论文部分内容阅读
针对动力学行为更丰富更复杂的超混沌系统的控制问题,研究了最新提出的超混沌Lü系统的反馈控制问题,设计了一种线性反馈控制LFC(linear feedback control)和一种微分反馈控制DFC(differential feedback control)方法.用稳定性理论对反馈控制超混沌Lü系统的可控性和稳定性进行理论分析,理论分析和数值仿真都表明受控超混沌Lü系统可稳定地收敛到平衡点.采用文中的微分反馈控制DFC,通过调节控制增益,可以发现超混沌Lü系统不同的不稳定周期轨道UPO(unstable periodic orbit),并控制超混沌Lü系统到不同的不稳定周期轨道UPO.
Aiming at the control problem of hyperchaotic systems with more dynamic behavior and more complexity, the feedback control problem of the newly proposed hyperchaotic Lü system is studied. A linear feedback control (LFC) and a differential feedback control (DFC) (DFT) method is used to analyze the controllability and stability of feedback-controlled hyperchaotic Lü system. Theoretical analysis and numerical simulation show that the controlled hyper-chaotic Lü system can converge to the equilibrium point stably. By using the differential feedback control DFC in this paper, we can find the unstable periodic orbit UPO of the hyperchaotic Lü system and control the hyperchaotic Lü system to different unstable periodic orbits UPO by adjusting the control gain.