LQR controller tuning by using particle swarm optimization

LQR is an optimal controller. Optimal in that it is defined so as to provide the smallest possible error to its input. Q and R matrix of LQR usually selected by trial and error. In two wheeled inverted pendulum robot, the most important variable to control is tilt angle. Therefore in this thesis, th...

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Main Author: M. Lamin Gabasa, Hagag
Format: Thesis
Language:English
Published: 2009
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Online Access:http://eprints.utm.my/id/eprint/12197/6/HagagMLaminMFKE2009.pdf
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spelling my-utm-ep.121972017-09-17T06:56:21Z LQR controller tuning by using particle swarm optimization 2009-11 M. Lamin Gabasa, Hagag TK Electrical engineering. Electronics Nuclear engineering LQR is an optimal controller. Optimal in that it is defined so as to provide the smallest possible error to its input. Q and R matrix of LQR usually selected by trial and error. In two wheeled inverted pendulum robot, the most important variable to control is tilt angle. Therefore in this thesis, the value of Q is firstly set and then R the identity matrix is set. For small rising time and low overshoot for the overall control. After getting good value of Q, the feedback gain K is obtained. By using MATLAB simulink, we simulated new PSO algorithm for the LQR control to select the best Q control matrix. The selection is based on the smallest integral of absolute error of the random Q. From the simulation results, the very challenging controller design for the TWIP control system has been realized by the PSO-based LQ regulator. It is our firm belief that the proposed method is use useful not only for the control of TWIP robot problem but also for other difficult problems. 2009-11 Thesis http://eprints.utm.my/id/eprint/12197/ http://eprints.utm.my/id/eprint/12197/6/HagagMLaminMFKE2009.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Electrical Engineering Faculty of Electrical Engineering 1. Abdollah M.F, Ahmad M.N, Husain A.R, Nawawi S.W and Osman J.H.S(2006). Controller design for Two-wheels Inverted Pendulum Mobile Robot Using PISMC. 4th Student Conference on Research and Development (SCORED 2006). Shah Alam, Malaysia. June 2006. pp-194-199. 2. Ahmad M.N, Nawawi S.W and Osman J.H.S(2007).Development of a Two-Wheeled Inverted Pendelum Mobile Robot. 5th Student Conference on Research and Development (SCORED 2007). Malaysia. December 2007. 3. Ker-Wei, Yu, Zhi-Liang, Huang, LQ Regulator Design Based on Particle Swarm Optimization Ker-Wei, Yu, Member, IEEE, Zhi-Liang, Huang. 2006 IEEE Conference on Systems, Man, and Cybernetics October 8-11, 2006, Taipei, Taiwan 4. J. Kennedy, and R. Eberhart, “Particle swarm optimization,” Proceedings of the IEEE International Conference on Neural Networks, pp. 1942-1948. 1995. 5. Kim, Y.H., Kim, S.H., Kwak, Y.K. ”Dynamic Analysis of a Nonholonomic Two-wheeled Inverted Pendulum Robot”, Proc. of the Eighth Int. Symp. on Artificial Life and Robotics(AROB8th, '03), P.415418, Beppu, Oita, Japan, 24-26 January, 2003. 6. Jixin Qian, Liyan Zhang, Longhua Ma and Yongling Zheng(2003). Robust PID controller design using Particle Swarm Optimizer. Proceeding of the 2003 International Symposium on Intelligent Control. Housan, texas. October 2003. pp-974-979 7. R. C. Eberhart, and Y. Shi, “Particle swarm optimization: developments, applications and resources,” Proceedings of the IEEE Congress on Evolutionary Computation, Seoul, Korea, 2001. 8. Y. H. Lin, Double Link Inverse Pendulum System Swing up and Balance Control. Master Degree Dissertation, National Cheng Kung University, Taiwan, 2003. 9. J. Vondrich, E. Thondel, Modelling of LQR Control with Matlab, 2009 10. Arango, E. Calvente, J. Giral, R. El Aroudi, A. Martinez-Salamero, L. , LQR control of an asymmetrical interleaved boost converter working in inherent DCM, Industrial Electronics, 2005. ISIE 2005. Proceedings of the IEEE International Symposium on, Publication Date: 20-23 June 2005
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic TK Electrical engineering
Electronics Nuclear engineering
spellingShingle TK Electrical engineering
Electronics Nuclear engineering
M. Lamin Gabasa, Hagag
LQR controller tuning by using particle swarm optimization
description LQR is an optimal controller. Optimal in that it is defined so as to provide the smallest possible error to its input. Q and R matrix of LQR usually selected by trial and error. In two wheeled inverted pendulum robot, the most important variable to control is tilt angle. Therefore in this thesis, the value of Q is firstly set and then R the identity matrix is set. For small rising time and low overshoot for the overall control. After getting good value of Q, the feedback gain K is obtained. By using MATLAB simulink, we simulated new PSO algorithm for the LQR control to select the best Q control matrix. The selection is based on the smallest integral of absolute error of the random Q. From the simulation results, the very challenging controller design for the TWIP control system has been realized by the PSO-based LQ regulator. It is our firm belief that the proposed method is use useful not only for the control of TWIP robot problem but also for other difficult problems.
format Thesis
qualification_level Master's degree
author M. Lamin Gabasa, Hagag
author_facet M. Lamin Gabasa, Hagag
author_sort M. Lamin Gabasa, Hagag
title LQR controller tuning by using particle swarm optimization
title_short LQR controller tuning by using particle swarm optimization
title_full LQR controller tuning by using particle swarm optimization
title_fullStr LQR controller tuning by using particle swarm optimization
title_full_unstemmed LQR controller tuning by using particle swarm optimization
title_sort lqr controller tuning by using particle swarm optimization
granting_institution Universiti Teknologi Malaysia, Faculty of Electrical Engineering
granting_department Faculty of Electrical Engineering
publishDate 2009
url http://eprints.utm.my/id/eprint/12197/6/HagagMLaminMFKE2009.pdf
_version_ 1747814905679970304