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The stability analysis on a class of oscillatory systems whose controlled object has a standard form of second-order systems is presented. The effect of the signal transmission delay on the performance of the closed loop control system with unit negative feedback is discussed. The relationship between the time-delay and the stability of closed loop control system is obtained via drawing and analyzing the Nyquist plots in the different regions of the relative damping coefficient. The simulation example of unit step response for each case is processed and the simulation results show that the analysis is correct.
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Keywords:
- oscillatory systems /
- negative feedback /
- time-delay /
- positive effect
[1] Wang Z H, Li J Y 2010 Acta Mech. Sin. 42 933 (in Chinese) [王在华, 李俊余 2010 力学学报 42 933]
[2] Liu H R, Zhu Z L, Shi P M 2010 Acta Phys. Sin. 59 6770 (in Chinese) [刘浩然, 朱占龙, 时培明 2010 59 6770]
[3] Guo X Y, Li J M 2012 Chin. Phys. B 21 020501
[4] Xu J, Pei L J 2006 Adv. Mech. 36 17 (in Chinese) [徐鉴, 裴利军 2006 力学进展 36 17]
[5] Tao H F, Hu S S 2011 Acta Phys. Sin. 60 010514 (in Chinese) [陶洪峰, 胡寿松 2011 60 010514]
[6] Zheng Y A 2012 Chin. Phys. Lett. 29 020502
[7] Xu X, Hu H Y, Wang H L 2006 Nonlinear Dynam. 49 117
[8] Yang J H, Liu X B 2012 Acta Phys. Sin. 61 010505 (in Chinese) [杨建华, 刘先斌 2012 61 010505]
[9] Liu B, Hu H Y 2008 J. Sound Vib. 312 509
[10] Pyragas K 1992 Phys. Lett. A 170 421
[11] Michiels W, Van A, Niculescu S 2005 IEEE Trans. Automat. Con- tr. 50 493
[12] Yue D, Han Q L, Peng C 2004 IEEE Trans. Circuits-II 51 640
[13] Han X, Arcak M 2006 IEEE Trans. Automat. Contr. 51 139
[14] Abdallah C, Dorato P, Benitez-Read J, Byrne R 1993 American Control Conference San Francisco, USA, June 2-4, 1993 p3106
[15] Wang Z H, Hu H Y 2000 J. Sound Vib. 233 215
[16] Tang G Y 2006 Proceedings of the 6th World Congress on Intelligent Control and Automation Dalian, China, June 21-23, 2006 p349
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[1] Wang Z H, Li J Y 2010 Acta Mech. Sin. 42 933 (in Chinese) [王在华, 李俊余 2010 力学学报 42 933]
[2] Liu H R, Zhu Z L, Shi P M 2010 Acta Phys. Sin. 59 6770 (in Chinese) [刘浩然, 朱占龙, 时培明 2010 59 6770]
[3] Guo X Y, Li J M 2012 Chin. Phys. B 21 020501
[4] Xu J, Pei L J 2006 Adv. Mech. 36 17 (in Chinese) [徐鉴, 裴利军 2006 力学进展 36 17]
[5] Tao H F, Hu S S 2011 Acta Phys. Sin. 60 010514 (in Chinese) [陶洪峰, 胡寿松 2011 60 010514]
[6] Zheng Y A 2012 Chin. Phys. Lett. 29 020502
[7] Xu X, Hu H Y, Wang H L 2006 Nonlinear Dynam. 49 117
[8] Yang J H, Liu X B 2012 Acta Phys. Sin. 61 010505 (in Chinese) [杨建华, 刘先斌 2012 61 010505]
[9] Liu B, Hu H Y 2008 J. Sound Vib. 312 509
[10] Pyragas K 1992 Phys. Lett. A 170 421
[11] Michiels W, Van A, Niculescu S 2005 IEEE Trans. Automat. Con- tr. 50 493
[12] Yue D, Han Q L, Peng C 2004 IEEE Trans. Circuits-II 51 640
[13] Han X, Arcak M 2006 IEEE Trans. Automat. Contr. 51 139
[14] Abdallah C, Dorato P, Benitez-Read J, Byrne R 1993 American Control Conference San Francisco, USA, June 2-4, 1993 p3106
[15] Wang Z H, Hu H Y 2000 J. Sound Vib. 233 215
[16] Tang G Y 2006 Proceedings of the 6th World Congress on Intelligent Control and Automation Dalian, China, June 21-23, 2006 p349
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