非线性系统广义模糊跟踪控制

Fuzzy Descriptor Tracking Control Design for Nonlinear Systems

研究一种给定H_∞模型参考跟踪特性的非线性系统的T-S广义模糊跟踪控制问题.通过把一般的模糊模型等价变换到广义模糊模型,引入了松弛变量,并基于线性矩阵不等式(LMI)给出了新的H_∞跟踪控制器设计方法.控制器参数在一组线性矩阵不等式中同时得到求解,避免了原有方法分步求解的困难,方法简单易行且具有鲁棒性.两个算例表明了结论的有效性.

A T-S fuzzy descriptor tracking control design for nonlinear systems with a guaranteed H∞ model reference tracking performance is discussed. Slack variables are introduced into the model by equivalent transforming of the ordinary fuzzy model to a fuzzy descriptor model, and then a new H∞ tracking controller design method which is based on linear matrix inequality （LMI） is obtained. Its advantages are to solve all the controlling variables in LMIs at the same time to avoid the difficulties caused by two-step strategy, and the controller is robust. Two simulation examples are provided to demonstrate effectiveness of the method.