基于混沌分岔理论,研究了开关频率对单相正弦脉宽调制(SPWM)逆变器的影响。以基本H桥逆变器为研究对象,采用一阶离散模型分析系统的混沌行为。应用频闪映射图、分岔图和频谱图,从时域到频域详细分析了开关频率对逆变器动态性能的影响。...基于混沌分岔理论,研究了开关频率对单相正弦脉宽调制(SPWM)逆变器的影响。以基本H桥逆变器为研究对象,采用一阶离散模型分析系统的混沌行为。应用频闪映射图、分岔图和频谱图,从时域到频域详细分析了开关频率对逆变器动态性能的影响。通过时滞反馈控制改善了系统在中低频段的混沌状态,并结合二阶时滞模型的雅可比矩阵特征值给出了系统稳定运行的参数域。通过仿真与实验,观察了电流在不同开关频率(3 k Hz和2 k Hz)下的分岔和混沌行为。结果表明,时滞反馈控制能有效抑制低开关频率造成的混沌,当时滞系数取0.22时,控制器抑制混沌的效果最好。展开更多
The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay.First,using the dynamic change of coordinates,the problem of global state feedback stabilization is...The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay.First,using the dynamic change of coordinates,the problem of global state feedback stabilization is solved for a class of time-delay systems under a type of nonhomogeneous growth conditions.With the aid of an appropriate Lyapunov-Krasovskii functional and the adaptive strategy used in coordinates,the closed-loop system can be globally asymptotically stabilized by the dynamic linear state feedback controller.The growth condition in perturbations are more general than that in the existing results.The correctness of the theoretical results are illustrated with an academic simulation example.展开更多
The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogene...The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.展开更多
文摘基于混沌分岔理论,研究了开关频率对单相正弦脉宽调制(SPWM)逆变器的影响。以基本H桥逆变器为研究对象,采用一阶离散模型分析系统的混沌行为。应用频闪映射图、分岔图和频谱图,从时域到频域详细分析了开关频率对逆变器动态性能的影响。通过时滞反馈控制改善了系统在中低频段的混沌状态,并结合二阶时滞模型的雅可比矩阵特征值给出了系统稳定运行的参数域。通过仿真与实验,观察了电流在不同开关频率(3 k Hz和2 k Hz)下的分岔和混沌行为。结果表明,时滞反馈控制能有效抑制低开关频率造成的混沌,当时滞系数取0.22时,控制器抑制混沌的效果最好。
基金supported by US National Science Foundation under Grant No.HRD-0932339the National Natural Science Foundation of China under Grant Nos.61374038,61374050,61273119,61174076+1 种基金the Natural Science Foundation of Jiangsu Province of China under Grant No.BK2011253Research Fund for the Doctoral Program of Higher Education of China under Grant No.20110092110021
文摘The dynamic linear state feedback control problem is addressed for a class of nonlinear systems subject to time-delay.First,using the dynamic change of coordinates,the problem of global state feedback stabilization is solved for a class of time-delay systems under a type of nonhomogeneous growth conditions.With the aid of an appropriate Lyapunov-Krasovskii functional and the adaptive strategy used in coordinates,the closed-loop system can be globally asymptotically stabilized by the dynamic linear state feedback controller.The growth condition in perturbations are more general than that in the existing results.The correctness of the theoretical results are illustrated with an academic simulation example.
基金supported by the National Natural Science Foundation of China under Grant Nos.61374038,61473079,and 61374060
文摘The semi-global stabilization problem for a class of nonlinear systems with state time-delay is addressed in this paper. By using Lyapunov-Krasovskii functional method and homogeneous dom- ination approach, a homogeneous observer and an output feedback controller with a scaling gain are designed. Then the sealing gain is adjusted such that the closed-loop system is semi-global asymptoti- cally stable. A numerical example is presented to illustrate the effectiveness of the obtained results in this paper.
