H∞ and Dwell Time Specifications of Continuous-Time Switched Linear Systems

被引：60

作者：

Geromel, Jose C. ^{[1
]}

Colaneri, Patrizio ^{[2
]}

机构：

[1] Univ Estadual Campinas, Sch Elect & Comp Engn, DSCE, BR-3083970 Campinas, SP, Brazil

[2] Politecn Milan, Dipartimento Elettron & Informaz, I-20133 Milan, Italy

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 01期

关键词：

Linear matrix inequalities (LMI); root mean square gain (RMS); MEAN-SQUARE GAINS; LYAPUNOV FUNCTIONS; STABILITY; STABILIZATION; EQUATIONS;

D O I：

10.1109/TAC.2009.2033861

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 technical note deals with continuous-time switched linear systems and addresses the problem of characterizing open-loop switching strategies, based on dwell time specifications, assuring a pre-specified root mean square gain (RMS). As a natural consequence of treating general systems of this particular class in terms of order and number of subsystems, only sufficient conditions are worked out. However, as positive features, they are expressed through linear matrix inequalities (LMI) being thus numerically solvable in polynomial time and allow the treatment of stable switched linear systems which do not admit a common Lyapunov function. The conservativeness of the proposed design method is evaluated by comparison with other results available in the literature by means of two simple illustrative examples.

引用

页码：207 / 212

页数：6

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