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Reseach Article

Eigen Value Analysis of Optimal Controller Design of Wheeled Autonomous Mobile Robot

by Shahida Khatoon, Kaukab Naz, Ibraheem
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 103 - Number 17
Year of Publication: 2014
Authors: Shahida Khatoon, Kaukab Naz, Ibraheem
10.5120/18293-9211

Shahida Khatoon, Kaukab Naz, Ibraheem . Eigen Value Analysis of Optimal Controller Design of Wheeled Autonomous Mobile Robot. International Journal of Computer Applications. 103, 17 ( October 2014), 13-18. DOI=10.5120/18293-9211

@article{ 10.5120/18293-9211,
author = { Shahida Khatoon, Kaukab Naz, Ibraheem },
title = { Eigen Value Analysis of Optimal Controller Design of Wheeled Autonomous Mobile Robot },
journal = { International Journal of Computer Applications },
issue_date = { October 2014 },
volume = { 103 },
number = { 17 },
month = { October },
year = { 2014 },
issn = { 0975-8887 },
pages = { 13-18 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume103/number17/18293-9211/ },
doi = { 10.5120/18293-9211 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T22:34:52.892831+05:30
%A Shahida Khatoon
%A Kaukab Naz
%A Ibraheem
%T Eigen Value Analysis of Optimal Controller Design of Wheeled Autonomous Mobile Robot
%J International Journal of Computer Applications
%@ 0975-8887
%V 103
%N 17
%P 13-18
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The autonomous wheeled mobile robots (AWMR) are subjected to high demands concerning stability, controllability and safety. Therefore, it becomes very important to devise the effective and efficient control strategies for such system to get desired system dynamic performance. In this paper the state space model of the system has been developed, the dynamic behavior of the system has been studied and then optimal controllers are designed using full state feedback control strategy. The optimal controllers are designed for various operating conditions using pole placement technique. The dynamic response plots are obtained for various system states considering various operating conditions. The investigations of these reveal that the implementation of optimal controllers offer not only good dynamic performance, also ensure system dynamic stability.

