Dissipative control for linear discrete-time systems

被引：115

作者：

Tan, ZQ ^{[1
]}

Soh, YC ^{[1
]}

Xie, LH ^{[1
]}

机构：

[1] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

来源：

AUTOMATICA | 1999年 / 35卷 / 09期

关键词：

dissipative; quadratic dissipative control; discrete-time systems; linear matrix inequality;

D O I：

10.1016/S0005-1098(99)00069-2

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 paper focuses on the problem of quadratic dissipative control for linear discrete-time systems. We consider the design of feedback controllers to achieve asymptotic stability and strict quadratic dissipativeness. Both the linear static state feedback and the dynamic output feedback controllers are considered. Necessary and sufficient conditions for the solutions of the quadratic dissipative control problems are obtained using the linear matrix inequality (LMI) approach. The main result of this paper unifies existing results on H(infinity) and positive real control and it provides a more flexible and less conservative control design as it allows for a better trade-off between phase and gain performances. (C) 1999 Elsevier Science Ltd. All rights reserved.

引用

页码：1557 / 1564

页数：8

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