Sliding mode control for uncertain time-delay systems with sector nonlinearities via fuzzy rule

In this paper, the principle of sliding mode control (SMC) is used as a basis to develop an adaptive fuzzy controller for uncertain time-delay systems with sector nonlinearities. The control method provides a simple way to achieve asymptotic stability of the uncertain dynamic system. Other attractive features of the method include a minimal realization of the adaptive fuzzy controller and insensitivity to the uncertainties and disturbances. In addition, the method is capable of handling the chattering problem inherent to the sliding mode control easily and effectively. Since, the design of the rule bases for the fuzzy sliding mode control still has relied on a priori knowledge. The adaptive fuzzy sliding mode system has more robustness against parameter variations and external disturbances than fuzzy sliding mode control. Simulation results are presented to demonstrate these features of the method.