Quasi-Sliding Mode Control for Single Inverted Pendulum System

Abstract:

Inverted pendulum system is a nonlinear, coupling, multi-variable and unstable system. Because the inverted pendulum system exists all kinds of disturbs inevitably, the states have errors and the accuracy of control drops. In this paper, quasi-sliding mode control is used to achieve optimal control. First, the state-space model of the system is created by force analysis. Then, in the design of the controller, we make use of the sliding mode control, which has the advantage of anti-interference. To reduce the chattering phenomenon, we utilize saturation function in the reaching low design. The simulation results show the effective of the method

• Periodical: Advanced Materials Research (Volumes 433-440)
• Pages: 3181-3185
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.433-440.3181
• Online since: January 2012
• Authors: Hong Mei Wang, Hou Sheng Zhang
• Keywords: Quasi-Sliding Mode, Single Inverted Pendulum, Stability

References

[1] W. Rekdalsbakken, Intelligent control of an inverted pendulum, Springer Netherlands, 2009, p.235–244.

[2] Chi Tsong Chen, Linear system theory and design. New York Oxford, (1999).

[3] Googol Tech, Googol Pendulum and autocontrol Handbook, (2002).

[4] Leonid Fridman, Arie Levant, Robust Control via Variables Structure and Lyapunov Techniques. 1996, Volume 217, pp: 107-133.

[5] Asif Sabanovic, Leonid M. Fridman, Sarah Spurgeon, Variable Structure System. (2004).

[6] Qionghui Y, Jiqi H, and Hansong W, Variable Structure Control System. Chongqing University Press . (1995).

[7] Jinkun L, MATLAB Simulation for Sliding Mode Control. Tsinghua University Press. (2006).