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Discrete-time control design with positive semi-definite Lyapunov functions

✍ Scribed by J.W. Grizzle; Jun-Mo Kang

Book ID
104300378
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
96 KB
Volume
43
Category
Article
ISSN
0167-6911

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✦ Synopsis

A useful stability analysis technique from continuous-time nonlinear systems (Iggidr et al., Systems Control Lett. 9 (1996) 95) is extended to the discrete-time domain. The result is illustrated on a practical example.

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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