A Method of Robust Control for Nonlinear Inverted Pendulum System

Article Preview

Abstract:

In this paper, the controller of inverted pendulum with parametric uncertainty and nonlinearity was proposed. The controller was composed of two terms. Control law of linear part of the system was obtained by Coordinate Transfer and Backstepping algorithm. To the nonlinear part and uncertainty of the system which are usually not accords with the form of Backstepping algorithm, a BP neural network was applied to the design of the controller. Method submitted in this paper was less restrictive to the form of the nonlinear system, and has a wider universality. At the end of the paper, simulations proved the effectiveness of the proposed method.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 562-564)

Pages:

1650-1654

Citation:

Online since:

August 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Chen Daizhan, Hong Yiguang and Qin Huashu: Backstepping Forms of Multi-input Nonlinear Systems. Control Theory and Applications, Vol. 15, No. 6 (1998), pp.824-829.

Google Scholar

[2] Yang Junhua, Wu Jie and Hu Yueming: Principle of Backstepping and Its Applications in Nonlinear Robust Control. Control and Decision(December 2002), pp.641-647.

Google Scholar

[3] Jia Qingzhong, Liu Yongshan and Liu Zaozhen: Backstepping Design for Uncertain Nonlinear Systems. Journal of System Simulating, Vol. 19, No. 21(2007), pp.5002-5007.

Google Scholar

[4] He Naibao, Jiang Changsheng and Gao Qiang: Adaptive Tracking Control Based on Backstepping for a Class of Uncertain Nonlinear Systems. Journal of Harbin Institute of Technology, Vol. 41, No. 5(2009), pp.169-171.

DOI: 10.1109/ccdc.2008.4597874

Google Scholar

[5] Olfati-Saber: Fixed point controllers and stabilization of the cart-pole system and the rotating pendulum. M Proc. of the38th IEEE Conference on Decision and Control, Phoenix(1999), pp.1174-21181.

DOI: 10.1109/cdc.1999.830086

Google Scholar

[6] Chen Jie, Li Zhiping and Zhangguozhu: Adaptive Robust Control of Variable Structure Neural Network. Acta Automatica Sinica, Vol. 36, No. 1, pp.174-178.

DOI: 10.3724/sp.j.1004.2010.00174

Google Scholar

[7] Chen Mou, Jiang Changsheng and Wu Qingxian: Control for Inverted Pendulum Based on Nonlinear Method. Control Theory and Applications, Vol. 21, No. 5(2004), pp.684-688.

Google Scholar

[8] Zeng Deliang, Liu Yuyan, Liu Jizhen, Zhang Lijuan and Quhaiyun: A Method of H∞ Optimum Control for Inverted Pendulum. Control Theory and Applications, Vol. 21, No. 5(2004), pp.717-719.

Google Scholar

[9] Biling S A and Tsang K M: Spectral analysis for nonlinear systems. Part: Interpretation of nonlinear frequency response function. Mechanical Systems and Signal Processing, Vol. 3, No. 4(1989), pp.341-359.

DOI: 10.1016/0888-3270(89)90042-3

Google Scholar

[10] Gugao Technology (shenzhen) Co. LTD: Experiments of Inverted Pendulum and Automatic Control Theory (2005).

Google Scholar