Commenced in January 2007
Paper Count: 30753
MPSO based Model Order Formulation Scheme for Discrete PID Controller Design
Abstract:This paper proposes the novel model order formulation scheme to design a discrete PID controller for higher order linear time invariant discrete systems. Modified PSO (MPSO) based model order formulation technique has used to obtain the successful formulated second order system. PID controller is tuned to meet the desired performance specification by using pole-zero cancellation and proposed design procedures. Proposed PID controller is attached with both higher order system and formulated second order system. System specifications are tabulated and closed loop response is observed for stabilization process. The proposed method is illustrated through numerical examples from literature.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1071618Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1214
 T. L. Seng, M. B. Khalid and R. Yusof, "Tuning of a neuro-fuzzy controller by genetic algorithm", IEEE Transaction on Systems Manufacturing Cybernetics, Vol. 29. pp. 226-236, 1999.
 A. Visioli, "Tuning of PID controllers with fuzzy logic", Proceedings of Industrial Electrical Engineering Control Theory Application, Vol. 148, pp.1-8, 2001.
 R. A. Krohling and J. P. Rey, "Design of optimal disturbance rejection PID controllers using genetic algorithm", IEEE Transaction on Evolutionary Computation. Vol.5, pp.78-82, 2001.
 G. J. Silva, A. Datta, "New results on the synthesis of PID controllers", IEEE Transactions on Automatic Control, Vol. 47, No. 2, pp. 241-252, 2002.
 C. F. Chen and L. S. Shien, "A novel approach to linear model simplification", International Journal of Control System, Vol. 8, pp. 561-570, 1968.
 V. Zaliin, "Simplification of linear time-invariant system by moment approximation", International Journal of Control System, Vol. 1, No. 8, pp. 455-460, 1973.
 P. O. Gutman, C. F. Mannerfelt and P. Molander, "Contributions to the model reduction problem", IEEE Trans. Auto. Control, Vol. 27, pp. 454- 455, 1982.
 S. Mukherjee, Satakshi and R. C. Mittal, "Model order reduction using response-matching technique", Journal of Franklin Inst., Vol. 342, pp. 503-519, 2005.
 J. Tschauner, "A General Formulation of the Stability Constraints for Sampled Data Control System", IEEE Proceedings, Vol. 51, pp. 613- 621, 1963.
 K. S. Yeung, K. Q. Chaid and D. X. Tien, "Bode design charts for continuous- time and discrete- time compensators", IEEE Transaction on Education", Vol. 38, No. 3, pp. 252-257, 1995.
 M. Zhuang, D. P. Atherton "Automatic tuning of optimum PID controllers", IEEE Proceedings of Control Theory and Applications, Vol. 140, No. 3, pp. 216-224, 1993.
 K. Rattan, "Digitalization of existing continuous control system", IEEE Trans. Auto. Control, Vol. 29, pp. 282- 285, 1984.
 H. Inooka, G. Obinata and M. Takeshima, "Design of a digital controller based on series expansions of pulse transfer functions", Journal of Dynamic systems, Measurement and Control, Vol. 105, No. 3, pp. 204- 207, 1983.
 L. A. Aguirre, "PID tuning based on model matching", IEEE Electronics Letter, Vol. 28, No. 25, pp. 2269-2271, 1992.
 A. Varsek, T. Urbacic and B. Filipic, "Genetic Algorithms in Controller Design and Tuning", IEEE Transaction on Sys. Man and Cyber, Vol. 23, No.5, pp.1330-1339, 1993.
 Z. L. Gaing, "A particle swarm optimization approach for optimum design of PID controller in AVR system", IEEE Transaction on Energy Conversion, Vol.19, No.2, pp.384-391, 2004.
 J. Zhao, T. Li, J. Qian, "Application of particle swarm optimization algorithm on robust PID controller tuning", Advances in Natural Computation - Springer, pp.948-957, 2005.
 M. Gopal , "Control systems principle and design", Tata McGraw Hill Publications, New Delhi, 1997.
 B. C. Kuo and F. Golnaraghi, "Automatic control system", John Wiley, 2003.
 R. C Eberhart and Y. Shi, "Particle Swarm Optimization: Developments applications and resourses", Proceedings Congress on Evolutionary Computation IEEE service, NJ, Korea, 2001.
 S. N. Deepa and G. Sugumaran, "MPSO based model order formulation technique for SISO continuous system", International Journal of Engineering and Applied Science, Vol. 7, No. 3, pp. 125-130,2011.
 O. A. Sebakhy and M.N. Aly, "Discrete-time Model Reduction with Optimal Zero Locations by Non-minimization," IEEE Proceeding of Control Theory and Application, Vol. 145, No. 6, pp. 499-506, November 1998.
 R. Prasad, "Order reduction of discrete time using stability equation method and weighted time moments", IE (I) journal, Vol.74, pp.94-99, 1993.
 S.K.Tomar and R.Prasad, "Conventional and PSO based approaches for Model order reduction of SISO Discrete systems", International journal of electrical and electronics Engineering, Vol.2, pp.45-50, 2009.
 S.Panda, S.K. Tomar, R.Prasad, C.Ardil, "Model reduction of linear systems by conventional and evolutionary techniques", International Journal of Computational and Mathematical Science, Vol.3, No.1, pp. 28-34, 2009.