Observer-Based Tracking Control Design for a Class of Fuzzy Polynomial Systems

In this paper tracking control law design for a class of polynomial fuzzy systems is considered. The control law consists of an observer and a state feedback. A polynomial fuzzy observer estimates the state vector of the plant, and then the estimated state vector is employed by a polynomial feedback gain to fulfill the control law. The polynomial fuzzy control law leads the state vector of the plant to track the state vector of a stable reference model subject to an performance. Sufficient conditions for determination of the control law parameters will be presented in the form of an SOS program. Additionally simulation results are presented to show the merits of the proposed control design approach.