中文摘要：

针对一类新的混沌系统——Nadolschi混沌系统，提出一种新的模糊镇定控制方法。该方法首先利用T—S模糊模型对Nadolschi混沌系统进行精确描述，在此T—S模糊模型的基础上，基于并行分布补偿（PDC）技术和精确线性化（EL）理论设计模糊状态反馈控制器来镇定Nadolschi混沌系统，并且利用线性系统理论证明了闭环系统的渐近稳定性。仿真结果表明，设计的控制器能够快速有效地将Nadolschi混沌系统的混沌时间轨迹渐近镇定到其零平衡点，且控制简单可靠。该方法可以进一步推广到其他混沌（超混沌）系统的控制问题中。

英文摘要：

A novel fuzzy control method is proposed to stabilize Nadolschi chaotic system. The T - S fuzzy models are employed to represent the chaotic system exactly. The parallel distributed compensation technique and exact linearization theory is applied to design a state feedback controller. By using linear system theory, the asymptotic stability of the closed - loop system is proved. Simulation results are presented to demonstrate that the designed state feedback controller can stabilize the Nadolschi chaotic system asymptotically. Furthermore, the novel control method can be generalized to stabilize other chaotic systems conveniently.