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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 and reliable control of nonlinear systems based on observer is studied. The TS fuzzy model is used to model the nonlinear system and the fuzzy observer is used to reconstruct the state of the system. The system satisfies the given H∞ performance constraints , The H∞ performance under normal conditions is minimized and the fuzzy H∞ control of suboptimal H∞ is achieved.The paper presents two design methods of H∞ fuzzy reliable controllers using linear matrix inequalities (LMIs). Two-step method and similarity transformation The method transforms bilinear matrix inequality problem into LMI problem.The simulation examples show the effectiveness of the proposed method.