Abstract:

The problem of disturbance attenuation to T-S fuzzy system with input saturation is studied. Using the method of zoned discussion and maximax synthesis to deal with the saturation term, a sufficient condition for the existence of the controller with input saturation is presented，and the optimization of the controller is discussed to realize disturbance attenuation to the nonlinear system under the Lyapunov stability theory. After some easy transformation, the condition is turned into linear matrix inequalities (LMIs) form which is easy to solve by the help of Matlab. Simulations of the control to Lurier system show the effectiveness of the proposed method.