Optimal fuzzy guaranteed cost control for Delta-operatorbased nonlinear systems
Dequan Li · Systems engineering and electronics · 2005
The optimal guaranteed cost controller design problem for nonlinear system with norm-bounded time-varying uncertainty is researched. The Takagi-Sugeno(T-S) fuzzy model in Delta-operator form is adopted for fuzzy modeling of the uncertain nonlinear system. Based on the linear matrix inequality technology, a sufficient condition for the existence of guaranteed cost controller is derived. Then a convex optimization algorithm is presented to obtain the optimal guaranteed cost controller in the sense of minimizing the upper bound of the quadratic performance index. With this approach, the related results on the continuous-time and discrete-time fuzzy systems are incorporated into the delta operator framework.