Constrained Switched Systems: Stability and Performance

被引：0

作者：

Souza, Matheus ^{[1
,3
]}

Fioravanti, Andre R. ^{[2
]}

Shorten, Robert N. ^{[1
,4
]}

机构：

[1] Natl Univ Ireland Maynooth, Hamilton Inst, Maynooth, Kildare, Ireland

[2] Univ Estadual Campinas, Sch Mech Engn, Campinas, SP, Brazil

[3] Univ Estadual Campinas, Sch Elect & Comp Engn, Campinas, SP, Brazil

[4] IBM Res Ireland, Dublin, Ireland

来源：

2015 EUROPEAN CONTROL CONFERENCE (ECC) | 2015年

关键词：

Switched systems; linear systems; LMI; LYAPUNOV FUNCTIONS; SEQUENCES;

D O I：

暂无

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 analyses discrete-time switched systems in which a control engineer designs each mode so that performance guarantees are met. Given this setting, our objective is then to identify the set of mode transitions so that stability is guaranteed under arbitrary switching. Namely, our specific objective is to identify the stability graph associated with a given switching system. These systems are important for multi-controller architectures in many practical applications. Specifically, we develop convex conditions that ensure asymptotic stability and guaranteed quadratic performance for constrained switched systems. Then, a greedy algorithm based on the graph associated with the switched system is designed in order to determine a set of switching functions for which stability is guaranteed. We then further restrict the graph so that performance metrics are met. Simulations are given to illustrate the efficacy of the procedures.

引用

页码：2884 / 2889

页数：6

共 16 条

[1]

Boyd S, 1994, LINEAR MATRIX INEQUA, V15

[2]

Boyd S.P, 2004, Convex optimization, DOI [DOI 10.1017/CBO9780511804441, 10.1017/CBO9780511804441]

[3] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems [J].

Branicky, MS .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) :475-482

[4]

Cormen TH., 2009, Introduction to Algorithms, V3

[5]

Costa OLV, 2005, DISCRETE TIME MARKOV

[6] Parameter dependent Lyapunov functions for discrete time systems with time varying parametric uncertainties [J].

Daafouz, J ;

Bernussou, J .

SYSTEMS & CONTROL LETTERS, 2001, 43 (05) :355-359

[7] 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

[8] A Gel'fand-type spectral-radius formula and stability of linear constrained switching systems [J].

Dai, Xiongping .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (05) :1099-1113

[9] Trajectory-dependent filter design for discrete-time switched linear systems [J].

Deaecto, G. S. ;

Geromel, J. C. ;

Daafouz, J. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2010, 4 (01) :1-8

[10] Stability and stabilization of discrete time switched systems [J].

Geromel, JC ;

Colaneri, P .

INTERNATIONAL JOURNAL OF CONTROL, 2006, 79 (07) :719-728

← 1 2 →