输入采用一般模糊划分的T-S模糊控制系统稳定性分析

通过定义一种对输入空间的一般模糊划分(General fuzzy partition, GFP), 研究了输入采用GFP的T-S模糊系统的性质, 以充分利用规则前件变量的结构信息. 通过构造连续分段光滑Lyapunov函数, 提出了新的T-S模糊控制系统的稳定性条件. 该条件同时考虑了各局部子系统之间的相互关系, 降低了现有稳定性条件的保守性和求解难度. 通过严格证明和数值示例, 比较了所得稳定性条件之间的保守性关系及其与以往充分条件之间的关系. 对运用并行分布补偿(Parallel distributed compensation, PDC)和线性矩阵不等式(Linear matrix inequalities, LMI)方法所设计的T-S模糊控制系统进行计算机仿真研究, 结果验证了所得稳定性条件的有效性和优越性.

Stability Analysis of T-S Fuzzy Control System with Inputs Using General Fuzzy Partition

With the proposed definition of the general fuzzy partition (GFP) in the input space, the properties of T-S fuzzy control systems using GFP inputs are studied to make the best use of the antecedent structural information. New stability con- ditions of T-S fuzzy control systems are proposed via construct- ing the continuous piecewise smooth Lyapunov function. The resulting conditions in which the interactions among local sub- systems are also considered can relax the conservatism of the previous ones and reduce the diffculty of solution. The con- servatism relationships among the new conditions we proposed, as well as the relationships between the new conditions and the former one are proved in a rigorous and numerical manner. By means of the parallel distributed compensation (PDC) and linear matrix inequalities (LMI) approaches, the resulting T-S fuzzy control systems are investigated with computer simulations. The results demonstrate that the new stability conditions are effec-tive and advantageous.