This paper addresses robust H∞ control and stabilization of switched linear systems with norm-bounded time-varying uncertainties. First, based on multiple Lyapunov functions methodology, a sufficient condition is derived for robust stabilization with a prescribed disturbance attenuation level γ only by employing state-dependent switching rules. Then the robust H∞ control synthesis via switched state feedback is studied. It is shown that a switched state-feedback controller can be designed to stabilize the switched systems with an H∞-norm bound if a matrix inequality based condition is feasible. This condition can be dealt with as linear matrix inequalities (LMIs) provided that the associated parameters are selected in advance. All the results presented can be regarded as an extension of some existing results for both switched and nonswitched systems.

Issue Section:
Technical Briefs
Keywords:
uncertain switched systems, Lyapunov methods, disturbance attenuation, feedback stabilization, switching rule, robust control, uncertain systems, linear matrix inequalities, linear systems, control system synthesis, state feedback, time-varying systems, Lyapunov methods
Topics:
Linear systems, State feedback, Uncertainty, Linear matrix inequalities, Lyapunov methods, Design
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