LQR Based PID Controller Design for 3-DOF Helicopter System

Authors: Santosh Kr. Choudhary

Abstract:

In this article, LQR based PID controller design for 3DOF helicopter system is investigated. The 3-DOF helicopter system is a benchmark laboratory model having strongly nonlinear characteristics and unstable dynamics which make the control of such system a challenging task. This article first presents the mathematical model of the 3DOF helicopter system and then illustrates the basic idea and technical formulation for controller design. The paper explains the simple approach for the approximation of PID design parameters from the LQR controller gain matrix. The simulation results show that the investigated controller has both static and dynamic performance, therefore the stability and the quick control effect can be obtained simultaneously for the 3DOF helicopter system.

Keywords: 3DOF helicopter system, PID controller, LQR controller, modeling, simulation.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1096105

References:

[1] 3DOF Helicopter Experiment manual, Googol Technology Ltd., Kowloon, Hon Kong, 2009.
[2] H. Rios, A. Rosales, A. Ferreira, and A. Davilay, "Robust regulation for a 3-dof helicopter via sliding-modes control and observation techniques,” in American Control Conference (ACC), 2010, June 2010, pp. 4427–4432.
[3] S. Lee, C. Ha, and B. Kim, "Adaptive nonlinear control system design for helicopter robust command augmentation,” Aerospace Science and Technology, vol. 9, no. 3, pp. 241 – 251, 2005.
[4] J. Gao, X. Xu, and C. He, "A study on the control methods based on 3-dof helicopter model.” journal of Computers, vol. 7, no. 10, pp. 2526–2533, 2012.
[5] A. Boubakir, S. Labiod, F. Boudjema, and F. Plestan, "Design and experimentation of a self-tuning pid control applied to the 3dof helicopter,” Archives of Control Sciences, vol. 23, no. 3, pp. 311–331, 2013.
[6] Z. Liu, Z. Choukri El Haj, and H. Shi, "Control strategy design based on fuzzy logic and lqr for 3-dof helicopter model,” in Intelligent Control and Information Processing (ICICIP), 2010 International Conference on, Aug 2010, pp. 262–266.
[7] E. N. Sanchez, H. Becerra, and C. Velez, "Combining fuzzy and pid control for an unmanned helicopter,” in Fuzzy Information Processing Society, 2005. NAFIPS 2005. Annual Meeting of the North American, June 2005, pp. 235–240.
[8] M. Boukhnifer, A. Chaibet, and C. Larouci, "H-infinity robust control of 3-dof helicopter,” in Systems, Signals and Devices (SSD), 2012 9th International Multi-Conference on, March 2012, pp. 1–6.
[9] Z. Yujia, N. Mohamed, N. Hazem, and A. Yasse, "Model predictive control of a 3-dof helicopter system using successive linearization,” International Journal of Engineering, Science and Technology, vol. 2, no. 310, pp. 9–19, 2010.
[10] D. S. Naidu, Optimal Control Systems. CRC Press, 2002.