Robust H_∞ Control for Time-Varying Delay Systems with Frequency-Dependent Performance Weights

Abstract

This paper proposes a control design that enables us to shape the frequency-dependent performance using a modified Lyapunov-Krasovskii-based stabilizing condition. A stabilizing controller can be obtained by solving the condition formulated in Linear Matrix Inequality (LMI). The designed controller is evaluated using numerical simulations, and it is employed to realize the velocity control of a DC motor. Experimental results verified that the proposed controller achieved better performance with less conservativeness and that it is applicable to real plants.