An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractional- order chaotic system, where the slave system is not necessarily known in advance. Based on the desig...An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractional- order chaotic system, where the slave system is not necessarily known in advance. Based on the designed adaptive update laws and the linear feedback method, the adaptive fuzzy sliding controllers are proposed via the fuzzy design, and the strength of the designed controllers can he adaptively adjusted according to the external disturbances. Based on the Lya- punov stability theorem, the stability and the robustness of the controlled system are proved theoretically. Numerical simu- lations further support the theoretical results of the paper and demonstrate the efficiency of the proposed method. Moreover, it is revealed that the proposed method allows us to manipulate arbitrarily the response dynamics of the slave system by adjusting the desired scaling factor λi and the desired translating factor ηi, which may be used in a channel-independent chaotic secure communication.展开更多
This paper investigates the synchronization problem of fractional-order complex networks with nonidentical nodes. The generalized projective synchronization criterion of fractional-order complex networks with order 0 ...This paper investigates the synchronization problem of fractional-order complex networks with nonidentical nodes. The generalized projective synchronization criterion of fractional-order complex networks with order 0 〈 q 〈 1 is obtained based on the stability theory of the fractional-order system. The control method which combines active control with pinning control is then suggested to obtain the controllers. Furthermore, the adaptive strategy is applied to tune the control gains and coupling strength. Corresponding numerical simulations are performed to verify and illustrate the theoretical results.展开更多
设计了一款新型自适应分数阶比例-积分-微分(AdaptiveFractional-Order Proportional-Integral-Derivative,AFOPID)控制,以实现永磁同步发电机(Permanent Magnetic Synchronous Generator,PMSG)的最大功率追踪(Maximum Power Point Trac...设计了一款新型自适应分数阶比例-积分-微分(AdaptiveFractional-Order Proportional-Integral-Derivative,AFOPID)控制,以实现永磁同步发电机(Permanent Magnetic Synchronous Generator,PMSG)的最大功率追踪(Maximum Power Point Tracking, MPPT)。首先,将发电机非线性、参数不确定性、未建模动态以及随机风速聚合成一个扰动,并通过高增益状态-扰动观测器(High-Gain State and Perturbation Observer, HGSPO)对其在线估计。随后,采用分数阶PID(Fractional-Order Proportional-Integral-Derivative, FOPID)控制对该扰动估计进行完全补偿,以实现不同工况下全局一致的鲁棒控制性能。AFOPID控制较传统PID控制而言具有更出色的MPPT性能,且其无需精确的PMSG模型,仅需测量d轴电流和机械转速,易于实现。通过阶跃风速和随机风速两个算例,对AFOPID的控制性能与PID控制、FOPID控制和反馈线性化控制(Feedback Linearization Control, FLC)进行了对比。仿真结果验证了AFOPID控制的有效性和鲁棒性。展开更多
基金Project supported by the Research Foundation of Education Bureau of Hebei Province,China(Grant No.QN2014096)
文摘An adaptive fuzzy sliding mode strategy is developed for the generalized projective synchronization of a fractional- order chaotic system, where the slave system is not necessarily known in advance. Based on the designed adaptive update laws and the linear feedback method, the adaptive fuzzy sliding controllers are proposed via the fuzzy design, and the strength of the designed controllers can he adaptively adjusted according to the external disturbances. Based on the Lya- punov stability theorem, the stability and the robustness of the controlled system are proved theoretically. Numerical simu- lations further support the theoretical results of the paper and demonstrate the efficiency of the proposed method. Moreover, it is revealed that the proposed method allows us to manipulate arbitrarily the response dynamics of the slave system by adjusting the desired scaling factor λi and the desired translating factor ηi, which may be used in a channel-independent chaotic secure communication.
文摘This paper investigates the synchronization problem of fractional-order complex networks with nonidentical nodes. The generalized projective synchronization criterion of fractional-order complex networks with order 0 〈 q 〈 1 is obtained based on the stability theory of the fractional-order system. The control method which combines active control with pinning control is then suggested to obtain the controllers. Furthermore, the adaptive strategy is applied to tune the control gains and coupling strength. Corresponding numerical simulations are performed to verify and illustrate the theoretical results.
文摘设计了一款新型自适应分数阶比例-积分-微分(AdaptiveFractional-Order Proportional-Integral-Derivative,AFOPID)控制,以实现永磁同步发电机(Permanent Magnetic Synchronous Generator,PMSG)的最大功率追踪(Maximum Power Point Tracking, MPPT)。首先,将发电机非线性、参数不确定性、未建模动态以及随机风速聚合成一个扰动,并通过高增益状态-扰动观测器(High-Gain State and Perturbation Observer, HGSPO)对其在线估计。随后,采用分数阶PID(Fractional-Order Proportional-Integral-Derivative, FOPID)控制对该扰动估计进行完全补偿,以实现不同工况下全局一致的鲁棒控制性能。AFOPID控制较传统PID控制而言具有更出色的MPPT性能,且其无需精确的PMSG模型,仅需测量d轴电流和机械转速,易于实现。通过阶跃风速和随机风速两个算例,对AFOPID的控制性能与PID控制、FOPID控制和反馈线性化控制(Feedback Linearization Control, FLC)进行了对比。仿真结果验证了AFOPID控制的有效性和鲁棒性。
