ROBOTICA & MANAGEMENT - Vol. 25, No. 2, December 2020, pp. 21-27

PID Control for Experimental Flexible Inverted Pendulum


Minh-Tam Nguyen, Van-Dong-Hai Nguyen *

Ho Chi Minh City University of Technology and Education (HCMUTE)
Vo Van Ngan street, No. 01, Thu Duc district, Ho Chi Minh City, Vietnam
* Corresponding author. E-mail: hainvd@hcmute.edu.vn

Abstract: Flexible inverted pendulum is distributed parameter SIMO system which is developed from cart and pole, a popular robot with all solid links. A structure of PID controller for this model is suggested. Approximated dynamic equations of this model is used to obtain the PID controller by genetic algorithm through simulation. After survey in simulation, a hardware platform is presented and tested. In experiment, PID is proven to work well and suit most theoretical points.

Keywords: Flexible inverted pendulum, inverted pendulum on cart, distributed parameter system, PID control, genetic algorithm.

Full Text

References

[1] Jadlovska S., Sarnovsky J., Vojtek J., Voscek D.:  “Advanced Generalized Modeling of Classical Inverted Pendulum Systems”, Emergent Trends in Robotics and Intelligent Systems, pp. 255-264, AISC, Vol. 316, 2015.

[2] Jiali T., Gexue R.: “Modeling and Simulation of a Flexible Inverted Pendulum System”, Tsinghua Science and Technology, ISSN: 1007-0214, pp. 22-26, Vol. 14, Nr. S2, 2009.

[3] Xu T., Zhang C.: “Multi-level Linear Flexible Inverted Pendulum Modeling”, Applied Mechanics and Materials, ISSN: 1662-7482, Vol. 518, pp. 290-296, 2014.

[4] Kharola A., Patil P.: “Fuzzy Hybrid Control of Flexible Inverted Pendulum (FIP) System using Soft-computing Techniques”, Pertanika Journal of Science & Technology, 25(4): 1189-1202, 2017.

[5] Nguyen M.H., Ngo V.T., Nguyen M.T., Le T.T.H., Nguyen V.D.H.: “Designing Linear Feedback Controller for Elastic Inverted Pendulum with Tip Mass”, Robotica & Management, Vol. 21, No. 2, 2016.

[6] Gorade S.K., Kurode S.R.: “Mathematical Modeling of Flexible Inverted Pednulum on Cart with Tip Mass”, 27th Chinese Control and decision Conference, pp. 5584-5589, IEEE, 2015.

[7] Hong J.-R.: “Balance Control of a Car-Pole Inverted Pendulum System”, Master Thesis, National Chengkung University, Taiwan, 2002.

[8] Hoang H.T.: “He thong dieu khien thong minh”, Nha xuat ban Dai Hoc Quoc Gia TP.HCM, 2014.