Output control of continuous-time uncertain switched linear systems via switched static output feedback

被引：13

作者：

Carniato, Leonardo Ataide ^{[1
,2
]}

Carniato, Alexandre Ataide ^{[1
]}

Teixeira, Marcelo Carvalho Minhoto ^{[2
]}

Cardim, Rodrigo ^{[2
]}

Mainardi Junior, Edson Italo ^{[3
]}

Assuncao, Edvaldo ^{[2
]}

机构：

[1] Fed Inst Sao Paulo, Campus Presidente Epitacio, Presidente Epitacio, Brazil

[2] Sao Paulo State Univ UNESP, Sch Nat Sci & Engn, Ave Jose Carlos Rossi 1370, BR-15385000 Ilha Solteira, SP, Brazil

[3] Fed Inst Mato Grosso Sul, Campus Tres Lagoas, Tres Lagoas, Brazil

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2020年 / 93卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Robust output switching strategy; switched static output feedback; robust control; linear matrix inequalities; robust static output feedback H-infinity control; H-INFINITY CONTROL; SLIDING-MODE CONTROL; STABILITY ANALYSIS; DIFFERENTIAL EVOLUTION; CONTROL DESIGN; STABILIZABILITY; OPTIMIZATION;

D O I：

10.1080/00207179.2018.1495341

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 is devoted to the robust H-infinity and guaranteed cost control problems for continuous-time switched linear systems with polytopic uncertainties, considering an output-dependent switching law and a switched static output feedback controller. The proposed method offers new sufficient conditions based on Linear Matrix Inequalities (LMIs) for designing the switching strategy. In order to provide extra free dimensions in the solution space, some conditions become a special class of Bilinear Matrix Inequalities (BMIs). Therefore, the hybrid algorithm Differential Evolution-Linear Matrix Inequality is proposed for obtaining feasible solutions of this NP-hard problem. Theoretical analyses and numerical examples show that these new procedures reduce the design conservatism of two recent known methods for solving the presented control problems. Besides, a practical application of the method in the design and simulation of a robust switched controller of a switched semi-active suspension is performed.

引用

页码：1127 / 1146

页数：20

共 43 条

[1] Static output feedback control of polytopic systems using polynomial Lyapunov functions [J].

Agulhari, Cristiano M. ;

Oliveira, Ricardo C. L. F. ;

Peres, Pedro L. D. .

49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, :6894-6901

[2]

[Anonymous], 1994, Studies in applied mathematics

[3]

[Anonymous], 2014, Differential Evolution: A Practical Approach to Global Optimization

[4]

[Anonymous], 2003, Switching in Systems and Control

[5] Robust H∞ finite-time control for discrete-time polytopic uncertain switched linear systems [J].

Ban, Jaepil ;

Kwon, Wookyong ;

Won, Sangchul ;

Kim, Sangwoo .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2018, 29 :348-362

[6] Robust switched control based on strictly positive real systems and variable structure control techniques [J].

Cardim, Rodrigo ;

Teixeira, Marcelo C. M. ;

Assuncao, Edvaldo ;

Ribeiro, Jean M. S. ;

Covacic, Mrcio R. ;

Gaino, Ruberlei .

INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2016, 30 (8-10) :1244-1268

[7] Variable-Structure Control Design of Switched Systems With an Application to a DC-DC Power Converter [J].

Cardim, Rodrigo ;

Teixeira, Marcelo C. M. ;

Assuncao, Edvaldo ;

Covacic, Marcio Roberto .

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, 2009, 56 (09) :3505-3513

[8] Robust static output feedback H∞ control design for linear systems with polytopic uncertainties [J].

Chang, Xiao-Heng ;

Park, Ju H. ;

Zhou, Jianping .

SYSTEMS & CONTROL LETTERS, 2015, 85 :23-32

[9] Sufficient LMI conditions for output feedback control problems [J].

Crusius, CAR ;

Trofino, A .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (05) :1053-1057

[10] Stability analysis and control synthesis for switched systems: A switched Lyapunov function approach [J].

Daafouz, J ;

Riedinger, P ;

Iung, C .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) :1883-1887

← 1 2 3 4 5 →