After having enjoyed an increasingly great popularity in Japan during the last two decades, Fuzzy Logic Control (FLC) systems have been investigated in many technical and industrial applications as a powerful modeling tool that can cope with the uncertainties and nonlinearities of modern control systems. Conventional control depends on the mathematical model of the plant being controlled. FLCs have become popular because they do not necessarily require a theoretical model of the plant which is to be controlled. The main drawback of these FLC methodologies in the industrial environment is the number of tuning parameters to be selected. Inspired by the classical particle swarm optimization (PSO) method and quantum mechanics theories, this work presents a novel Quantum-behaved PSO approach using Gaussian distribution (G-QPSO) to tune the design parameters of a FLC with PID (Proportional-Integral-Derivative) conception. The FLC-PID design has been applied to a control valve with nonlinear dynamic behavior. Numerical results presented here indicate that proposed FLC-PID design with G-QPSO is effective for the control of reactor.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Äström, K. J. and Hägglund, T., The future of PID control, Control Engineering Practice 9(11), 1163–1175, 2001.
Baptista, L. F., Sousa, J. M. and Costa, J. M. G. S., Fuzzy predictive algorithms applied to real-time force control, Control Engineering Practice 9(4), 411–423, 2001.
Carvajal, J., Chen, G. and Ogmen, H., Fuzzy PID controller: design, performance, evaluation and stability analysis, Information Sciences 123(3–4), 249–270, 2000.
Chang, Y. C., Adaptive fuzzy-based tracking control for nonlinear SISO systems via VSS H8 approaches, IEEE Transactions on Fuzzy Systems 9(2), 278–292, 2001.
Chen, G., Conventional and fuzzy PID controllers: an overview, International Journal of Intelligent Control and Systems 1(2), 235–246, 1996.
Cho, H. -J., Cho, K. -B. and Wang B. -H., Fuzzy-PID hybrid control: automatic rule generation using genetic algorithms, Fuzzy Sets and Systems 92(3), 305–316, 1997.
Cho, Y. -W., Park, C. -W. and Park, M., An indirect model reference adaptive fuzzy control for SISO Takagi-Sugeno model, Fuzzy Sets and Systems 131(2), 197–215, 2002.
Chou, C. -H., Genetic algorithm-based optimal fuzzy controller design in the linguistic space, IEEE Transactions on Fuzzy Systems 14(3), 372–395, 2006.
Clerc, M. and Kennedy, J. F., The particle swarm: explosion, stability and convergence in a multi-dimensional complex space, IEEE Transactions on Evolutionary Computation 6(1), 58–73, 2002.
Coelho L.S. and Coelho A. A. R., Fuzzy PID controllers: structures, design principles and application for nonlinear practical process, Advances in Soft Computing–Engineering Design and Manufacturing, Roy, R., Furushashi, T. and Chawdhry, K. (eds.), Springer, London, UK, 147–159, 1999.
Coelho, L. S., A quantum particle swarm optimizer with chaotic mutation operator, Chaos, Solitons and Fractals (in press), 2007.
CordĂ³n, O., Gomide, F., Herrera, F., Hoffmann, F. and Magdalena, Ten years of genetic fuzzy systems: current framework and new trends, Fuzzy Sets and Systems 141(1), 5–31, 2004.
Eberhart R.C. and Kennedy J. F., A new optimizer using particle swarm theory, Proceedings of International Symposium on Micro Machine and Human Science, Japan, 39–43, 1995.
Feng, G., A survey on analysis and design of model-based fuzzy control systems, IEEE Transactions on Fuzz Systems 14(5), 676–697, 2006
Golob, M., Decomposed fuzzy proportional-integral-derivative controllers, Applied Soft Computing 1(3), 201–214, 2001
Higashi, N. and Iba, H., Particle swarm optimization with gaussian mutation. Proceedings of the IEEE Swarm Intelligence Symposium, Indianapolis, IN, USA, 72–79, 2003.
Hirota, K. and Sugeno, M., Industrial Applications of Fuzzy Technology in the World, Advances in Fuzzy Systems: Applications and Theory, vol. 2, Singapore, World Scientific, 1995.
