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Effect of Adaptation Gain on system Performance for Model Reference Adaptive Control Scheme using MIT Rule

Authors: Pankaj Swarnkar, Shailendra Jain, R.K Nema


Adaptive control involves modifying the control law used by the controller to cope with the fact that the parameters of the system being controlled change drastically due to change in environmental conditions or in system itself. This technique is based on the fundamental characteristic of adaptation of living organism. The adaptive control process is one that continuously and automatically measures the dynamic behavior of plant, compares it with the desired output and uses the difference to vary adjustable system parameters or to generate an actuating signal in such a way so that optimal performance can be maintained regardless of system changes. This paper deals with application of model reference adaptive control scheme in first order system. The rule which is used for this application is MIT rule. This paper also shows the effect of adaptation gain on the system performance. Simulation is done in MATLAB and results are discussed in detail.

Keywords: Adaptive control system, Adaptation gain, MIT rule, Model reference adaptive control.

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[1] Karl J. Astrom, Bjorn Wittenmark, "Adaptive control" , 2nd ed. Pearson Education Asia, 2001, pp185-225.
[2] Rey-Chue Hwang, Huang-Chu Huang, Wei-Shen Chi, "A New Fuzzy PID-Like Controller", IEEE international conference on systems, man, cybernetics, vol. 5, 2000.
[3] K. S. Tang, Kim Fung Man, Guanrong Chen, Sam Kwong, "An Optimal Fuzzy PID Controller", IEEE Transactions on industrial electronics, vol. 48, No. 4, August 2001.
[4] K.L. Lo and M.O. Sadegh, "Systematic method for the design of a full-scale fuzzy PID stability controller for svc to control power system", IEEE transaction on generation transmission and distribution Vol. 150, 2003.
[5] E. M. Jafarov, M. N. A. Parlakçı, and Y. Istefanopulos, "A New Variable Structure PID-Controller Design for Robot Manipulators", IEEE Transactions on control system technology, VOL. 13, NO. 1, January 2005.
[6] Tae-Yong Choi, Kap-Ho Seo, Jin-ho ShinÜ, Ju-Jang Lee, "The Hybrid SOF-PID Controller for a MIMO Nonlinear System", Proceedings of the 2005 IEEE/ASME, International Conference on Advanced Intelligent Mechatronics Monterey, California, USA, 24- 28 July, 2005.
[7] Baozhu Jia, Guang Ren and Gang Long, "Design and Stability Analysis of Fuzzy Switching PID Controller", 6th World Congress on Intelligent Control and Automation, June 21 - 23, 2006, Dalian, China.
[8] Ahmed Rubaai, Marcel J. Castro-Sitiriche, Abdul Ofoli, "DSP-Based Implementation of Fuzzy-PID Controller Using Genetic optimization for High Performance Motor Drives", IEEE international conference on industry applications, 2007.
[9] Ahmed Rubaai, Marcel J. Castro-Sitiriche, and Abdul R. Ofoli, "DSP-Based Laboratory Implementation of Hybrid Fuzzy-PID Controller Using Genetic Optimization for High-Performance Motor Drives", IEEE Transactions on industry applications, vol. 44, No. 6, November/December 2008.
[10] Dan Sun, Jun Meng, "A Single Neuron PID Controller Based PMSM DTC Drive System Fed by Fault Tolerant 4-Switch 3-Phase Inverter", IEEE international conference on industrial electronics and applications, 2006.
[11] Jianjun Yao , Liquan Wang ,Caidong Wang, Zhonglin Zhang and Peng Jia, "ANN-based PID Controller for an Electro-hydraulic Servo System", IEEE International Conference on Automation and Logistics Qingdao, China September 2008.
[12] Xue-Kui Wang, Xu-Hong Yang, Gang Liu, Hong Qian, "Adaptive Neuro- Fuzzy inference system PID controller for SG water level of nuclear power plant", Proceedings of the Eighth International Conference on Machine Learning and Cybernetics, Baoding, 12-15 July 2009.
[13] K. Benjelloun, H. Mechlih and E.K. boukas, "A modified model reference adaptive control algorithm for DC servomotor", second IEEE conference on control applications, September 13-16, 1993 Vancouver, B.C.
[14] M.S.Ehsani, "Adaptive Control of Servo Motor by MRAC Method", IEEE international conference on vehicle, power and propulsion, 2007.
