A new fuzzy stabilizer with tuning parameters for nonlinear system

In this paper, we consider a new fuzzy stabilizer which has tuning parameter so as to be applicable easily in real nonlinear plants. We adopted Inverse LQ(ILQ) regulator design method in which the state feedback control law is optimal for some unknown weights, thereby simplifying the design procedures. A design procedure is developed to extend the applications of ILQ regulator design method to nonlinear plants described by Takagi-Sugeno (TS) fuzzy model. Since ILQ control laws are optimal for each linear subsystems of TS fuzzy model, the weighted sum of general fuzzy stabilizer control law and ILQ control shows better performance than selecting one alternative. An numerical example is provided to illustrate the procedures of the proposed method.