Abstract
This chapter presents a Hybrid Elite Genetic Algorithm and Tabu Search (HEGATS) to design optimal fuzzy controllers for multi input multi output (MIMO) nonlinear system. The principle of the proposed algorithm is to seek the elitism by GA and introduce it in the TS algorithm as initial solution in order to find the best fuzzy rule base of the fuzzy controller. The fuzzy rule base of the fuzzy controller is tuned for optimal control performance using HEGATS by minimizing the mean square error. The proposed algorithm is tested for control of a helicopter model simulator and a double inverted pendulum. Simulation results proved the effectiveness of the proposed algorithm.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 33 (1965)
Mamdani, E.: Application of fuzzy logic to approximate reasoning using linguistic systems. Fuzzy Sets Syst. 26, 1182–1191 (1977)
Procyk, T.J., Mamdani, E.H.: A linguistic self-organising process controller. Automatica 15, 15–30 (1979)
Palm, R.: Sliding mode fuzzy control. In: Proceeding of the IEEE Presented at the Conference on Fuzzy Systems (Fuzz´IEEE 92), pp. 519–526. San Diego, USA (1992)
Foulloy, L.: Contrôle qualitative et contrôle flou: vers une méthode d’écriture des contrôleurs flous. Actes du 12ième journée internationale sur les systèmes experts et leurs applications, Avignon, France (1992)
Galichet, S., Dussud, M., Foulloy, L.: Contrôleurs flous: equivalences et études comparatives. Actes des rencontres francophones sur la logique floue et ses applications (LFA’92), pp. 229–236. Nîmes, France (1992)
Galichet, S., Foulloy, L.: Fuzzy controllers: synthesis and equivalences. IEEE Trans. Fuzzy Syst. 3(2), 140–148 (1995)
Hayashi, I., Nomura, H., Wakami, N.: Acquisition of inference rules by neural network driven fuzzy reasoning. Jpn. J. Fuzzy Theory Syst. 2(4), 453–469 (1990)
Wang, L.X.: Fuzzy systems as nonlinear dynamic system identifiers part I: design. In: Proceedings of the 31st Conference on Decision and Control, pp. 897–902. Tucson, AZ (1992)
Wang, L.X., Mendel, J.M.: Back-propagation fuzzy system as nonlinear dynamic system identifiers. In: Proceedings of the First IEEE Conference on Fuzzy Systems, pp. 1409–1418 (1992)
Horikawa, S., Furuhashi, T., Uchikawa, Y.: Composition methods and learning algorithms of fuzzy neural networks. Jpn. J. Fuzzy Theory Syst. 4(5), 529–556 (1992)
Wang, L.X.: Stable adaptive fuzzy control of nonlinear systems. IEEE Trans. Fuzzy Syst. 1(2), 146–155 (1993)
Wang, L.X.: Design and analysis of fuzzy identifiers of nonlinear dynamic systems. IEEE Trans. Autom. Control 40(1), 11–23 (1995)
Nomura, H., Hayashi, I., Wakami, N.: A learning method of fuzzy inference rules by descent method. In: Proceedings of the First IEEE Conference on Fuzzy Systems, pp. 203–210 (1992)
Nomura, H., Hayashi, I., Wakami, N.: Self-Tuning fuzzy reasoning by delta rule and its application to obstacle avoidance. Jpn. J. Fuzzy Theory Syst. 4(2), 261–272 (1992)
Jang, J.S.R.: ANFIS: adaptive-network-based fuzzy inference systems. IEEE Trans. Syst. Man Cybern. 23(3), 665–685 (1993)
Shi, Y., Mizumoto, M.: An improvement of neuro-fuzzy learning algorithm for tuning fuzzy rules. Fuzzy Sets Syst. 118, 339–350 (2001)
Rojas, I., Piomares, H., Ortega, J., Prieto, A.: Self-organized fuzzy system generation from training examples. IEEE Trans. Fuzzy Syst. 1, 23–36 (2000)
Kasabov, N.K., Song, Q.: DENFIS: dynamic evolving neural-fuzzy inference system and its application for time-series prediction. IEEE Trans. Fuzzy Syst. 10(2), 144–154 (2002)
Yao, X.: Evolutionary Computation─Theory and Applications. World Scientific, Singapore (1999)
Goldberg, D.E., Holland, J.H.: Genetic algorithms and machine learning. Mach. Learn. 3, 95–99 (1988)
Holland, J.H.: Adaptation in Natural and Artificial Systems, 2nd edn. MIT Press, Cambridge (1992)
Thrift, P.: Fuzzy logic synthesis with genetic algorithms. In: Proceedings of the Fourth International Conference on Genetic Algorithms, pp. 509–513 (1991)
Karr, C.L.: Applying genetics to fuzzy logic. AI Expert 6(3), 38–43 (1991)
Mohammadian, M., Stonier, R.: Generating fuzzy rules by genetic algorithms. In: Proceeding of 3rd IEEE International Workshop on Robot and Human Communication, pp. 362–367. Nagoya (1994)
Herrera, F., Lozano, M., Verdegay, J.L.: Tuning fuzzy logic controllers by genetic algorithms. Int. J. Approximate Reasoning 1, 299–315 (1995)
Chen, C., Wong, C.: Self-generating rule-mapping fuzzy controller design using a genetic algorithm. IEE Proceedings Control Theory Appl. 49, 143–148 (2002)
Belarbi, K., Titeli, F., Bourebia, W., Benmohammed, K.: Design of Mamdani fuzzy logic controllers with rule base minimisation using genetic algorithm. Eng. Appl. Artif. Intell. 18, 875–880 (2005)
