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This paper investigates the problem of stability analysis and robust H ∞ controller for timedelayed systems with parameter uncertainties and stochastic disturbances. It is assumed parameter uncertainties are norm bounded and mean and variance for disturbances of them are known. Firstly, by constructing a newly augmented Lyapunov-Krasovskii functional, a stability criterion for nominal systems with time-varying delays is derived in terms of linear matrix inequalities (LMIs). Secondly, based on the result of stability analysis, a new controller design method is proposed for the nominal form of the systems. Finally, the proposed method is extended to the problem of robust H ∞ controller design for a time-delayed system with parameter uncertainties and stochastic disturbances. To show the validity and effectiveness of the presented criteria, three examples are included.

Stability and Robust H∞Control for Time-Delayed Systems with Parameter Uncertainties and Stochastic Disturbances

Stability and Robust H_∞Control for Time-Delayed Systems with Parameter Uncertainties and Stochastic Disturbances