Numerical Analysis on Nonlinear Dynamical Behaviors of Control Systems with Time Delay

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Numerical Analysis on Nonlinear Dynamical Behaviors of Control Systems with Time Delay

更新时间：2025-07-09

- Numerical Analysis on Nonlinear Dynamical Behaviors of Control Systems with Time Delay
- Vol. 45, Issue 3, Pages: 1-6(2011)
- 作者机构：
  
  西安交通大学土木工程系,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： O317
- Online First：10 March 2011，
  
  Published：2011
- 稿件说明：
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Numerical Analysis on Nonlinear Dynamical Behaviors of Control Systems with Time Delay[J]. 2011, 45(3): 1-6.
DOI：

Numerical Analysis on Nonlinear Dynamical Behaviors of Control Systems with Time Delay[J]. 2011, 45(3): 1-6. DOI：

摘要

采用精细积分法和庞加莱截面法计算了不同反馈增益和时滞量情况下的受控系统响应

给出了系统随时滞变化的分岔图和庞加莱截面图

分析了含时滞反馈Duffing方程的分岔、混沌等非线性动力学行为

讨论了时滞和反馈增益对系统非线性特性的影响.结果表明

时滞受控系统的运动形式随着时滞的改变而改变

因此时滞可作为分岔开关来控制系统的运动形式

无论是倍周期运动、拟周期运动或者混沌运动

都可以通过选择合适的时滞量得以实现

并且随着控制增益的增大

系统的非线性特性表现得更加明显.

Abstract

A type of Duffing equation with time delay is solved by precise integration method and the Poincar map. The influences of time delay and feedback gain on the system's phase shifting solutions are discussed by Poincar sections and the bifurcation diagram. It shows that motion form of system changes with the varying time delay. The time delay is able to serve as a bifurcation switch to change the forms of system movement into period-doubling

quasi-periodic or chaotic motions. And system nonlinear dynamic behaviors get more complex as feedback gain increases.

关键词

Keywords

references

周福霖.工程结构减震控制[M].北京:地震出版社,1997.

XU Jian, CHUNG K W. Effects of time delayed position feedback on a van der Pol-Duffing oscillator [J]. Physica: D, 2003, 180: 17-39.

MA Suqi, LU Qishao, FENG Zhaosheng. Double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control [J]. Journal of Mathematical Analysis and Applications, 2008, 338(2): 993-1007.

杜毛毛,蒋卫华,徐秀艳.具带限反馈的时滞系统的Hopf分支分析[J].哈尔滨工业大学学报,2008,40(8):1273-1278.

DU Maomao, JIANG Weihua, XU Xiuyan. Hopf bifurcations in time-delay systems with band-limited feedback [J]. Journal of Harbin Institute of Technology, 2008, 40(8): 1273-1278.

张冬梅,李凤伟,徐涵.一类含参数激励和强迫激励的时滞反馈系统的分岔分析[J].徐州师范大学学报,2007,25(2):28-30.

ZHANG Dongmei, LI Fengwei, XU Han. Bifurcation of nonlinear systems involving time delays under combined parametric and forcing excitation [J]. Journal of Xuzhou Normal University, 2007, 25(2): 28-30.

钱长照,唐驾时.一类非自治时滞反馈系统的分岔控制[J].物理学报,2006,55(2):617-621.

QIAN Changzhao, TANG Jiashi. Bifurcation control for a non-autonomous system with two time delays [J]. Acta Physica Sinica, 2007, 25(2): 28-30.

WANG Huailei, WANG Zaihua, HU Haiyan. Hopf bifurcation of an oscillator with quadratic and cubic nonlinearities and with delayed velocity feedback [J]. Acta Mechanica Sinica, 2004, 20(4): 426-434.

XU Jian, LU Qishao. Hopf bifurcation of time-delay Lienard equations [J]. International Journal of Bifurcation and Chaos, 1999, 9(5): 939-951.

徐鉴,陆启韶,王乘.van der Pol-Duffing时滞系统的稳定性和Hopf分岔[J].力学学报,2000,32(1):112-116.

