T-S模型输入饱和扰动抑制及在Lurie系统中的应用

Disturbance attenuation to T-S model with input saturation and its application to Lurie system

研究了一类输入饱和T-S模型的扰动抑制问题。采用分区讨论与大中取大综合方法处理饱和项,利用Lyapunov稳定性理论,提出了非线性系统的执行器饱和控制器存在的充分条件,进一步对控制器进行了优化,以实现扰动抑制要求。通过简单变换,将该条件转化为Matlab易于求解的线性矩阵不等式。最后,对Lurie系统的控制仿真验证了该方法的有效性。

The problem of disturbance attenuation to T-S model with input saturation is studied. Using the meth od 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 the dis- turbance attenuation to the nonlinear system under the Lyapunov stability theory. After some easy transformation, the condition is turned into the form of linear matrix inequalities （LMI） which are easy to solve by the help of Matlab. Simulations of the control to Lurier system show the effectiveness of the proposed method.