COMPARISON PRINCIPLE, POSITIVE INVARIANCE AND CONSTRAINED REGULATION OF NONLINEAR-SYSTEMS

被引：38

作者：

BITSORIS, G ^{[1
]}

GRAVALOU, E ^{[1
]}

机构：

[1] UNIV POLITECN CATALUNYA,ETSEIT,REGULACIO AUTOMAT LAB,E-08222 TERRASSA,SPAIN

来源：

AUTOMATICA | 1995年 / 31卷 / 02期

关键词：

COMPARISON PRINCIPLE; CONSTRAINT THEORY; DISCRETE-TIME SYSTEMS; INVARIANCE; NONLINEAR SYSTEMS; STABILITY; STATE FEEDBACK;

D O I：

10.1016/0005-1098(94)E0044-I

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper the comparison principle is applied to the design of feedback controllers for nonlinear discrete-time systems subject to physical constraints. First, the connection between the comparison principle and the existence of positively invariant sets of a special form is established and polyhedral positively invariant sets for nonlinear systems are obtained. Then these results are applied to the determination of state feedback control laws that transfer to the origin all initial states of a prespecified region of the state-space without violation of physical constraints on the control vector.

引用

页码：217 / 222

页数：6

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