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

页码：15 / 21

页数：7

共 50 条

[1] LMI-based algorithm for strictly positive real systems with static output feedback
Covacic, M. R.
Teixeira, M. C. M.
Assuncao, E.
Gaino, R.
[J]. SYSTEMS & CONTROL LETTERS, 2012, 61 (04) : 521 - 527
[2] An LMI-based algorithm for static output-feedback stabilization of continuous-time positive polytopic linear systems
Lemaire, Alvaro A.
Spagolla, Amanda
Morais, Cecilia F.
Oliveira, Ricardo C. L. F.
Peres, Pedro L. D.
[J]. IFAC PAPERSONLINE, 2020, 53 (02): : 4559 - 4564
[3] Static Output-Feedback Stabilization for MIMO LTI Positive Systems using LMI-based Iterative Algorithms
Bhattacharyya, Sabyasachi
Patra, Sourav
[J]. IEEE CONTROL SYSTEMS LETTERS, 2018, 2 (02): : 242 - 247
[4] A non-iterative LMI-based algorithm for robust static-output-feedback stabilization
Benton, RE
Smith, D
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1999, 72 (14) : 1322 - 1330
[5] LMI-based output feedback control of networked control systems
Jung, EH
Lee, HH
Suh, YS
[J]. WFCS 2004: IEEE INTERNATIONAL WORKSHOP ON FACTORY COMMUNICATION SYSTEMS, PROCEEDINGS, 2004, : 311 - 314
[6] An LMI-based algorithm for designing suboptimal static H2/H∞ output feedback controllers
Leibfritz, F
[J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2001, 39 (06) : 1711 - 1735
[7] Dynamic Output Feedback Controller Synthesis using an LMI-based α- Strictly Negative Imaginary Framework
Kurawa, Suleiman
Bhowmick, Parijat
Lanzon, Alexander
[J]. 2019 27TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2019, : 81 - 86
[8] LMI-based iterative synthesis of strictly positive real H2 controllers
Shimomura, T
Yamasaki, Y
Fujii, T
[J]. PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 332 - 336
[9] LMI Characterizations of Positive Realness and Static Output Feedback Positive Real Control of Discrete-time Systems
Du, Xin
Yang, Guang-Hong
[J]. 2009 AMERICAN CONTROL CONFERENCE, VOLS 1-9, 2009, : 5132 - 5137
[10] Optimal output feedback control for linear uncertain systems using LMI-Based approach and genetic algorithm
Chen, Shinn-Horng
Ho, Wen-Hsien
Chou, Jyh-Horng
[J]. 2006 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-6, PROCEEDINGS, 2006, : 4136 - +

← 1 2 3 4 5 →