将模糊Lyapunov稳定性理论引入到一类具有参数不确定的Takagi-Sugeno(T-S)模糊系统的分析与设计中。通过构造模糊系统的模糊Lyapunov函数,采用状态反馈的并行分布补偿(PDC)结构,给出了T-S模糊系统渐近稳定的充分条件,并以线性矩阵不等式的形式给出了系统保性能控制器的参数化设计方法。将提出的方法应用于混沌系统进行仿真,仿真结果表明该方法的有效性。
The fuzzy Lyapunov stability theory was adopted into the analysis and design of a class of Takagi-Sugeno fuzzy systems with parametric uncertainties. The problem of designing a guaranteed cost controller was studied by formulating the fuzzy Lyapunov function of the fuzzy system, and the sufficient conditions were derived by using the parallel distributed compensation (PDC) strategy. The simulation result of chaotic system shows this method has good effectivity.