Robust guaranteed cost H∞ control for singular systems with multiple time delays subject to input saturation

This article investigates the robust guaranteed cost H∞ control problem for a class of singular systems with multiple time delays subject to input saturation. The delay-dependent sufficient condition and the robust guaranteed cost H∞ controller are proposed which guarantee that the closed-loop system is regular, impulse free and stable via Lyapunov theory, singular value theory and linear matrix inequality approach. A guaranteed cost function for the closed-loop systems has an upper bound irrespective of all admissible parameter uncertainties. Finally, numerical examples are provided to demonstrate the effectiveness of the proposed method.

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