Hogg, T. and Portnov, D. S., Quantum optimization, Information Sciences 128(3–4), 181–197, 2000.
Hu, B., Mann, G. K. I. and Gosine, R. G., New methodology for analytical and optimal design of fuzzy PID controllers, IEEE Transactions on Fuzzy Systems 7(5), 521–539, 1999.
Isermann, R. On fuzzy logic applications for automatic control, supervision and fault diagnosis, IEEE Transactions on Systems, Man and Cybernetics – Part B: Cybernetics 28(2), 221–235, 1998.
Kennedy, J. F. and Eberhart, R.C., Particle swarm optimization, Proceedings of IEEE International Conference on Neural Networks, Perth, Australia, 1942–1948, 1995.
Kennedy, J. F., Bare bones particle swarms, Proceedings of the IEEE Swarm Intelligence Symposium, Indianapolis, IN, USA, 80–87, 2003.
Koo, K. -M., Stable adaptive fuzzy controller with time-varying dead-zone, Fuzzy Sets and Systems 121(1), 161–168, 2001.
Krohling, R. and Coelho, L. S. Coevolutionary particle swarm optimization using Gaussian distribution for solving constrained optimization problems, IEEE Transactions on Systems, Man and Cybernetics, Part B: Cybernetics 36(6), 1407–1416, 2006
Krohling, R., Coelho, L. S. PSO-E: particle swarm with exponential distribution, IEEE World Congress on Computational Intelligence, Proceedings of IEEE Congress on Evolutionary Computation, Vancouver, Canada, 5577–5582, 2006.
Kukolj, D. D., Kuzmanovic, S. B. and Levi E., Design of a PID-like compound fuzzy logic controller, Engineering Applications of Artificial Intelligence 14(6), 785–803, 2001.
Kwok, D. P., Tam, P., Li, C. K. and Wang, P., Linguistic PID controllers, Proceedings of 11th World Congress of IFAC, Tallin, Estonia, USSR, vol. 7, 192–197, 1990.
Levin, F. S., An introduction to quantum theory, Cambridge University Press, 2002.
Li, H. X. and Gatland, H. B., Enhanced methods of fuzzy logic control. Proceedings of FUZZ-IEEE/IFES, vol. 1, Yokohama, Japan, 331–336, 1995.
Li, H. X., Zhang, L., Cai, K. Y. and Chen, G., An improved robust fuzzy-PID controller with optimal fuzzy reasoning, IEEE Transactions on Systems, Man and Cybernetics – Part B: Cybernetics 35(6), 1283–1294, 2005.
Li, Y. and Ng, K. C., Reduced rule-base and direct implementation of fuzzy logic control, Proceedings of 13th World Congress of IFAC, San Francisco, CA, USA, 85–90, 1997.
Lin, J. -M., Huang, S. -J. and Shin, K. -R., Application of sliding surface-enhanced fuzzy control for dynamic state estimation of a power system, IEEE Transactions on Power Systems 18(2), 570–577, 2003.
Liu, J., Xu, W. and Sun, J., Quantum-behaved particle swarm optimization with mutation operator, Proceedings of 17th International Conference on Tools with Artificial Intelligence, Hong Kong, China, 2005.
Mamdani, E. and Assilian, S., An experiment in linguistic synthesis with a fuzzy logic controller, International Journal on Man Machine Studies 7(1), 1–13, 1975.
Mann, G. K. I., Hu, B. -G. and Gosine, R. G., Analysis of direct action fuzzy PID controller structures, IEEE Transactions on Systems, Man and Cybernetics - Part B: Cybernetics 29(3), 371–388, 1999.
Marseguerra, M., Zio, E. and Cadini, F., Genetic algorithm optimization of a model-free fuzzy control system, Annals of Nuclear Energy 32(7), 712–728, 2005.
Misir, D., Malki, H. A. and Chen, G., Design and analysis of a fuzzy proportional-integral-derivative controller, Fuzzy Sets and Systems 79(3), 297–314, 1996.
