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
This paper studies the robust stochastic stabilization and robust H∞ control for linear time-delay systems with both Markovian jump parameters and unknown norm-bounded parameter uncertainties. This problem can be sol...This paper studies the robust stochastic stabilization and robust H∞ control for linear time-delay systems with both Markovian jump parameters and unknown norm-bounded parameter uncertainties. This problem can be solved on the basis of stochastic Lyapunov approach and linear matrix inequality (LMI) technique. Sufficient conditions for the existence of stochastic stabilization and robust H∞ state feedback controller are presented in terms of a set of solutions of coupled LMIs. Finally, a numerical example is included to demonstrate the practicability of the proposed methods.展开更多
摆振会降低起落架的使用寿命,影响乘坐舒适性,甚至会引起机体损坏,导致飞机失事。为了抑制起落架摆振,本文采用时滞反馈非线性能量汇(nonlinear energy sink,NES)对起落架摆振进行多目标优化。以某轻型飞机起落架为研究对象,设计了基于...摆振会降低起落架的使用寿命,影响乘坐舒适性,甚至会引起机体损坏,导致飞机失事。为了抑制起落架摆振,本文采用时滞反馈非线性能量汇(nonlinear energy sink,NES)对起落架摆振进行多目标优化。以某轻型飞机起落架为研究对象,设计了基于NES的时滞反馈半主动控制减摆器,并建立了前起落架摆振系统分析动力学方程。通过线性多步法求解出时滞反馈半主动控制摆振系统的特征根,分析了减摆器可控阻尼系数对特征根最大实部的影响。以时滞量为设计变量,将振幅衰减时间和第四周期振幅的线性加权组合确定为目标函数。采用粒子群算法对该优化目标进行全局搜索,得到相应的最优时滞量,并与遗传算法得到的结果进行对比,验证了最优时滞量的可靠性,并在时域内对减摆器的减摆效果进行了验证。结果表明,与无时滞控制系统相比,采用最优时滞反馈的半主动控制系统的前起落架摆振幅值显著降低。展开更多
研究在地球万有引力场和磁场中具有结构内阻尼的磁性刚体航天器在圆轨道上平面天平动的混沌行为及其控制。应用 Melnikov方法建立了系统存在横截异宿环的条件。分别采用 Poincare映射、功率谱和 L yapunov指数等数值方法对系统动力学行...研究在地球万有引力场和磁场中具有结构内阻尼的磁性刚体航天器在圆轨道上平面天平动的混沌行为及其控制。应用 Melnikov方法建立了系统存在横截异宿环的条件。分别采用 Poincare映射、功率谱和 L yapunov指数等数值方法对系统动力学行为进行识别。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.
文摘This paper studies the robust stochastic stabilization and robust H∞ control for linear time-delay systems with both Markovian jump parameters and unknown norm-bounded parameter uncertainties. This problem can be solved on the basis of stochastic Lyapunov approach and linear matrix inequality (LMI) technique. Sufficient conditions for the existence of stochastic stabilization and robust H∞ state feedback controller are presented in terms of a set of solutions of coupled LMIs. Finally, a numerical example is included to demonstrate the practicability of the proposed methods.
文摘摆振会降低起落架的使用寿命,影响乘坐舒适性,甚至会引起机体损坏,导致飞机失事。为了抑制起落架摆振,本文采用时滞反馈非线性能量汇(nonlinear energy sink,NES)对起落架摆振进行多目标优化。以某轻型飞机起落架为研究对象,设计了基于NES的时滞反馈半主动控制减摆器,并建立了前起落架摆振系统分析动力学方程。通过线性多步法求解出时滞反馈半主动控制摆振系统的特征根,分析了减摆器可控阻尼系数对特征根最大实部的影响。以时滞量为设计变量,将振幅衰减时间和第四周期振幅的线性加权组合确定为目标函数。采用粒子群算法对该优化目标进行全局搜索,得到相应的最优时滞量,并与遗传算法得到的结果进行对比,验证了最优时滞量的可靠性,并在时域内对减摆器的减摆效果进行了验证。结果表明,与无时滞控制系统相比,采用最优时滞反馈的半主动控制系统的前起落架摆振幅值显著降低。
