Abstract
The paper presents a nonlinear controller synthesis for the Takagi-Sugeno (T-S) fuzzy model based on sum of squares (SOS) technique. A T-S fuzzy model is known to be usable in modeling and control of nonlinear systems. In the paper, the Lyapunov direct method is applied to formulate a sufficient condition for the stability and optimal control of a T-S fuzzy model in terms of SOS programming. The controller design algorithm is iteratively carried out to enlarge the region of attraction of Lyapunov functions and guarantee the stability of the nonlinear controller. Computer simulations for an eccentric rotational proof mass actuator (TORA) system demonstrate the effectiveness of the nonlinear fuzzy control.
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