Pang, X. F., Quantum mechanics in nonlinear systems. World Scientific Publishing Company, River Edge, NJ, USA, 2005.
Passino, K. M. and S. Yurkovich, Fuzzy Control, Addison Wesley, Menlo Park, CA, USA, 1998.
Protopescu, V. and Barhen, J., Solving a class of continuous global optimization problems using quantum algorithms, Physics Letters A 296, 9–14, 2002.
Qiao, W. Z. and Mizumoto, M., PID type fuzzy controller and parameters adaptive method, Fuzzy Sets and Systems 78(1), 23–35, 1996.
Qin, S. J., Auto-tuned fuzzy logic control, Proceedings of the American Control Conference, Baltimore, Maryland, USA, 2465–2469, 1994.
Sala, A., Guerra, T. M. and Babuska, R., Perspectives of fuzzy systems and control, Fuzzy Sets and Systems 156(3), 432–444, 2005.
Schweizer, W., Numerical quantum dynamics, Hingham, MA, USA, 2001.
Secrest, B. R. and Lamont, G. B., Visualizing particle swarm optimization – gaussian particle swarm optimization, Proceedings of the IEEE Swarm Intelligence Symposium, Indianapolis, IN, USA, 198–204, 2003.
Serra, G. L. O. and Bottura, C. P., Multiobjective evolution based fuzzy PI controller design for nonlinear systems, Engineering Applications of Artificial Intelligence 19(2), 157–167, 2006.
Shayeghi, H., Shayanfar, H. A. and Jalili, A., Multi-stage fuzzy PID power system automatic generation controller in deregulared environments, Energy Conversion and Management 47(18–19), 2829–2845, 2006.
Sio, K. C. and Lee, C. K., Stability of fuzzy PID controllers, IEEE Transactions on Systems, Man and Cybernetics – Part A: Systems and Humans 28(4), 490–495, 1998.
Sun J., Feng, B. and Xu, W., Particle swarm optimization with particles having quantum behavior, Proceedings of Congress on Evolutionary Computation, Portland, Oregon, USA, 325–331, 2004.
Sun, J., Xu, W. and Feng, B., Adaptive parameter control for quantum-behaved particle swarm optimization on individual level, Proceedings of IEEE International Conference on Systems, Man and Cybernetics, Big Island, HI, USA, 3049–3054, 2005.
Takagi, T. and Sugeno, M. (1985). Fuzzy identification of systems and its applications to modeling and control, IEEE Transactions on Systems, Man and Cybernetics 15, 116–132.
Vukovic, P. D., One-step ahead predictive fuzzy controller, Fuzzy Sets and Systems 122(1), 107–115, 2001.
Wigren, T., Recursive prediction error identification using the nonlinear Wiener model, Automatica 29(4), 1011–1025, 1993.
Wu, C. -J. and Liu, G. -Y., A genetic approach for simultaneous design of membership functions and fuzzy control rules, Journal of Intelligent and Robotic Systems 28(3), 195–211, 2000.
Yang, Y., Direct robust adaptive fuzzy control (DRAFC) for uncertain nonlinear systems using small gain theorem, Fuzzy Sets and Systems 151(1), 79–97, 2005.
Zadeh, L. A., Fuzzy sets, Information and Control 8, 338–353, 1996.
Zhao, Z. Y., Tomizuka, M. and Isaka, S., Fuzzy gain scheduling of PID controllers, IEEE Transactions on Systems, Man and Cybernetics 23(5), 1392–1398, 1993.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Coelho, L.d.S., Nedjah, N., Mourelle, L.d.M. (2008). Gaussian Quantum-Behaved Particle Swarm Optimization Applied to Fuzzy PID Controller Design. In: Nedjah, N., Coelho, L.d.S., Mourelle, L.d.M. (eds) Quantum Inspired Intelligent Systems. Studies in Computational Intelligence, vol 121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78532-3_1
Download citation
DOI: https://doi.org/10.1007/978-3-540-78532-3_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78531-6
Online ISBN: 978-3-540-78532-3
eBook Packages: EngineeringEngineering (R0)