Kennedy, J., Eberhart, R.C.: Particle swarm optimization. In: IEEE International Conference on Neural Networks, Piscataway, pp. 1942–1948 (1995)
Juang, C.F.: A hybrid of genetic algorithm and particle swarm optimization for recurrent network design. IEEE Trans. Syst. Man Cybern. 34(2), 997–1006 (2004)
Chatterjee, A., Pulasinghe, K., Watanabe, K., Izumi, K.: A particle swarm-optimized fuzzy-neural network for voice-controlled robot systems. IEEE Trans. Ind. Electron. 52(6), 1478–1489 (2005)
Sharma, K.D., Chatterjee, A., Rakshit, A.: A hybrid approach for design of stable adaptive fuzzy controllers employing Lyapunov theory and particle swarm optimization. IEEE Trans. Fuzzy Syst. 17(2), 329–342 (2009)
Herrera, F., Lozano, M., Verdegay, J.L.: A learning process for fuzzy control rules using genetic algorithms. Fuzzy Sets Syst. 100(1–3), 143–158 (1998)
Chang, C.H., Wu, Y.C.: Genetic algorithm based tuning method for symmetric membership functions of fuzzy logic control system. In: Proceedings IEEE/IAS International Conference on Industrial Automation and Control Emerging Technologies, pp. 421–428 (1995)
Homaifar, A., McCormick, E.: Simultaneous design of membership functions and rule sets for fuzzy controllers using genetic algorithms. IEEE Trans. Fuzzy Syst. 3(2), 129–139 (1995)
Belarbi, K., Titel, F.: Genetic algorithm for the design of a class of fuzzy controllers: an alternative approach. IEEE Trans. Fuzzy Syst. 8(4), 398–405 (2000)
Hoffmann, F.: Evolutionary algorithms for fuzzy control system design. Proc. IEEE 89(9), 1318–1333 (2001)
Glover, F.: Tabu search—part I. ORSA J. Comput. 1(3), 190–206 (1989)
Glover, F.: Tabu search—part II. ORSA J. Comput. 2(1), 4–32 (1990)
Takagi, T., Sugeno, M.: Fuzzy identification of systems and its applications to modeling and control. IEEE Trans. Syst. Man Cybern. 1(1), 116–132 (1985)
Bersini, H., Gorrini, V.: Methods for adaptive process control. In: Proceedings of the 1st European Congress on Fuzzy Intelligent Technologies EUFIT’93, pp. 55–61. Aachen, Germany (1993)
Boers, E., Kuiper, H.: Biological metaphors and the design of modular artificial neural networks. Master thesis at Leiden University, The Netherlands (1992)
Koenn, P.: Combining genetic algorithms and neural networks: the encoding problem. A Thesis for the Master of Science Degree, The University of Tennessee, Knoxville (1994)
Holland, J.: Adaption in Natural and Artificial Systems. University of Michigan Press, Ann Harbor (1975)
Hertz, A., Taillard, E., Werra, D.: A tutorial on tabu search. In: Proceedings of Giornate di Lavoro AIRO, vol. 95, pp. 13–24 (1995)
Aarts, E., Lenstra, J.K.: Local Search in Combinatorial Optimization. Wiley, Old technical report ORWP9218, p. 121–136 (1997)
Bagis, A.: Fuzzy rule base design using tabu search algorithm for nonlinear system modeling. ISA Trans. 47, 32–44 (2008)
Garcia-Martinez, C., Lozano, M., Herrera, F., Molina, D.: Global and local real-coded genetic algorithms based on parent-centric crossover operators. Eur. J. Oper. Res. 3(185), 1088–1113 (2008)
Ding, J.L., Chen, Z.Q., Yuan, Z.Z.: On the combination of genetic algorithm and Ant algorithm. J. Comput. Res. Dev. 40(9), 1351–1356 (2003)
Boubertakh, H., Labiod, S., and Tadjine,M.: PSO to Design Decentralized Fuzzy PI Controllers: Application for a Helicopter. 20th Mediterranean Conference on Control & Automation (MED). Barcelona, Spain (2012)
Wan, E.A., Bogdanov, A.A.: Model predictive neural control with applications to a 6 DOF helicopter model. In: Proceedings 2001 American Control Conference, pp. 488–493. Arlington, Virginia (2001)
Boubertakh, H., Tadjine, M.: Tuning Fuzzy PD and PI controllers using reinforcement learning. ISA Trans. 49, 543–551 (2010)
Talbi, N., Belarbi, K.: Designing fuzzy controllers for a class of MIMO systems using Hybrid Particle Swarm optimization and Tabu Search. Int. J. Hybrid Intell. Syst. 10(1), 1–9 (2013)
Spooner, J.T., Passino, K.M.: Adaptive control of a class of decentralized nonlinear systems. IEEE Trans. Autom. Control 41, 280–284 (1996)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Talbi, N., Belarbi, K. (2016). Designing Fuzzy Controller for a Class of MIMO Nonlinear Systems Using Hybrid Elite Genetic Algorithm and Tabu Search. In: Espinosa, H. (eds) Nature-Inspired Computing for Control Systems. Studies in Systems, Decision and Control, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-319-26230-7_5
Download citation
DOI: https://doi.org/10.1007/978-3-319-26230-7_5
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-26228-4
Online ISBN: 978-3-319-26230-7
eBook Packages: EngineeringEngineering (R0)