Output feedback control of discrete-time nonlinear systems with unknown time-delay based on Takagi-Sugeno fuzzy models

摘要

In this paper, a new discrete-time fuzzy output feedback control method for nonlinear systems with unknown time-delay is proposed. The method follows on from the analysis and design method for a fuzzy controller and observer proposed by Ma et al. ( IEEE T Fuzzy Syst ( 1998) 6( 1): 41 - 51), and the extension of this to nonlinear systems with known time-delay by Cao et al. ( IEEE T Fuzzy Syst ( 2000) 8( 2): 200 - 211) For the case of unknown time-delay, we derive the sufficient condition for the asymptotic stability of the equilibrium point by applying Lyapunov-Krasovskii theorem and convert this condition into the famous LMI problem.