A Convex Optimization Approach to Control Design for Switching Power Converters with Time Delays

In this paper a convex optimization approach to design a robust state feedback control is proposed for DC-DC converter systems with mixed delays. Based on the Lyapunov theory, some required sufficient conditions are established in terms of delay-dependent linear matrix inequalities for the stochastic stability and stabilization of the considered system using some free matrices. The desired control is derived based on a convex optimization method. Key-Words: Robust control, DC-DC converter, Lyapunov function, delay, LMI

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