Abstract: This paper presents the studied of sliding mode control for a class of chaotic system via Takagi Sugeno fuzzy model approach. The method utilized the concept of state feedback control and Lyapunov functional approach to determine the condition of asymptotically stability. The condition for asymptotically stability and the reaching condition are presented in the forms of linear matrix inequalities (LMI), thus the globalasymptotically stability of fuzzy sliding mode control via Takagi Sugeno fuzzy model approach for a class of chaotic system is determined. An example is presented to shows the feasibility and the functionality of the proposed method.

• Publication Date: 05-May-2013
• DOI: 10.15224/978-981-07-6261-2-64
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Abstract: This paper presents the results of a fuzzy model based controller design via PDC type Takagi-Sugeno (T-S) of cart-ball system. The control aim is to balance the ball at arc center position at any given position of the cart. A fuzzy model based controller is designed based on T-S fuzzy controller via parallel distribution control (PDC) to achieve the control objective. The nonlinear mathematical model for the cart-ball system in this paperis represents by T-S fuzzy models and using PDC type controller as the control law.Based on fuzzy Lyapunov function approach, the stability condition of open loop fuzzy system and the stabilization of closed loop fuzzy system are obtained by solving a set linear matrix inequalities (LMIs). The effectiveness and the feasibility of the PDC type Takagi-Sugeno (T-S) fuzzy control is demonstrated and studied using MATLAB/Simulink software.

• Publication Date: 05-May-2013
• DOI: 10.15224/978-981-07-6261-2-65
• Views: 0
• Downloads: 0