M.-C. Pai
Dynamic output feedback, sliding mode control, time-delay, linearmatrix inequality
This paper presents a methodological approach to design dynamic output feedback sliding mode control for a class of mismatched uncertain systems with state and input delays. A new switching surface is proposed and a state observer is employed to reconstruct the sliding mode control action. Based on the improved Lyapunov function and linear matrix inequality (LMI) technique, the stability of the overall closed-loop uncertain time-delay system under the proposed control scheme is guaranteed without the state transfor- mation. Furthermore, the state observer and control law can be constructed from the positive-definite solutions of two LMIs, the de- sign technique is simple and computationally efficient. The validity of the proposed control methodology is demonstrated by simulation results.
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