一类参数不确定性混沌系统的T-S模糊控制

针对一类参数不确定性混沌系统,首次提出利用区间矩阵理论描述其不确定性,进而用T-S模糊模型对其进行精确描述的新方法.在此T-S模糊模型的基础上,给出一种基于并行分布补偿(PDC)技术的状态反馈控制器设计方法,并用Lyapunov稳定性理论证明了闭环系统的鲁棒稳定性.该方法充分考虑了模糊子系统之间的相互作用.状态反馈控制器增益矩阵可以通过求解一组线性矩阵不等式(LMIs)获得.仿真结果验证了所提方法的有效性.

T-S Fuzzy Control for a Class of Chaotic Systems with Uncertain Parameters

A novel fuzzy control method was proposed for a class of chaotic systems with uncertain parameters. The interval matrices theory was applied to describe the parametric uncertainty. The T-S fuzzy models were employed for accurately modeling the chaotic systems. Based on the T-S fuzzy models, the parallel distributed compensation (PDC) technique was applied to design a state feedback controller for the chaotic systems. By using Lyapunov stability theory, the robust stability of the closed-loop system was proved. The new scheme considered the interactions of the fuzzy sub-systems sufficiently. The gain matrices of controller could be obtained by solving a set of linear matrix inequalities (LMIs). Simulation results are presented to demonstrate the effectiveness of the proposed method.