QUADRATIC STABILIZABILITY OF UNCERTAIN LINEAR SYSTEMS: EXISTENCE OF A NONLINEAR STABILIZING CONTROL DOES NOT IMPLY EXISTENCE OF A LINEAR STABILIZING CONTROL.

被引：27

作者：

Petersen, Ian R. ^{[1
]}

机构：

[1] Univ of Rochester, Dep of Electrical, Engineering, Rochester, NY, USA, Univ of Rochester, Dep of Electrical Engineering, Rochester, NY, USA

来源：

IEEE Transactions on Automatic Control | 1985年 / AC-30卷 / 03期

关键词：

CONTROL SYSTEMS; NONLINEAR - SYSTEM STABILITY;

D O I：

10.1109/TAC.1985.1103933

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 study is concerned with the problem of stabilizing an uncertain linear system via state feedback control. An uncertain system which admits a stabilizing state feedback control and some associated quadratic Lyapunov function is said to be quadratically stabilizable. In a number of recent papers, conditions are given under which quadratic stabilizability via nonlinear control implies quadratic stabilizability via linear control. These papers restrict the manner in which the uncertain parameters are permitted to enter structurally into the state equation in order to establish this result. This study presents an example which shows that this implication is not true for more general uncertain linear systems. To this end, we describe an uncertain linear system which is quadratically stabilizable via nonlinear control but not quadratically stabilizable via linear control.

引用

页码：291 / 293