基于T-S模糊模型的模糊大系统的混合滤波

Mixed H_2/H_∞ Filter Design of Fuzzy Large-scale System Based on T-S Fuzzy Model

针对非线性大系统内部过程参数的检测估计,采用连续模糊大系统模型,利用lyapunov定理和分布式处理方法,给出了模糊大系统的H2/H∞混合滤波器设计方法。该方法在保证滤波误差系统全局稳定的同时,具备了H2/H∞性能。通过求解线性矩阵不等式,可以得到滤波器参数。最后,用一个数值例子验证了该方法的正确性和有效性。

As to estimation the process parameter of nonlinear large-scale system, a mixed H2/H∞ filter design for fuzzy large-scale system is proposed. It is based on concatenation fuzzy large-scale sys- tem, Lyapunov theory and decentralized filtering scheme. It is shown that resulting filtering error system is globally stable with guaranteed H2 and generalized H∞ performance. The filters parameters can be obtained by solving a set of linear matrix inequalities. A numerical example is given to illustrate the pro- posed approaches.