[15] Mukesh kirar, Pankaj Swarnkar, Shailendra Jain, R.K.Nema, "Comparative study of conventional and adaptive schemes for DC servomotors", International conference on Energy Engineering ICEE, Puducherry, India, Jan 2009.
[16] H. D. Patino and Derong Liu, "Neural network-based model reference adaptive control system", IEEE transaction on systems, man, and cybernatics-part B: cybernatics, vol.30, No. 1, February 2000.
[17] Qian Sang and Gang Tao, "Gain margins of model reference adaptive control systems", 7th world congress on intelligent control and automation, June 25-27, 2008, Chongqing, china.
[18] Pin-Yan Tsai, Hung Chu huang, Yu-Ju-Chen, Rey-Chue Hwang, "The model reference control by auto tuning PID-like Fuzzy controller", International conference on control applications Taipei, Taiwan, September 2-4, 2004.
[19] Maurizio cirrincione, Marcello Pucci, "An MRAS-based sensorless high performance induction motor drive with a predictive adaptive model", IEEE transaction on industrial electronics, vol. 52, No. 2, April 2005.
[20] Kuo-Ming Chang, "Model reference adaptive control for uncertain systems with sector-like bounded nonlinear inputs", International conference on control and automation, June 27-29, 2005, Budapest, Hungary.
[21] Lei zuo, Jean-Jacques E. slotine, Samir a. Nayfeh, "Model reaching adaptive control for vibration Isolation", IEEE transaction on control systems technology, vol. 13, No. 4, July 2005.
[22] Shen Qingbo, Ding Yuanming, "A model reference adaptive controller design for discrete Hammerstein systems", 26th Chinese control conference, July 26-31, 2007, Zhangjiajie, hunan, China.
[23] M.T. Benchouia, A.Ghamri, M.E.H. Benbouzid, a. Golea, S.E. Zouzou, "Fuzzy model reference adaptive control of power converter for unity power factor and harmonics minimization", International conference on electrical machine and system ,October 8-11, 2007, Seoul, Korea.
[24] T.John Koo, "Stable Model Reference Adaptive Fuzzy Control of a Class of Nonlinear Systems" IEEE Transactions on fuzzy systems, Vol. 9, No. 4, August 2001.
[25] Yuan-Rui Chen Jie Wu, Norbert C. Cheung, "Lyapunov-s Stability Theory- Based Model Reference Adaptive Control for Permanent Magnet Linear Motor Drives", 1st IEEE international conference on power electronics system and applications, 2004.
[26] Kuo-Kai Shyu, Ming-Ji Yang, Yen-Mo Chen, and Yi-Fei Lin, "Model reference adaptive control design for a shunt active-power-filter system", IEEE Transactions on industrial electronics, vol. 55, No. 1, January 2008.
[27] Ding Yuan, Timothy Chang, "Model reference input shaper design with applications to a high speed robotic workcell with variable loads", IEEE transaction on industrial electronics, vol. 55, No. 2, February 2008.
[28] M-arcio Stefanello, Jo˜ao Marcos Kanieski , Rafael Cardoso and Hilton Ab'ılio Gr¨undling, "Design of a Robust Model Reference Adaptive Control for a Shunt Active Power Filter", 34th IEEE international conference on industrial electronics 2008.
[29] HongZhe Jin and JangMyung Lee, "An RMRAC current regulator for permanent-magnetbsynchronous motor based on statistical model interpretation", IEEE transaction on industrial electronics, vol. 56, No. 1, January 2009.
[30] Francisco Jurado, Jose Ramon Saenz, "Adaptive control of a fuel cell-microturbine hybrid power plant", IEEE transactions on energy conversion, vol. 18, No. 2, June 2003.
[31] Bin Wu and Om P. Malik, "Multivariable adaptive control of synchronous machines in a multimachine power system", IEEE transactions on power system, vol. 21, No. 4, November 2006.
[32] Teresa Orlowska-Kowalska, Krzysztof, "Control of the drive system with stiff and elastic coupling using adptive neuro-fuzzy approach" IEEE transaction on industrial electronics, vol. 54, No. 1, February 2007.
[33] Zhenhua Jiang, Lijun Gao, Roger A. Dougal, "Adaptive control strategy for active power sharing in hybrid fual cell/battery power sources", IEEE transactions on energy conversion, vol. 22, No. 2, June 2007.
[34] Daniel salomonsson, Lennart soder, Ambra sannino, "An adaptive control system for a DC microgrid for Data Centers", IEEE transaction on industry applications, vol. 44, No. 6, November/December 2008.