Abstract
A polynomial function supervised fuzzy sliding mode control (PSFαSMC), collaborated with a skyhook surface method, is presented for the ride comfort of a vehicle semi-active suspension. The multi-objectivemicro-genetic algorithm (MOμGA) has been utilised to the PSFαSMC controller’s parameter alignment in a training process with three ride comfort objectives for the vehicle semi-active suspension, which is called the ‘offline’ step. Then, the optimised parameters are applied to the real-time control process by the polynomial function supervised controller, which is named ‘online’ step. A two degree of freedom dynamic model of a vehicle semi-active suspension system is given for passenger’s ride comfort enhancement studies and a simulation with the given initial conditions has been devised in MATLAB/SIMULINK. The numerical results have shown that this hybrid control method is able to provide a real-time enhanced level of ride comfort performance for the semi-active suspension system.
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References
Chen, Y.: Studies on SC6350C Driveline Torsional Vibration. Master Thesis, State Key Laboratory of Mechanical Transmission, Chongqing University (2004)
Yi, K., Wargelin, M., Hedrick, K.: Dynamic Tire Force Control by Semi-active Suspensions. Journal of Dynamic Systems, Measurement, and Control 115(3), 465–474 (1993)
Karnopp, D.C., Crosby, M.J., Harwood, R.A.: Vibration Control using Semi-Active Force Generators. Journals of Engineering for Industry, Transactions of the ASME 94, 619–626 (1974)
Jalili, N.: A Comparative Study and Analysis of Semi-Active Vibration-Control Systems. Journal of Vibration and Acoustics 124(4), 593–605 (2002)
Stanway, R.: The Development of Force Actuators using ER and MR Fluid Technology. Actuator Technology: Current Practice and New Developments, IEE Colloquium on (Digest No: 1996/110), 6/1-6/5 (1996)
Spencer Jr., B.F., Dyke, S.J., Sain, M.K., Carlson, J.D.: Phenomenological Model of Magnetorheological Damper. Journal of Engineering Mechanics 123(3), 230–238 (1997)
Caracoglia, L., Jones, N.: Passive Hybrid Technique for the Vibration Mitigation of Systems of Interconnected Stays. Journal of Sound and Vibration 307(3-5), 849–864 (2007)
Zhou, Q., Nielsen, S., Qu, W.: Semi-Active Control of Shallow Cables with Magnetorheological Dampers under Harmonic Axial Support Motion. Journal of Sound and Vibration 311(3-5), 683–706 (2008)
Emelyanov, S.V.: Variable Structure Control Systems. Nauka, Moscow (1967) (in Russian)
Itkis, Y.: Control Systems of Variable Structure. Wiley, New York (1976)
Utkin, V.A.: Sliding Modes and Their Application in Variable Structure Systems. Nauka (in Russian), Moscow (also Moscow: Mir, in English) (1978)
Hung, J.Y., Gao, W., Hung, J.C.: Variable Structure Control: A Survey. IEEE Transactions on Industrial Electronics, 2–22 (1993)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8(3), 338–353 (1965)
Ishigame, A., Furukawa, T., Kawamoto, S., Taniguchi, T.: Sliding Mode Controller Design Based on Fuzzy Inference for Non-Linear System. In: International Conference on Industrial Electronics, Control and Instrumentation, Kobe, Japan, 28 Oct. - 1 Nov, vol. 3, pp. 2096–2101 (1991)
Ishigame, A., Furukawa, T., Kawamoto, S., Taniguchi, T.: Sliding Mode Controller Design Based on Fuzzy Inference for Nonlinear Systems. IEEE Trans. Industrial Electronics 40(1), 64–70 (1993)
O’Dell, B.: Fuzzy Sliding Mode Control: A Critical Review, Oklahoma State University, Advanced Control Laboratory, Technical Report ACL-97-001 (1997)
Ng, K.C., Li, Y., Murray-smith, D.J., Sharman, K.C.: Genetic Algorithm Applied to Fuzzy Sliding Mode Controller design. In: First International Conference on Genetic Algorithms in Engineering Systems: Innovations and Applications, GALESIA, September 12-14, pp. 220–225 (1995)
Kung, C., Kao, W.: GA-based grey fuzzy dynamic sliding mode controller design. In: The 1998 IEEE International Conference on Fuzzy Systems Proceedings, IEEE World Congress on Computational Intelligence, Anchorage, AK, USA, vol. 1, pp. 583–588 (1998)
Chen, P.C., Chen, C.W., Chiang, W.L.: GA-Based Fuzzy Sliding Mode Controller for Nonlinear Systems. Expert Systems with Applications: An International Journal 36(3), 5872–5879 (2009)
