Abstract
This paper presents a novel Lyapunov-type functional to develop a new robust control method for general time-varying delay stochastic uncertain systems with Brownian motion (Wiener process) and structural uncertainties. The proposed novel Lyapunov-type functional can effectively treat the general cases where the state derivative does not exist due to Brownian motion and the derivative of time-varying delay may be any bounded values, i.e., a difficult task as known in the literature. Based on that, the robust control method is further developed by applying singular value decomposition (SVD) to all structural uncertainties, the slide mode control (SMC) and linear matrix inequality (LMI) for the controller design. The simulation of the literature examples demonstrates the correctness of the presented new methods, which outperform the existing methods.
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