An LMI Approach to H∞ Performance Analysis of Continuous-Time Systems with Two Additive Time-Varying Delays

Abstract. This paper investigates the problem of H∞ performance analysis for continous–time systems with two additive time-varying delays in the state. Our objective is focused on stability analysis of a continuous system with two time-varying delays with an H∞disturbance attenuation level γ. By exploiting Lyapunov-Krasovski functional and introducing free weighting matrix variables, LMI stability condition have been derived.

Keywords: H∞ performance analysis; Linear Matrix Inequality (LMI); time delay systems

ITB Journal of Engineering Science, Vol. 43, No. 2, 2011, pp.127-138