On LMI-based algorithm for strictly positive real systems with static output feedback

被引：0

作者：

Teixeira, Marcelo C. M. ^{[1
]}

Covacic, Marcio R. ^{[2
]}

Gaino, Ruberlei ^{[2
]}

Assuncao, Edvaldo ^{[1
]}

Cardim, Rodrigo ^{[1
]}

Lazarini, Adalberto Z. N. ^{[1
]}

机构：

[1] Sao Paulo State Univ UNESP, Fac Engn Ilha Solteira, Dept Elect Engn, BR-15385000 Ilha Solteira, Brazil

[2] State Univ Londrina EEL, Dept Elect Engn, BR-86057970 Londrina, Parana, Brazil

来源：

2022 16TH INTERNATIONAL WORKSHOP ON VARIABLE STRUCTURE SYSTEMS (VSS) | 2022年

基金：

巴西圣保罗研究基金会;

关键词：

VARIABLE-STRUCTURE CONTROL; DESIGN;

D O I：

10.1109/VSS57184.2022.9902109

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 presents a new theoretical analyses and a condition regarding to an algorithm, based on Linear Matrix Inequalities (LMIs), for finding a constant output feedback matrix K-o and a constant output tandem matrix F such that the controlled system {A-BKoC,B,FC} is Strictly Positive Real (SPR). The number of output variables of the plant {A, B, C} is supposed to be greater than or equal to the number of its input variables. The main result offers a more general necessary condition to specify the matrix F that can offer a solution for this problem, that works when a known condition holds and also in some cases where this known solution does not hold. A numerical example illustrates the effectiveness of this procedure and its application in the design of output variable structure controllers.

引用

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页码：15 / 21

页数：7

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