GUARANTEED ASYMPTOTIC STABILITY FOR SOME LINEAR-SYSTEMS WITH BOUNDED UNCERTAINTIES

被引：182
作者：
LEITMANN, G
机构：
[1] Department of Mechanical Engineering, University of California, Berkeley, CA
来源：
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 1979年 / 101卷 / 03期
关键词：
D O I：
10.1115/1.3426427
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 a class of linear dynamical systems in which the system and input matrices, as well as the input, are uncertain. The nominal system is time-invariant, while the uncertainties are assumed to be measurable functions of time whose values may range in given compact sets. Utilizing solely the knowledge of the sets from which uncertain quantities take their values, we derive a state feedback controller that guarantees global uniform asymptotic (Lyapunov) stability of the zero state in the presence of admissible uncertainties. The controller is nonlinear, namely componentwise switching; however, its construction requires only the solution of a linear matrix equation. Unlike linear feedback, this nonlinear controller assures asymptotic stability for any admissible realization of the system; this is illustrated by means of a simple example. © 1979 ASME.
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页码：212 / 216
页数：5
相关论文
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