Nadolschi混沌系统的T-S模糊建模与控制

针对参数已知的Nadolschi混沌系统,利用T-S模糊模型对其进行精确描述,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,并且利用Lyapunov方法证明了所提方法的渐近稳定性.该方法充分考虑了模糊子系统间的相互作用.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.仿真结果表明,所设计的控制器能有效地控制Nadolschi混沌系统的混沌时间轨迹渐近稳定到其零平衡点,且控制简单可靠.该方法可以进一步推广到其他混沌系统的控制问题中.

T-S Fuzzy Modeling and Control for Nadolschi Chaotic Systems

The T-S fuzzy models as a new fuzzy modeling method are used to describe accurately the Nadolschi chaotic system whose parameters are given.Then,the parallel distributed compensation(PDC) is applied to the design of a state feedback controller.By using Lyapunov stability theory,the asymptotic stability of the proposed scheme is proved,which turns the interactions between fuzzy sub-systems to full account.The gain matrices of the designed controller can be obtained by solving a set of linear matrix inequalities.Simulation results showed that the designed state feedback controller can control easily the time trajectory of the Nadolschi chaotic system and stabilize it asymptotically so as to get to the zero balance point.The method can also be generalized and extended to the control of other chaotic systems.