Ahmad Fakharian - Department of Electrical and Computer Engineering, Islamic Azad University, Qazvin Branch, Qazvin, Iran
George Nikolakopoulos - Assistant Professor, Department of Computer Science and Electrical Engineering, Control Engineering Group, Luleå University of Technology, Sweden

The purpose of this study was to design a logic-based switching H2/H∞ state-feedback controller for continuous-time LTI singular perturbation systems. To this end, a hybrid control scheme based on a Genetic Algorithm (GA)-based supervisor is proposed which manages the combination of two controllers. A convex LMI-Based formulation of both fast and slow subsystem controllers leads to a structure which ensures a good performance in both transient and steady state phases. The stability analysis uses Lyapunov techniques, inspired from switching system theory, to prove that a system with the proposed controller remains globally stable despite the configuration (controller) changing.

Continuous-time LTI singular perturbation systems, GA-based supervisor, switching H2/H∞ state-feedback control, Linear Matrix Inequality (LMI)