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Switching H2/H∞ Controller Design for Linear Singular Perturbation Systems

دوفصلنامه مجله کامپیوتر و رباتیک، دوره: 3، شماره: 2
Year: 1388
COI: JR_JCR-3-2_007
Language: EnglishView: 275
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Ahmad Fakharian - Department of Electrical and Computer Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran


This paper undertakes the synthesis of a logic-based switching H2/H∞ state-feedback controller for continuous-time LTI singular perturbation systems. Our solution achieves a minimum bound on the H2 performance level, while also satisfying the H∞ performance requirements. The proposed hybrid control scheme is based on a fuzzy supervisor managing the combination of two controllers. A convex LMI-Based formulation of two fast and slow subsystem controllers leads to a structure which ensures a good performance in both transient and steady-state phases. The stability analysis leverages on the Lyapunov technique, inspired from the switching system theory, to prove that a system with the proposed controller remains globally stable in the face of changes in configuration (controller).


Continuous-time LTI singular perturbation system , Fuzzy supervisor , Switching H2/H∞ state-feedback control , Linear Matrix Inequality (LMI)

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Fakharian, Ahmad,1388,Switching H2/H∞ Controller Design for Linear Singular Perturbation Systems,

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Type of center: Azad University
Paper count: 10,732
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