Nonlinear dynamical fuzzy control systems design.

In this thesis, a new approach of fuzzy control for continuous nonlinear dynamical systems is proposed, based on the framework of Takagi-Sugeno fuzzy model and a common controller for all the local models generated by fuzzifymg the nonlinear system. Some theorems giving sufficient conditions guarantee the simultaneous stabilization of fuzzy control systems via a common quadratic Lyapunov function have been presented and developed; their theoretical aspects have also been proved and discussed. Design algorithms, illustrative examples and graphs have been presented to show effectiveness of the approach.