Fuzzy Functional Observers for Dynamic TSK Systems

Several approaches have appeared in the literature for the design of controller/observer combinations for Takagi-Sugeno-Kang (TSK) systems. These approaches did not exploit the fact that lower order systems can be obtained for estimating the control from output measurements. We propose a new approach for the feedback stabilization of TSK system using an observer of the control vector. We obtain stability conditions for the new observer/controller and show that it can provide a more efficient solution than the results published earlier. We demonstrate our results through a numerical example where the order of the observers with the functional observers if half that of the reduced order observers