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

Journal of Computer & Robotics

شناسنامه علمی شماره، دوره 3، شماره 2، مهر 2010، صفحه 145-150   

نویسنده

Ahmad Fakharian^*

Department of Electrical and Computer Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran Department of Computer Science and Electrical Engineering, Control Engineering Group, Luleå University of Technology, Luleå, Sweden

چکیده

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).

کلیدواژه‌ها

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

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