XU Jian, LU Qishao, WANG Cheng. Stability and bifurcations in a van der Pol-Duffing time-delay system [J]. Chinese Journal of Theoretical and Applied Mechanics, 2000, 32(1): 112-116.

徐鉴,陆启韶,黄玉盈.van der Pol型时滞系统的两参数余维一 Hopf分岔及其稳定性[J].固体力学学报,1999,20(4):297-302.

XU Jian, LU Qishao, HUANG Yuying. Co dimension 1 Hopf bifurcation and its stability in a van der Pol time delay system with two variant parameters [J]. Acta Mechanica Solida Sinica, 1999, 20(4): 297-302.

QIAN Changzhao, TANG Jiashi. A time delay control for a nonlinear dynamic beam under moving load [J]. Journal of Sound and Vibration, 2008, 309: 1-8.

PYRAGAS K. Continuous control of chaos by self-controlling feedback [J]. Physics Letters: A, 1992, 170: 421-428.

ALI M S, HOU Z K, NOORI M N. Stability and performance of feedback control systems with time delays [J]. Computers and Structures, 1998, 66(2/3): 241-248.

陈龙祥,蔡国平.旋转运动柔性梁的时滞主动控制实验研究[J].力学学报,2008,40(4):520-527.

CHEN Longxiang, CAI Guoping. Experimental study on active control of a rotating flexible beam with time delay [J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(4): 520-527.

孙清,刘正伟,伍晓红,等.含双时滞振动主动控制系统的稳定性分析[J].西安交通大学学报,2010,44(1):112-116.

SUN Qing, LIU Zhengwei, WU Xiaohong, et al. Stability analysis of active vibration control system involving double time delays [J]. Journal of Xi'an Jiaotong University, 2010, 44(1): 112-116.

孙清,张斌,伍晓红,等.含双时滞主动控制系统平凡平衡解稳定性的数值分析[J].西安交通大学学报,2010,44(5):102-105.

SUN Qing, ZHANG Bin, WU Xiaohong, et al. Numerical analysis for stability of trivial equilibrium solution of active control systems with double time delays [J]. Journal of Xi'an Jiaotong University, 2010, 44(5): 102-105.

利用遗传算法的磁流变阻尼器结构含时滞半主动控制. 西安交通大学学报,2010,44(9):122-127.

可控磁悬浮系统的转子周期性振动抑制. 西安交通大学学报,2010,44(7):55-58.

往复压缩机轴系扭振的数值分析. 西安交通大学学报,2010,44(3):100-104.

时频域交互法在微滑移干摩擦阻尼叶片振动分析中的应用. 西安交通大学学报,2009,43(11):22-26.

冲击故障特征提取的非线性流形学习方法. 西安交通大学学报,2009,43(11):95-99.

三向地震模拟平台控制系统的研究. 西安交通大学学报,2009,43(10):16-21.

圆柱壳高频弯曲振动的能量有限元分析. 西安交通大学学报,2008,42(9):1113-1116.

检测地震不连续性结构的多分辨局部结构熵算法. 西安交通大学学报,2008,42(2):226-230.

控制时滞对负刚度Duffing系统动力学特性的影响. 西安交通大学学报,2007,41(7):811-814.

基于遗传算法信息组合的自适应模糊控制. 西安交通大学学报,2007,41(7):838-841.

三维流体诱发振动的理论模型与数值模拟. 西安交通大学学报,2007,41(5):512-516.

压电分流阻尼系统的重置开关控制. 西安交通大学学报,2006,40(7):841-845.

基于X滤波最小均方算法的冲击振动自适应逆控制. 西安交通大学学报,2004,38(2):144-148.

新型磁流变阻尼器及其在结构振动半主动控制中的应用. 西安交通大学学报,2003,37(1):92-95.

结构变结构控制的指数趋近律改进方法. 西安交通大学学报,2003,37(1):108-110.

建筑结构滑模控制的趋近律方法. 西安交通大学学报,2000,34(5):95-100.

不确定性结构振动的模糊推理移相控制研究. 西安交通大学学报,2000,34(5):109-110.

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