基于观测器的非线性系统H_∞模糊可靠控制

H_∞ fuzzy reliable control based on observer for nonlinear systems

研究了基于观测器的非线性系统H∞模糊可靠控制问题.采用T-S模糊模型对非线性系统进行建模,用模糊观测器重构系统状态.在系统发生故障时满足给定H∞性能的约束下,最小化正常情况下的H∞性能,实现次优H∞模糊可靠控制.提出了两种应用线性矩阵不等式(LMI)的H∞模糊可靠控制器设计方法.分别采用两步法和相似变换法将双线性矩阵不等式问题转化为LMI问题.仿真示例验证了所提出方法的有效性.

The H∞ fuzzy reliable control based on observer problem is addressed for nonlinear systems. The Takagi- Sugeno fuzzy model is adopted for modeling the nonlinear system. The system states are estimated by a fuzzy observer. The suboptimal H∞ fuzzy reliable controller is achieved by minimizing the H, performance in the nomal case with a prescribed H∞ performance in actuator failure cases. Two methods for the design of a H∞ fuzzy reliable controller are proposed in terms of linear matrix inequality （LMI）. Two-step procedure method and similarity transfromation method are used to conver a bilinear matrix inequaliyt（BMI） problem into a LMI problem respectively. Finally, a simulation example shows the effectiveness of the proposed methods.