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Generalized output feedback controller design for uncertain discrete-time switched systems via switched Lyapunov functions

✍ Scribed by Dongsheng Du; Shaosheng Zhou; Baoyong Zhang


Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
326 KB
Volume
65
Category
Article
ISSN
0362-546X

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✦ Synopsis


This paper investigates the generalized H 2 control problem for a class of discrete-time switched systems with uncertainties. The uncertain system is modelled as a polytopic type with linear fractional uncertainty in the vertices. By using switched Lyapunov functions, new linear matrix inequalities (LMIs) characterizing the generalized H 2 performance for discrete-time switched systems are obtained. Based on the result, a generalized H 2 output feedback controller is developed for uncertain discrete-time switched systems. A numerical example is included to demonstrate the effectiveness of the proposed result.