摘要Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain. The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure. Numerical simulations are provided to verify the effectiveness of the proposed method.
Abstract：Based on the backstepping design of smooth systems, we developed a new control law to achieve chaos control for a vibro-impact system. In our control strategy, a novel and effective controller is designed such that the output of the vibro-impact system can track any desired trajectory in its domain. The single-degree-of-freedom vibro-impact system is taken as an example to show this control procedure. Numerical simulations are provided to verify the effectiveness of the proposed method.
WANG Liang;XU Wei;ZHAO Rui;SUN Chun-Yan;GUO Yong-Feng. Tracking Desired Trajectory in a Vibro-Impact System Using Backstepping Design[J]. 中国物理快报, 2009, 26(10): 100503-100503.
WANG Liang, XU Wei, ZHAO Rui, SUN Chun-Yan, GUO Yong-Feng. Tracking Desired Trajectory in a Vibro-Impact System Using Backstepping Design. Chin. Phys. Lett., 2009, 26(10): 100503-100503.
[1] Chin W et al 1994 Phys. Rev. E 50 4427 [2] Weger J D et al 1996 Phys. Rev. Lett. 76 3951 [3] Nordmark A B 1997 Phys. Rev. E 55 266 [4] Barbara B O and Tomasz K 1998 Chaos SolitonsFractals 9 1439 [5] Luo G W 2004 Phys. Lett. A 323 210 [6] Luo G W et al. 2006 J. Sound Vib. 298 154 [7] Souza S L T D et al 2007 Chaos Solitons Fractals 32 745 [8] Souza S L T D et al 2004 Chaos Solitons Fractals 19 171 [9] Wang L et al 2008 Phys. Lett. A 372 5309 [10] Wang L et al 2008 Chin. Phys. B 17 2446 [11] Ott E et al 1990 Phys. Rev. Lett. 64 1196 [12] Zhu C X and Chen Z G 2008 Phys. Lett. A 3724033 [13] Matias M A and Guemez J 1994 Phys. Rev. Lett. 72 1455 [14] Yang T et al 1997 Physica D 110 18 [15] Yang T et al 1997 Phys. Lett. A 232 356 [16] Zhong Q S et al 2008 Chin. Phys. Lett. 252812 [17] L\"{u J H and Zhang S C 2001 Phys. Lett. A 286 148 [18] Yassen M T 2006 Chaos Solitons Fractals 27537 [19] Liu N and Guan Z H 2009 Chin. Phys. Lett. 26070503 [20] Lu W G et al 2007 Chin. Phys. Lett. 24 1837
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