Design of fuzzy-model-based controller for time-varying input-delayed TS fuzzy systems

This paper addresses a design method of a controller for Takagi-Sugeno (TS) fuzzy systems in the presence of a time-varying input delay. It is commonly believed that the existence of the time delay makes the closed-loop stabilization more difficult. The significance of the addressed control problem is more emphasized in the practical systems such as the virtual laboratory (VL) and the chemical processes. In this paper, a new fuzzy-model-based control methodology is proposed for controlling TS fuzzy systems with time-varying input delay. A new design technique is developed based on the Lyapunov-Razumikhin stability theorem. A sufficient condition for the asymptotic stability of the TS fuzzy systems is formulated in terms of linear matrix inequalities (LMIs). The derived condition can deal with any time-varying input delay within the admissible bound. The effectiveness of the proposed controller design technique is demonstrated by a numerical simulation