In this paper, two kinds of chaotic systems are controlled respectively with and without time-delay to eliminate their chaotic behaviors. First of all, according to the first-order approximation method and the stabili...In this paper, two kinds of chaotic systems are controlled respectively with and without time-delay to eliminate their chaotic behaviors. First of all, according to the first-order approximation method and the stabilization condition of the linear system, one linear feedback controller is structured to control the chaotic system without time-delay, its chaotic behavior is eliminated and stabilized to its equilibrium. After that, based on the first-order approximation method, the Lyapunov stability theorem, and the matrix inequality theory, the other linear feedback controller is structured to control the chaotic system with time-delay and make it stabilized at its equilibrium. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the two linear feedback controllers.展开更多
The problem of time delay speed feedback in the control loop is considered here.Its effects on the linear stability and dynamic behavior of the maglev system are investigated.It is found that a Hopf bifurcation can ta...The problem of time delay speed feedback in the control loop is considered here.Its effects on the linear stability and dynamic behavior of the maglev system are investigated.It is found that a Hopf bifurcation can take place when the time delay exceeds certain values.The stability condition of the maglev system with the time delay is acquired.The direction and stability of the Hopf bifurcation are determined by constructing a center manifold and by applying the normal form method.Finally,numerical simulations are performed to verify the analytical result.展开更多
With noncritical eigenvalues assumed to be campletely controllable stability and linear feedback stabiliz-ablity probems are attacked by the center manifold method, and a procedure had been established for the constru...With noncritical eigenvalues assumed to be campletely controllable stability and linear feedback stabiliz-ablity probems are attacked by the center manifold method, and a procedure had been established for the construction of linear feedback stabilizing law on the basis of noncritical eigenvalue assignment.展开更多
研究了全桥型DC/DC变换器系统的控制方法。针对现有DC/DC变换器动态响应速度慢、抗干扰能力差的现状,提出了基于状态反馈精确线性化的动态矩阵控制-比例积分微分DMC-PID(dynamic matrix control-proportional integral differential)串...研究了全桥型DC/DC变换器系统的控制方法。针对现有DC/DC变换器动态响应速度慢、抗干扰能力差的现状,提出了基于状态反馈精确线性化的动态矩阵控制-比例积分微分DMC-PID(dynamic matrix control-proportional integral differential)串级控制方法。应用状态空间平均法建立全桥型DC/DC变换器系统的非线性模型,通过状态反馈精确线性化后得到线性化系统。为使系统获得优良的控制性能,选取DMC-PID串级控制方法。该控制方法同时具备PID算法的鲁棒性和DMC算法的快速性和稳定性,能有效地解决电源输入电压大范围波动输出电压不能及时稳定的问题。通过仿真分析和实验验证了该方案能在各种扰动工作条件下实现对变换器输出精确、快速的控制。展开更多
In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop...In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop system. Then by proving the uniqueness of the solution to a related ordinary differential equation, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise multiplier method, we prove that, by either one distributed force feedback or a distributed moment feedback control, the closed loop system can be exponentially stabilized.展开更多
基金Supported by the National Natural Science Foundation of China (61863022)the Natural Science Foundation of Gansu Province(20JR10RA329)Scientific Research and Innovation Fund Project of Gansu University of Chinese Medicine in 2019 (2019KCYB-10)。
文摘In this paper, two kinds of chaotic systems are controlled respectively with and without time-delay to eliminate their chaotic behaviors. First of all, according to the first-order approximation method and the stabilization condition of the linear system, one linear feedback controller is structured to control the chaotic system without time-delay, its chaotic behavior is eliminated and stabilized to its equilibrium. After that, based on the first-order approximation method, the Lyapunov stability theorem, and the matrix inequality theory, the other linear feedback controller is structured to control the chaotic system with time-delay and make it stabilized at its equilibrium. Finally, two numerical examples are given to illustrate the correctness and effectiveness of the two linear feedback controllers.
基金Supported by National Natural Science Foundation of China(604040037 and Fork Ying-Dong Education Foundation(94028)
文摘The problem of time delay speed feedback in the control loop is considered here.Its effects on the linear stability and dynamic behavior of the maglev system are investigated.It is found that a Hopf bifurcation can take place when the time delay exceeds certain values.The stability condition of the maglev system with the time delay is acquired.The direction and stability of the Hopf bifurcation are determined by constructing a center manifold and by applying the normal form method.Finally,numerical simulations are performed to verify the analytical result.
文摘With noncritical eigenvalues assumed to be campletely controllable stability and linear feedback stabiliz-ablity probems are attacked by the center manifold method, and a procedure had been established for the construction of linear feedback stabilizing law on the basis of noncritical eigenvalue assignment.
文摘研究了全桥型DC/DC变换器系统的控制方法。针对现有DC/DC变换器动态响应速度慢、抗干扰能力差的现状,提出了基于状态反馈精确线性化的动态矩阵控制-比例积分微分DMC-PID(dynamic matrix control-proportional integral differential)串级控制方法。应用状态空间平均法建立全桥型DC/DC变换器系统的非线性模型,通过状态反馈精确线性化后得到线性化系统。为使系统获得优良的控制性能,选取DMC-PID串级控制方法。该控制方法同时具备PID算法的鲁棒性和DMC算法的快速性和稳定性,能有效地解决电源输入电压大范围波动输出电压不能及时稳定的问题。通过仿真分析和实验验证了该方案能在各种扰动工作条件下实现对变换器输出精确、快速的控制。
文摘In this article, we study the locally distributed feedback stabilization problem of a nonuniform Euler-Bernoulli beam. Firstly, using the semi-group theory, we establish the wellposedness of the associated closed loop system. Then by proving the uniqueness of the solution to a related ordinary differential equation, we derive the asymptotic stability of the closed loop system. Finally, by means of the piecewise multiplier method, we prove that, by either one distributed force feedback or a distributed moment feedback control, the closed loop system can be exponentially stabilized.
