American Journal of Applied Sciences

Real-Time Optimal Control for Rotary Inverted Pendulum

Viroch Sukontanakarn and Manukid Parnichkun

DOI : 10.3844/ajassp.2009.1106.1115

American Journal of Applied Sciences

Volume 6, Issue 6

Pages 1106-1115

Abstract

Problem statement: The rotary inverted pendulum system was a highly nonlinear model, multivariable and absolutely unstable dynamic system. It was used for testing various design control techniques and in teaching modern control. The objectives of this study were to: (i) Develop a real rotary inverted pendulum which derived the mechanical model by using Euler-Lagrange and (ii) Design controller algorithm for self-erecting and balancing of a rotary inverted pendulum. Approach: Research shown a convenient way to implement a real-time control in self-erecting a pendulum from downward position and balancing the pendulum in vertical-upright position. An Energy based on PD controller was applied in self-erecting of the pendulum while LQR controller was applied to balance the pendulum. Results: Results of both control techniques from computer simulation and experiment were given to show the effectiveness of these controllers. Conclusion: Both simulations and experiments were confirmed the control efficiency of the method.

Copyright

© 2009 Viroch Sukontanakarn and Manukid Parnichkun. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.