Abstract
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. However, a drawback of FLC methodologies in the industrial environment is the number of tuning parameters to be selected. In this context, a broad class of meta-heuristics has been developed for optimization tasks. Recently, a meta-heuristic called harmony search (HS) algorithm has emerged. HS was conceptualized using an analogy with music improvisation process where music players improvise the pitches of their instruments to obtain better harmony. Inspired by the HS optimization method, this work presents an improved HS (IHS) approach using exponential probability distribution to optimize the design parameters of a FLC with fuzzy PI (proportional-integral) plus derivative action conception. Numerical results presented here indicate that validated FLC design with IHS tuning is effective for the control of a pH neutralization nonlinear process.
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References
Ahn, K.K., Truong, D.Q.: Online tuning fuzzy PID controller using robust extended Kalman filter. Journal of Process Control 19, 1011–1023 (2009)
Feng, G.: A survey on analysis and design of model-based fuzzy control systems. IEEE Transactions on Fuzz Systems 14, 676–697 (2006)
Mohan, B.M., Sinha, A.: Analytical structure and stability analysis of a fuzzy PID controller. Applied Soft Computing 8, 749–758 (2008)
Wang, L., Du, W., Wang, H., Wu, H.: Fuzzy self-tuning PID control of the operation temperatures in a two-staged membrane separation process. Journal of Natural Gas Chemistry 17, 409–414 (2008)
Li, H.X., Gatland, H.B.: Enhanced methods of fuzzy logic control. In: Proceedings of FUZZ-IEEE/IFES, Yokohama, Japan, vol. 1, pp. 331–336 (1995)
Fadaei, A., Salahshoor, K.: Design and implementation of a new fuzzy PID controller for networked control systems. ISA Transactions 47, 351–361 (2008)
Golob, M.: Decomposed fuzzy proportional-integral-derivative controllers. Applied Soft Computing 1, 201–214 (2001)
Kwok, D.P., Tam, P., Li, C.K., Wang, P.: Linguistic PID controllers. In: Proceedings of 11th World Congress of IFAC, Tallin, Estonia, USSR, vol. 7, pp. 192–197 (1990)
Lan, L.H.: Stability analysis for a class of Takagi–Sugeno fuzzy control systems with PID controllers. International Journal of Approximate Reasoning 46, 109–119 (2007)
Li, Y., Ng, K.C.: Reduced rule-base and direct implementation of fuzzy logic control. In: Proceedings of 13th World Congress of IFAC, San Francisco, CA, USA, pp. 85–90 (1997)
Mann, G.K.I., Hu, B.G., Gosine, R.G.: Analysis of direct action fuzzy PID controller structures. IEEE Transactions on Systems, Man, and Cybernetics — Part B: Cybernetics 29, 371–388 (1999)
Shayeghi, H., Shayanfar, H.A., Jalili, A.: Multi-stage fuzzy PID power system automatic generation controller in deregulared environments. Energy Conversion and Management 47, 2829–2845 (2006)
Soyguder, S., Karakose, M., Alli, H.: Design and simulation of self-tuning PID-type fuzzy adaptive control for an expert HVAC system. Expert Systems with Applications 36, 4566–4573 (2009)
Bagis, A., Karaboga, D.: Evolutionary algorithm-based fuzzy PD control of spillway gates of dams. Journal of the Franklin Institute 344, 1039–1055 (2007)
Chou, C.H.: Genetic algorithm-based optimal fuzzy controller design in the linguistic space. IEEE Transactions on Fuzzy Systems 14, 372–395 (2006)
Cordón, O., Gomide, F., Herrera, F., Hoffmann, F.: Magdalena Ten years of genetic fuzzy systems: current framework and new trends. Fuzzy Sets and Systems 141, 5–31 (2004)
Marseguerra, M., Zio, E., Cadini, F.: Genetic algorithm optimization of a model-free fuzzy control system. Annals of Nuclear Energy 32, 712–728 (2005)
Mucientes, M., Moreno, D.L., Bugarín, A., Barro, S.: Design of a fuzzy controller in mobile robotics using genetic algorithms. Applied Soft Computing 7, 540–546 (2007)
Wu, C.J., Liu, G.Y.: A genetic approach for simultaneous design of membership functions and fuzzy control rules. Journal of Intelligent and Robotic Systems 28, 195–211 (2000)
Geem, Z.W., Kim, J.H., Loganathan, G.V.: A new heuristic optimization algorithm: harmony search. Simulation 76(2), 60–68 (2001)
Saka, M.P.: Optimum design of steel sway frames to BS5950 using harmony search algorithm. Journal of Constructional Steel Research 65, 36–43 (2009)
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
Coelho, L.S., Coelho, A.A.R.: Fuzzy PID controllers: structures, design principles and application for nonlinear practical process. In: Roy, R., Furushashi, T., Chawdhry, K. (eds.) Advances in Soft Computing – Engineering Design and Manufacturing, pp. 147–159. Springer, London (1999)
Mamdani, E., Assilian, S.: An experiment in linguistic synthesis with a fuzzy logic controller. International Journal on Man Machine Studies 7, 1–13 (1975)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Transactions on Systems, Man, and Cybernetics 15, 116–132 (1985)
Qin, S.J.: Auto-tuned fuzzy logic control. In: Proceedings of the American Control Conference, Baltimore, Maryland, USA, pp. 2465–2469 (1994)
Coelho, L.S., Bernert, D.L.A.: An improved harmony search algorithm for synchronization of discrete-time chaotic systems. Chaos, Solitons & Fractals 41, 2526–2532 (2009)
Coelho, L.S., Alotto, P.: Global optimization of electromagnetic devices using an exponential quantum-behaved particle swarm optimizer. IEEE Transactions on Magnetics 44, 1074–1077 (2008)
Krohling, R.A., Coelho, L.S.: PSO-E: Particle swarm with exponential distribution. In: Proceedings of IEEE Congress on Evolutionary Computation (CEC 2006), pp. 5577–5582 (2006)
Narihisa, H., Taniguchi, T., Ohta, M., Katayama, K.: Exponential evolutionary programming without self-adaptive strategy parameter. In: Proceedings of IEEE Congress on Evolutionary Computations, pp. 544–551 (2006)
Logghe, D., Wang, H.: Modelling a non-linear pH process via the use of B-splines neural network. In: Proceedings of the IEEE International Conference on Control Applications (1997)
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dos Santos Coelho, L., de A. Bernert, D.L. (2010). A Harmony Search Approach Using Exponential Probability Distribution Applied to Fuzzy Logic Control Optimization. In: Geem, Z.W. (eds) Recent Advances In Harmony Search Algorithm. Studies in Computational Intelligence, vol 270. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04317-8_7
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DOI: https://doi.org/10.1007/978-3-642-04317-8_7
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