Robust H Infinity Control for Discrete-Time Switched Linear Systems Subject to Exponential Uncertainty

In this paper, we address the robust H infin control problem of discrete-time switched linear systems with exponential uncertainties. By using Taylor series approximation and convex polytope technique, exponential uncertain discrete-time switched linear system is transformed into an equivalent switc...

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Bibliographic Details
Published inICICTA : 2008 International Conference on Intelligent Computation Technology and Automation : 20-22 October 2008 Vol. 1; pp. 455 - 459
Main Authors Changlin Li, Fei Long, Changzhen Cui
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.10.2008
Subjects
Attenuation
Control systems
Convex Polytope
Discrete-time Switched Linear Systems
Educational institutions
Exponential Uncertainty
H infinity control
Linear systems
LMIs
Lyapunov method
Robust control
State feedback
Taylor series
Uncertainty
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ISBN0769533574
9780769533575
DOI10.1109/ICICTA.2008.261

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Summary:In this paper, we address the robust H infin control problem of discrete-time switched linear systems with exponential uncertainties. By using Taylor series approximation and convex polytope technique, exponential uncertain discrete-time switched linear system is transformed into an equivalent switched polytopic model with an additive norm bounded uncertainty. For such equivalent switched model, we design its switching strategy and associated state feedback sub-controllers so that such switched model is asymptotical stabilization with H infin disturbance attenuation based on multiple Lyapunov function technology and LMI approach.
ISBN:0769533574
9780769533575
DOI:10.1109/ICICTA.2008.261