This paper is concerned with the Hopf bifurcation control of a modified Pan-like chaotic system. Based on the Routh-Hurwtiz theory and high-dimensional Hopf bifurcation theory, the existence and stability of the Hopf ...This paper is concerned with the Hopf bifurcation control of a modified Pan-like chaotic system. Based on the Routh-Hurwtiz theory and high-dimensional Hopf bifurcation theory, the existence and stability of the Hopf bifurcation depending on selected values of the system parameters are studied. The region of the stability for the Hopf bifurcation is investigated.By the hybrid control method, a nonlinear controller is designed for changing the Hopf bifurcation point and expanding the range of the stability. Discussions show that with the change of parameters of the controller, the Hopf bifurcation emerges at an expected location with predicted properties and the range of the Hopf bifurcation stability is expanded. Finally,numerical simulation is provided to confirm the analytic results.展开更多
针对飞行器纵向模型的不确定性参数和随机干扰,研究了一类飞行器航迹倾角的自适应跟踪控制问题。在控制器设计过程中,将多维泰勒网(multidimensional Taylor network,MTN)的逼近特性和自适应backstepping方法相结合,利用MTN网络逼近未...针对飞行器纵向模型的不确定性参数和随机干扰,研究了一类飞行器航迹倾角的自适应跟踪控制问题。在控制器设计过程中,将多维泰勒网(multidimensional Taylor network,MTN)的逼近特性和自适应backstepping方法相结合,利用MTN网络逼近未知光滑非线性函数,提出了一种新的自适应MTN控制方法。通过Lyapunov稳定性理论证明了闭环系统的所有信号依概率有界,跟踪误差收敛到原点附近任意小的邻域。仿真结果表明,该方法能够在简化控制器设计的同时保证飞行器航迹倾角跟踪上预定轨迹。展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11372102)
文摘This paper is concerned with the Hopf bifurcation control of a modified Pan-like chaotic system. Based on the Routh-Hurwtiz theory and high-dimensional Hopf bifurcation theory, the existence and stability of the Hopf bifurcation depending on selected values of the system parameters are studied. The region of the stability for the Hopf bifurcation is investigated.By the hybrid control method, a nonlinear controller is designed for changing the Hopf bifurcation point and expanding the range of the stability. Discussions show that with the change of parameters of the controller, the Hopf bifurcation emerges at an expected location with predicted properties and the range of the Hopf bifurcation stability is expanded. Finally,numerical simulation is provided to confirm the analytic results.
文摘针对飞行器纵向模型的不确定性参数和随机干扰,研究了一类飞行器航迹倾角的自适应跟踪控制问题。在控制器设计过程中,将多维泰勒网(multidimensional Taylor network,MTN)的逼近特性和自适应backstepping方法相结合,利用MTN网络逼近未知光滑非线性函数,提出了一种新的自适应MTN控制方法。通过Lyapunov稳定性理论证明了闭环系统的所有信号依概率有界,跟踪误差收敛到原点附近任意小的邻域。仿真结果表明,该方法能够在简化控制器设计的同时保证飞行器航迹倾角跟踪上预定轨迹。
