| GENERAL |
|
|
|
|
Tracking Desired Trajectory in a Vibro-Impact System Using Backstepping Design |
| WANG Liang1, XU Wei1, ZHAO Rui2, SUN Chun-Yan1, GUO Yong-Feng1 |
| 1Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 7100722Department of Mathematics, Shangluo University, Shangzhou 726000 |
|
| Cite this article: |
|
WANG Liang, XU Wei, ZHAO Rui et al 2009 Chin. Phys. Lett. 26 100503 |
|
|
|
|
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.
|
| Keywords:
05.45.Gg
|
|
|
Received: 26 March 2009
Published: 27 September 2009
|
|
| PACS: |
05.45.Gg
|
(Control of chaos, applications of chaos)
|
|
|
|
|
|
[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 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
