTRALIA
来源：
AUTOMATICA | 1995年 / 31卷 / 08期
关键词：
UNCERTAIN SYSTEMS; ROBUST CONTROL; H-INFINITY CONTROL; ABSOLUTE STABILITY;
D O I：
10.1016/0005-1098(95)00029-V
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the problem of stabilizing a class of uncertain discrete-time systems in which the uncertainty satisfies a certain sum constraint. We consider a notion of absolute stabilizability for discrete-time systems and show that a necessary and sufficient condition for a discrete-time uncertain system to be absolutely stabilizable is existence of a solution to a corresponding discrete-time H-infinity control problem. We also show that if it is possible to stabilize an uncertain system via nonlinear output feedback control then it is possible to absolutely stabilize it via linear output feedback control.
引用
收藏
页码：1193 / 1195
页数：3
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