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针对互联项与输入项均存在时滞的非线性时滞互联系统,通过模糊控制方法研究其鲁棒H∞控制问题.应用模糊T-S模型对系统进行建模,利用分散化平行分布补偿算法(DPDC)设计模糊分散控制器.通过定义新的Lyapunov函数,利用牛顿-莱布尼兹公式、自由加权矩阵和线性矩阵不等式理论,给出时滞互联系统保持稳定的充分条件.研究结果表明:存在外界干扰的非线性时滞互联系统,在满足该充分条件的情况下仍能满足H∞性能指标.数值仿真验证方法的有效性.
To solve the problem of robust H∞ control for a class of nonlinear time-delay interconnected systems with interconnections and inputs, the fuzzy H∞ control problem is studied by fuzzy control method. The fuzzy TS model is used to model the system. The decentralized parallel distributed compensation algorithm (DPDC ) Is proposed to design fuzzy decentralized controller.The sufficient condition for the stability of interconnected systems with time-delay is given by defining a new Lyapunov function and using the Newton-Leibniz formula, the free-weighted matrix and the linear matrix inequality theory.The results show that: Disturbed nonlinear time-delay interconnected system, the H∞ performance index can still be satisfied under the sufficient condition.Numerical simulation verifies the effectiveness of the method.