References
  1. KoheiWakita,Jian Huang, Pei Di, KosukeSekiyama, and Toshio Fukuda,"Human-Walking Intention-Based Motion Control of an Omnidirectional-Type Cane Robot", IEEE/ASME Transactions on Mechatronics, vol. 18, no. 1, pp 285-297, February 2013
  2. Kazuo Tanaka, HiroshiOhtake,, Toshiaki Seo, Motoyasu Tanaka, and Hua O. Wang, "Polynomial Fuzzy Observer Designs:A Sum-of-Squares Approach. " IEEE Transactions on Systems, Man, and Cybernetics—part B: Cybernetics, vol. 42, no. 5,pp 1330-1343, October 2012
  3. ChristianO'Reilly,and RéjeanPlamondon,"A Globally Optimal Estimator for the Delta Lognormal Modelling of Fast Reaching Movements", IEEE Transactions on Systems, Man, and Cybernetics—part B: Cybernetics, vol. 42, no. 5,pp 1428-1443, October 2012
  4. Liyuan Li, Shuicheng Yan, , Xinguo Yu, YeowKee Tan and Haizhou Li, "Robust Multiperson Detection and Tracking for Mobile Service and Social Robots", IEEE Transactions on Systems, Man, and Cybernetics—part B: Cybernetics, vol. 42, no. 5,pp 1398-1413, October 2012
  5. Math Works, User`s guide
  6. SovannaraHak, Nicolas Mansard, Olivier Stasse, and Jean Paul Laumond ,"ReversControl for Humanoid Robot Task Recognition", IEEE Transactions on Systems, Man, and Cybernetics -part B: Cybernetics, vol. 42, no. 6,1524-1538, December 2012
  7. JuntaoFei and JianZhou, "Robust Adaptive Control of MEMS Triaxial Gyroscope Using Fuzzy Compensator" IEEE Transactions on Systems, Man, and Cybernetics part B: Cybernetics, vol. 42, no. 6, December 2012 pp 1595- 1599
  8. Biao Luo and Huai-Ning Wu , "Approximate Optimal Control Design for Nonlinear One-Dimensional Parabolic PDE Systems Using Empirical Eigen functions and Neural Network", IEEE Transactions on Systems, Man, and Cybernetics—part B: Cybernetics, vol. 42, no. 6,pp 1538-1550, December 2012
  9. Qi Zhou,Peng Shi, Honghai Liu, and ShengyuanX,"Neural-Network Based Decentralized Adaptive Output-Feedback Control for Large-Scale Stochastic Nonlinear Systems. " IEEE Transactions on Systems, Man, and Cybernetics—part B: Cybernetics, vol. 42, no. 6, pp 1608-1620 December 2012
  10. Xiaojie Su, StudenLigang Wu, Peng Shi, and Yong-Duan Song,"H? Model Reduction of Takagi–Sugeno Fuzzy Stochastic Systems", IEEE Transactions on Systems, Man, and Cybernetics—part B: Cybernetics, Vol. 42, No. 6, pp 1574-1586, December 2012
  11. AlinDrimusa, GertKootstra b, Arne Bilberg ,DanicaKragic b , "Design of a flexible tactile sensor for classification of rigid and deformable objects. " Robotics and Autonomous Systems 2012 Elsevier
  12. N. M. Abdul Ghani, L. K. Haur, T. P. Yon, F Naim , "Dual Mode Navigation for Two-Wheeled Robot. " World Academy of Science, Engineering and Technology, vol. 58, pp 278-283, 2011
  13. Enaiyat Ghan, I Ovy, ShakeelSeeraji,S. M. Firdousand MohammadRokonuzzaaman, "A Novel Design Of An Atmega 32 L Microcontroller Based Controller Circuit for The Motion Control Of Robot Arm Actuated by DC Motors", Journal of selected areas in robotics (JSRC), pp-1-8, April-2011,
  14. UmarFarooq, Muhammed Amar, EitzazulHaq, MuhammedUsmanAsad,HafizMuhammedAtiq, "Microcontroller based Neural Network Controlled Low Cost Autonomous Vehicle", Second International Conference on Machine Learning and Computing, pp 96-100, IEEE-2010
  15. Donglin Wang, SandeepChandana, Renlun He, Jiuqiang Han, Xiangyu Zhu, KeZou and Yong He,"Intelligent Sensor Design in Network based Automatic Control" Second International Conference on Machine Learning and Computing, IEEE-2010
  16. Jia-Sheng Hu, Mi-Ching Tsai, Feng-Rung Hu, and Yoichi Hori , "Robust Control For Coaxial Two-wheeled Electric vehicle", Journal of Marine Science and Technology, Vol. 18, No. 2, pp. 172-180 ,2010
  17. Aribowo A. G. , Nazaruddin Y. Y. , Joelianto E. , Sutarto H. Y. ,2007, "Stabilization of Rotary Double Inverted Pendulum using Robust Gain-Scheduling Control", SICE Annual Conference 2007 Sept. 17-20, 2007, Kagawa University, Japan, IEEE.
  18. Cheng Fuyan, Zhong Guomin, Li Youshan, Xu Zhengming, "Fuzzy Control of a Double-Inverted Pendulum", Fuzzy Sets and Systems no. 79 ,1996 pp 315-321.
  19. Wang Luhao, Sheng Z , "LQR-Fuzzy Control for Double Inverted Pendulum" 2010 International Conference on Digital Manufacturing & Automation, pp 900-904, China
  20. Lal Bahadur Prasad , Barjeev Tyagi and Hari Om Gupta , "Optimal Control of Nonlinear Inverted Pendulum Dynamical System with Disturbance Input using PID Controller & LQR", 2011 IEEE International Conference on Control System, Computing and Engineering pp 540-546
  21. Yong Li and Jianchang Liu Yu Wang, "Design Approach of Weighting Matrices for LQR Based on Multi-objective evolution Algorithm", Proceedings of the 2008 IEEE International Conference on Information and Automation June 20-23, 2008, pp 1188-1193, Zhangjiajie , China
  22. Danai Phaoharuhansa and A kira Shimada , "Trajectory Tracking for Wheeled Inverted Pendulum Robot using Tilt Angle Control", IEEE Transactions on Systems, Man and Cybernetics, vol. 2, pp 4286-4292, 2013
  23. Amir A. , Bature, Salinda Buyamin, Mohamed. N. Ahmad, Mustapha Muhammad, "A Comparison of Controllers for Balancing Two Wheeled Inverted Pendulum Robot, "International Journal of Mechanical & Mechatronics Engineering", IJMME-IJENS vol:14 no:03 pp -62-69, June 2014
  24. Witold Pawlus, and Hamid Reza Karimi, "Modelling and Control of an Autonomous Mobile robot", International Science Press, December 2012, pp 125-154
Index Terms

Computer Science
Information Sciences

Keywords

Autonomous wheeled mobile robot (AWMR) Linear quadratic regulator (LQR) Error weighting matrix Q Control weighting matrix R