Robust stabilization and disturbance attenuation of switched linear parameter-varying systems in discrete time

Ji Woong Lee; Geir E. Dullerud

doi:10.1007/978-1-4614-1833-7_7

Robust stabilization and disturbance attenuation of switched linear parameter-varying systems in discrete time

Ji Woong Lee
, Geir E. Dullerud

Research output: Chapter in Book/Report/Conference proceeding › Chapter

3 Scopus citations

Abstract

Nonconservative analysis of discrete-time switched linear parameter-varying systems is achieved via switching path-dependent Lyapunov and Kalman-Yakubovich-Popov inequalities. Exact convex conditions for the synthesis of a class of state-feedback controllers are then expressed in terms of nested unions of linear matrix inequalities. The resulting controllers are robust in the sense that their coefficients depend solely on a finite number of the most recent past modes and parameters, but not on the current mode or parameter.

Original language	English (US)
Title of host publication	Control of Linear Parameter Varying Systems with Applications
Publisher	Springer US
Pages	157-179
Number of pages	23
Volume	9781461418337
ISBN (Electronic)	9781461418337
ISBN (Print)	1461418321, 9781461418320
DOIs	https://doi.org/10.1007/978-1-4614-1833-7_7
State	Published - Apr 1 2012
Externally published	Yes

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© 2012 Springer Science+Business Media, LLC. All rights reserved.

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10.1007/978-1-4614-1833-7_7

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Robust stabilization and disturbance attenuation of switched linear parameter-varying systems in discrete time

Abstract

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