FAST SWITCHING ANALYSIS OF LINEAR SWITCHED SYSTEMS USING EXPONENTIAL SPLITTING

被引：27

作者：

Porfiri, M. ^{[1
]}

Roberson, D. G. ^{[2
]}

Stilwell, D. J. ^{[2
]}

机构：

[1] Polytech Univ, Dept Mech & Aerosp Engn, Brooklyn, NY 11201 USA

[2] Virginia Polytech Inst & State Univ, Bradley Dept Elect & Comp Engn, Blacksburg, VA 24061 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2008年 / 47卷 / 05期

基金：

美国国家科学基金会;

关键词：

averaging method; exponential splitting; fast switching; stability; switched systems; linear systems;

D O I：

10.1137/060665750

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Stability of periodic switched linear systems with fast switching patterns is studied by combining the method of averaging with exponential splitting. This approach yields less conservative bounds on stabilizing fast switching rates than can be obtained with prior approaches. Such bounds can be useful for analysis and design of switching control laws. The method is also generalized to arbitrary ( including nonperiodic nonswitched) time-varying systems. In particular, the effects of time-varying state perturbations on the stability of linear periodic switched systems are analyzed.

引用

页码：2582 / 2597

页数：16

共 20 条

[1]

[Anonymous], IMA J NUMER ANAL

[2]

Brockett R. W., 1970, FINITE DIMENSIONAL L

[3]

Desoer CA., 1975, FEEDBACK SYSTEMS INP

[4]

Dieudonne J., 1960, FDN MODERN ANAL

[5]

EZZINE J, 1989, INT J CONTROL, V49, P2045

[6] ERROR-BOUNDS IN THE AVERAGING OF HYBRID SYSTEMS [J].

EZZINE, J ;

HADDAD, AH .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (11) :1188-1192

[7] Stability analysis of periodically switched linear systems using Floquet theory [J].

Gökçek, C .

MATHEMATICAL PROBLEMS IN ENGINEERING, 2004, (01) :1-10

[8] STABILITY THEORY FOR ADAPTIVE SYSTEMS - METHOD OF AVERAGING AND PERSISTENCY OF EXCITATION [J].

KOSUT, RL ;

ANDERSON, BDO ;

MAREELS, IMY .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1987, 32 (01) :26-34

[9]

Liberzon D., 2003, SYS CON FDN

[10]

McLachlan RI, 2002, ACT NUMERIC, V11, P341, DOI 10.1017/S0962492902000053

← 1 2 →