Application of Genetic Algorithm in Optimizing LQR Control for Ball and Beam

Author:

,Tran Nguyen-Dang-KhoaORCID,Nguyen Minh-Quan, ,Le Tuan-Kiet, ,Bui Duy-Khanh, ,Le Thanh-Vinh, ,Vo Thi-Ngoc-Thi, ,Nguyen Thi-Toi, ,Pham Ngo-Quoc-Bao,

Abstract

In this paper, we apply genetic algorithm (GA) to optimize LQR controller – a linear control algorithm which stability is guaranteed by mathematics. This searching algorithm proves its ability in finding better control parameters through generations. Our model is ball and beam (B&B) – a classical single input – multi output (SIMO) system. This system is balanced around equilibrium point in simulation.

Publisher

Babes-Bolyai University Cluj-Napoca

Reference10 articles.

1. "[1] Shixuan, Y. et al.: "Research on Solving Nonlinear Problem of Ball and Beam System by Introducing Detail-Reward Function", Symmetry, 2022.

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3. [3] Gergely B. et al: "Establishing metrics and control laws for the learning process: ball and beam balancing", Biological Cybernetics, pp. 114, 2020.

4. [4] Le A.T. Tran N.D.K: "Applying a Genetic Algorithm to optimize Linear Quadratic Regulator for Ball and Beam system", The 7th International Conference on Advanced Engineering - Theory and Applications, Ton Duc Thang University, 2022.

5. [5] Liqing G., Yongxin L: "Design of BP neural network controller for ball-beam system", IEEE Advanced Information Management, Communicates, Electronic and Automation Control Conference (IMCEC), 2016.

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