Time-varying H∞ controller design for periodic piecewise vibration systems

Abstract

In this article, a kind of time-varying H∞ controller, which could be easily obtained by solving linear matrix inequalities, is proposed to attenuate the vibration of periodic piecewise vibration systems. The Lyapunov function with continuous time-varying Lyapunov matrix is adopted to develop a general condition of H∞ performance index for periodic piecewise vibration systems. An H∞ controller with continuous time-varying controller gain is designed to attenuate the system vibration. A numerical example is used to verify the merit of the proposed controller.