Robust H∞ State-feedback Control for Nonlinear Uncertain Systems with Mixed Time-varying Delays

This paper presents a new less conservative stability and H∞ state-feedback controller design of nonlinear uncertain systems with discrete interval and distributed time-varying delays. The main objective of this work is to attain robust asymptotic stability of concerned nonlinear system with H∞ performance index. By constructing suitable Lyapunov-Krasovskii functional (LKF) with quadruple integral terms, sufficient conditions are obtained for delay-dependent robust H∞ state-feedback control in the form of linear matrix inequalities (LMIs). Finally, numerical examples are added to show the advantage and usefulness of this work.

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