Noise Observer Based Sliding Mode Control for Time-Varying Delay Systems

This paper investigates the control issue for noise-perturbed time-varying delay systems. A novel state and noise observer (SNO) based sliding mode control (SMC) law is designed, meanwhile, a weighted energy-to-energy performance (WEEP) is proposed for reducing the negative influence of the observer-induced complex exogenous noises. By a novel free-weight matrix method, the stability condition is conveniently obtained. By the proposed method, the exponential stability of close-loop system can be guaranteed while a WEEP is simultaneously achieved, moreover, the exponential convergence rate can be pre-specified. Numerical examples are provided to demonstrate the effectiveness of the proposed methods.

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