Local stabilization of linear systems under amplitude and rate saturating actuators

被引：66

作者：

da Silva, JMG ^{[1
]}

Tarbouriech, S

Garcia, G

机构：

[1] Univ Fed Rio Grande do Sul, Dept Elect Engn, BR-90035190 Porto Alegre, RS, Brazil

[2] CNRS, LAAS, F-31077 Toulouse 4, France

[3] INSA, Toulouse, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2003年 / 48卷 / 05期

关键词：

constrained control; control saturation; linear matrix inequality (LMI); stabilization;

D O I：

10.1109/TAC.2003.811265

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 note addresses the problem of local stabilization of linear systems subject to control amplitude and rate saturation. Considering the actuator represented by a first-order system subject to input and state saturation, a condition for the stabilization of an a priori given set of admissible initial states is formulated from certain saturation nonlinearities representation and quadratic stability results. From this condition, an algorithm based on the iterative solution of linear matrix inequalities-based problems is proposed in order to compute the control law.

引用

页码：842 / 847

页数：6

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