Slotine, J.J.E., Li, W.P.: Applied Nonlinear Control. Prentice-Hall International, Englewood Cliffs (1991)
Lo, J.C., Kuo, Y.H.: Decoupled Fuzzy Sliding-mode Control. IEEE Transactions Fuzzy Systems 6, 426–435 (1998)
Choi, B.J., Kwak, S.W., Kim, B.K.: Design of a Single-Input Fuzzy Logic Controller and its Properties. Fuzzy Sets and Systems 106, 299–308 (1999)
Kung, C., Chen, T., Kung, L.: Modified Adaptive Fuzzy Sliding Mode Controller for Uncertain Nonlinear Systems. IEICE Transactions Fundamentals E88-A(5), 1328–1334 (2005)
Wang, J., Rad, A.B., Chan, P.T.: Indirect Adaptive Fuzzy Sliding Mode Control: Part I: fuzzy switching. Fuzzy Sets and Systems 122(1), 21–30 (2001)
Wang, C.H., Liu, H.L., Lin, T.C.: Direct Adaptive Fuzzy-Neural Control with State Observer and Supervisory Controller for Unknown Nonlinear Dynamical Systems. The IEEE Transactions on Fuzzy Systems 10, 39–49 (2002)
Yau, H.T., Chen, C.L.: Chattering-free Fuzzy Sliding-Mode Control Strategy for Uncertain Chaotic Systems. Chaos, Solitons and Fractals 30, 709–718 (2006)
Eksin, I., Güzelkaya, M., Tokat, S.: Self-Tuning Mechanism for Sliding Surface Slope Adjustment in Fuzzy Sliding Mode Controllers. Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 216(5), 393–406 (2002)
Iglesias, E., García, Y., Sanjuan, M., Camacho, O., Smith, C.: Fuzzy Surface-Based Sliding Mode Control. ISA Transactions 46(1), 73–83 (2007)
Roopaeia, M., Zolghadrib, M., Meshksarc, S.: Enhanced Adaptive Fuzzy Sliding Mode Control for Uncertain Nonlinear Systems. Communications in Nonlinear Science and Numerical Simulation 14(9-10), 3670–3681 (2009)
Holland, J.: Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor (1975)
Krishnakumar, K.: Micro-genetic Algorithms for Stationary and Non-Stationary Function Optimization. In: SPIE: Intelligent Control and Adaptive Systems, Philadelphia, PA, vol. 1196, pp. 289–296 (1989)
Goldberg, D.: Sizing Populations for Serial and Parallel Genetic Algorithms. In: Proceedings of the Third International Conference on Genetic Algorithms, San Mateo, California, vol. 1196, pp. 70-79 (1989)
Ogata, K.: Modern Control Engineering. Prentice-Hall, Englewood Cliffs (1996)
Chen, Y.: Skyhook Surface Sliding Mode Control on Semi-active Vehicle Suspension Systems for Ride Comfort Enhancement. Engineering 1(1), 23–32 (2009)
Chen, Y., Cartmell, M.P.: Hybrid Fuzzy and Sliding-Mode Control for Motorised Tether Spin-Up When Coupled with Axial Vibration. In: 7th International Conference on Modern Practice in Stress and Vibration Analysis, New Hall, Cambridge, September 8-10 (2009)
Chen, Y., Cartmell, M.P.: Hybrid Fuzzy Skyhook Surface Sliding Mode Control for Motorised Space Tether Spin-up Coupled with Axial Oscillation. In: Advanced Problems in Mechanics, 30 June - 5 July. Russian Academy of Sciences, St. Petersburg, Russia (2009)
Slotine, J.J.E.: Tracking Control of Non-Linear Systems using Sliding Surfaces with Application to Robot Manipulations. PhD Dissertation, Laboratory for Information and Decision Systems, Massachusetts Institute of Technology (1982)
Burns, R.: Advanced Control Engineering. Butterworth-Heinemann, Oxford (2001)
Passino, K.M., Yurkovich, S.: Fuzzy Control. Addison Wesley Longman, Menlo Park (1998)
Mamdani, E.H., Assilian, S.: An Experiment in Linguistic Synthesis with a Fuzzy Logic Controller. International Journal of Man-Machine Studies 7(1), 1–13 (1975)
Mamdani, E.H.: Advances in the Linguistic Synthesis of Fuzzy Controllers. International Journal of Man-Machine Studies 8(1), 669–678 (1976)
Mamdani, E.H.: Applications of Fuzzy Logic to Approximate Reasoning using Linguistic Synthesis. IEEE Transactions on Computers 26(12), 1182–1191 (1977)
Zadeh, L.A.: Outline of a New Approach to the Analysis of Complex Systems and Decision Processes. IEEE Transactions on Systems, Man, and Cybernetics 3(1), 28–44 (1973)
Chen, Y., Fang, Z., Luo, H., Deng, Z.: Simulation Research on Real-time Polynomial Function Supervising PID Control Based on Genetic Algorithms. Journal of System Simulation 16(6), 1171–1174 (2004)
Coello Coello, C.A., Pulido, G.: A Micro-Genetic Algorithm for Multiobjective Optimization. In: Proceedings of the Genetic and Evolutionary Computation Conference, pp. 126–140. Springer, Heidelberg (2001)
