@article {10.3844/ajassp.2009.1106.1115, article_type = {journal}, title = {Real-Time Optimal Control for Rotary Inverted Pendulum}, author = {Sukontanakarn, Viroch and Parnichkun, Manukid}, volume = {6}, year = {2009}, month = {Jun}, pages = {1106-1115}, doi = {10.3844/ajassp.2009.1106.1115}, url = {https://thescipub.com/abstract/ajassp.2009.1106.1115}, 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.}, journal = {American Journal of Applied Sciences}, publisher = {Science Publications} }