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针对广义模糊系统的结构特点和技术要求,构造出离散广义分段模糊Lyapunov函数的处理技术,讨论了输入采用双交叠模糊分化的离散广义T-S模糊系统的稳定性和控制器设计问题,在分段Lyapunov函数的基础上采用并行分布补偿法设计出离散广义模糊系统的模糊控制器,得出了新的判定闭环离散T-S模糊广义系统稳定性的充分条件,即在各最大交叠规则组内寻求一个公共正定矩阵和一个对称矩阵。所提出的条件成功的运用在模糊规则数较多的模糊系统中,取得了明显的效果。数值算例说明此法的有效性。
Aiming at the structural characteristics and technical requirements of generalized fuzzy system, the processing technique of discrete generalized piecewise fuzzy Lyapunov functions is constructed. The stability and controller design of discrete generalized TS fuzzy systems with double overlapping fuzzy differentials are discussed. Based on the segment Lyapunov function, the parallel distributed compensation method is used to design the fuzzy controller of the discrete generalized fuzzy system. The sufficient condition for the stability of the closed-loop discrete-time TS fuzzy singular system is obtained. That is, A public positive definite matrix and a symmetric matrix. The proposed conditions have been successfully applied in the fuzzy system with a large number of fuzzy rules and achieved significant results. Numerical examples illustrate the effectiveness of this method.