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This paper addresses the issue of robust H∞control for a class of continuous-time uncertain switched linear systems. A set of state-feedback gains and two switching rules are designed to render the closed-loop system globally stable and assuring a guaranteed H∞cost. The corresponding parameters of the controller are obtained by solving an optimization problem given in terms of Linear Matrix Inequalities (LMIs). Finally, an example using an active suspension system illustrates the effectiveness of the proposed approach.

This paper presents a control method for a class of continuous-time switched systems, using state feedback variable structure controllers. The method is applied to the control of a non-trivial dc-dc power converter and a simple and inexpensive control circuit design, that was simulated using the software PSpice, is proposed. The design is based on Lyapunov-Metzler-SPR systems and the performance of the resulting control system is superior to that afforded by a recently proposed alternative sliding-mode control technique.

In this paper, the fuzzy Lyapunov function approach is considered for stabilizing continuous-time Takagi-Sugeno fuzzy systems. Previous linear matrix inequality (LMI) stability conditions are relaxed by exploring further the properties of the time derivatives of premise membership functions and by introducing a slack LMI variable into the problem formulation. The stability results are thus used in the state feedback design which is also solved in terms of LMIs. Numerical examples illustrate the efficiency of the new stabilizing conditions presented.