PID-LQR Combined Linear Controller for Balancing Ballbot: Simulation and Experiment

Nguyen, Van-Dong-Hai and Cu, Minh-Phuoc and Nguyen, Tran-Minh-Nguyet and Huynh, Thanh-Do and Dang, Dinh-Khoi and Hoang, Tan-Dat and Nguyen, Minh-Quan and Vu, Dinh-Dung and Le, Chi-Hai-Duong and Phan, Nguyen-Bao-Long and Bui, Quoc-Duy and Le, Ngoc-Hai and Vo, Duy-Phuc (2024) PID-LQR Combined Linear Controller for Balancing Ballbot: Simulation and Experiment. Journal of Fuzzy Systems and Control, 1 (3). pp. 97-103.

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Abstract

Ballbot is a robotic structure in which the robot self-balances on a ball by rotating wheels. This robot is a popular form of service robot. Developing controllers for this system provides academic tools for reality. In this paper, after presenting the dynamic equations of the ballbot, we design a Proportional Integrated Derivative (PID)-Linear Quadratic Regulator (LQR) combined (PID-LQR) controller to balance the robot on the ball. The simulation results show the success of this method. An experimental model of a ballbot is presented. In the experiment, PID-LQR combined controller also shows its ability to self-balancing for the ballbot. With this finding, a method of controlling this model is a reference for developing this service robot.

Item Type: Article
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Depositing User: JFSC PTTI
Date Deposited: 26 Jun 2026 13:39
Last Modified: 26 Jun 2026 13:39
URI: https://alxiv.org/id/eprint/1164

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