Deb, K., Goldberg, D.E.: An Investigation of Niche and Species Formation in Genetic Function Optimization. In: Schaffer, J.D. (ed.) Proceedings of the Third International Conference on Genetic Algorithms, pp. 42–50. Morgan Kaufmann, San Mateo (1989)
Fonseca, C.M., Fleming, P.J.: Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization. In: Forrest, S. (ed.) Proceedings of the Fifth International Conference on Genetic Algorithms, pp. 416–423. Morgan Kaufmann, San Mateo (1993)
Lo, K.L., Khan, L.: Hierarchical Micro-Genetic Algorithm Paradigm for Automatic Optimal Weight Selection. H ∞ Loop-Shaping Robust Flexible AC Transmission System Damping Control Design 151(1), 109–118 (2004)
Tam, V., Cheng, K.Y., Lui, K.S.: Using Micro-Genetic Algorithms to Improve Localization in Wireless Sensor Networks. Journal of Communications 1(4), 1–10 (2006)
Davidyuk, O., Selek, I., Ceberio, J., Riekki, J.: Application of Micro-Genetic Algorithm for Task Based Computing. In: Proceeding of International Conference on Intelligent Pervasive Computing (IPC 2007), Jeju Island, Korea, pp. 140–145 (October 2007)
Szőllős, A., Šmíd, M., Hájek, J.: Aerodynamic Optimization via Multi-Objective Micro-Genetic Algorithm with Range Adaptation, Knowledge-Based Reinitialization. Crowding and ε-Dominance 40(6), 419–430 (2009)
Sen, A.: Markets and Freedom: Achievements and Limitations of the Market Mechanism in Promoting Individual Freedoms. Oxford Economic Papers 45(4), 519–541 (1993)
Barr, N.: Economics of the Welfare State. Oxford University Press, New York (2004)
Ehrgott, M.: Multicriteria Optimization, 2nd edn. Springer, Berlin (2005) ISBN 3-540-21398-8
Santana-Quintero, L.V., Montaõ, A.A., Coello Coello, C.A.: A Review of Techniques for Handling Expensive Functions in Evolutionary Multi-Objective Optimization. In: Tenne, Y., Goh, C.-K. (eds.) Computational Intelligence in Expensive Optimization Problems, vol. 2, pp. 29–59. Springer, Heidelberg (2010)
Goldberg, D.: Genetic Algorithms in Search, Optimization and Machine Learning. Kluwer Academic Publishers, Boston (1989)
Fonseca, C.M., Fleming, P.J.: Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization. In: Genetic Algorithms: Proceedings of the Fifth International Conference, pp. 416–423. Morgan Kaufmann, San Mateo (1993)
International Organization for Standardization: Mechanical Vibration and Shock – Evaluation of Human Exposure to Whole-Body Vibration – Part 1: General Requirements, ISO 2631-1:1997 (1997)
Sayers, M.W.: Interpretation of Road Roughness Profile Data. Final Report UMTRI-96-19 (1996)
Wei, L., Fwa, T.F., Zhe, Z.: Wavelet Analysis and Interpretation of Road Roughness. Journal of Transportation Engineering 131(2), 120–130 (2005)
International Organization for Standardization: ISO 8608:1995 Mechanical Vibration-Road Surface Profiles-Reporting of Measured Data (1995)
Wong, J.Y.: Theory of Ground Vehicles, 3rd edn. John Wiley & Sons, Chichester (2001)
International Organization for Standardization: ISO/TC108/SC2/WG4 N57 Reporting Vehicle Road Surface Irregularities (1982)
Elbeheiry, E.M., Karnopp, D.C.: Optimal Control of Vehicle Random Vibration with Constrained Suspension Deflection. Journal of Sound and Vibration 189(5), 547–564 (1996)
Ramji, K., Gupta, A., Saran, V.H., Goel, V.K., Kumar, V.: Road Roughness Measurements using PSD Approach. Journal of the Institution of Engineers 85, 193–201 (2004)
Liu, Y., Matsuhisaa, H., Utsunoa, H.: Semi-active Vibration Isolation System with Variable Stiffness and Damping Control. Journal of Sound and Vibration 313(1-2), 16–28 (2008)
Chen, Y.: Simple Genetic Algorithm Laboratory Toolbox for MATLAB (2009), http://www.mathworks.co.uk/matlabcentral/fileexchange/5882
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Chen, Y. (2011). Fuzzy Skyhook Surface Control Using Micro-Genetic Algorithm for Vehicle Suspension Ride Comfort. In: Köppen, M., Schaefer, G., Abraham, A. (eds) Intelligent Computational Optimization in Engineering. Studies in Computational Intelligence, vol 366. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21705-0_13
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