INFORMATION CHANGE THE WORLD

International Journal of Information Technology and Computer Science(IJITCS)

ISSN: 2074-9007 (Print), ISSN: 2074-9015 (Online)

Published By: MECS Press

IJITCS Vol.10, No.1, Jan. 2018

Optimal PID Design for Control of Active Car Suspension System

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Author(s)

O. Tolga Altinoz, A. Egemen Yilmaz

Index Terms

PID Control;Fractional-order PID control;Particle Swarm Optimization; Differential Evolution;Gravitational Search Algorithm;suspension system; quarter-car

Abstract

This research is based on the determination of the parameters of the PID and fractional-order PID controllers designed for quarter-car suspension system. Initially, without considering the active suspension structure, the performance of the passive suspension system under different wheel load index is presented by using the transfer function of the system. Then, by adding a wheel-load, the classical PID controller is designed and applied to the current controlled hydraulic actuator as a part of active suspension system. The parameters of this controller are determined by three heuristic optimization algorithms; Particle Swarm Optimization (PSO), Differential Evolution (DE) and Gravitational Search Algorithm (GSA). As the second part of this study after evaluating the performance of classical PID controller, fractional-order PID controller is designed and applied to the problem to improve the performance of the classical PID controller. Similarly, the parameters of this controller are also obtained by using the same optimization algorithms. In the paper, for modeling the road, instead of sinusoidal (road with hill) or random changes, a saw tooth signal is preferred as a relatively harder condition. Implementation results are showed that the performance of the fractional-order PID controller is much better that PID controller and also instead of relatively complex and expensive controller, it is possible to use fractional-order PID controller for the problem.

Cite This Paper

O. Tolga Altinoz, A. Egemen Yilmaz, "Optimal PID Design for Control of Active Car Suspension System", International Journal of Information Technology and Computer Science(IJITCS), Vol.10, No.1, pp.16-23, 2018. DOI: 10.5815/ijitcs.2018.01.02

Reference

[1]M. Canale, M. Milanese, and C. Novara, “Semi-active suspension control using "fast" model-predictive techniques,” Ieee Transactions on Control Systems Technology, vol. 14, pp. 1034-1046, Nov 2006.

[2]J. T. Cao, P. Li, and H. H. Liu, “An Interval Fuzzy Controller for Vehicle Active Suspension Systems,” Ieee Transactions on Intelligent Transportation Systems, vol. 11, pp. 885-895, Dec 2010.

[3]A. Hac, “Optimal Linear Preview Control of Active Vehicle Suspension,” Proceedings of the 29th Ieee Conference on Decision and Control, Vols 1-6, pp. 2779-2784, 1990.

[4]S. Frik and M. Hiller, “Kinematics and Dynamics of a Mcpherson Front Wheel Suspension with Elastic Rear Transverse Pivot Bearing,” Zeitschrift Fur Angewandte Mathematik Und Mechanik, vol. 69, pp. T398-T399, 1989.

[5]H. M. Soliman, A. Benzaouia, and H. Yousef, “Saturated robust control with regional pole placement and application to car active suspension,” Journal of Vibration and Control, vol. 22, pp. 258-269, Jan 2016.

[6]J. Marzbanrad, G. Ahmadi, H. Zohoor, and Y. Hojjat, “Stochastic optimal preview control of a vehicle suspension,” Journal of Sound and Vibration, vol. 275, pp. 973-990, Aug 23 2004.

[7]Y. L. Hu, M. Z. Q. Chen, and Z. S. Hou, “Multiplexed model predictive control for active vehicle suspensions,” International Journal of Control, vol. 88, pp. 347-363, Feb 1 2015.

[8]R. S. Sharp and H. E. Peng, “Vehicle dynamics applications of optimal control theory,” Vehicle System Dynamics, vol. 49, pp. 1073-1111, 2011.

[9]R. Krtolica and D. Hrovat, “Optimal Active Suspension Control Based on a Half-Car Model - an Analytical Solution,” Ieee Transactions on Automatic Control, vol. 37, pp. 528-532, Apr 1992.

[10]H. Chen and K. H. Guo, “Constrained H(infinity) control of active suspensions: An LMI approach,” Ieee Transactions on Control Systems Technology, vol. 13, pp. 412-421, May 2005.

[11]W. C. Sun, H. J. Gao, and O. Kaynak, “Finite Frequency H-infinity Control for Vehicle Active Suspension Systems,” Ieee Transactions on Control Systems Technology, vol. 19, pp. 416-422, Mar 2011.

[12]H. P. Du and N. Zhang, “H(infinity) control of active vehicle suspensions with actuator time delay,” Journal of Sound and Vibration, vol. 301, pp. 236-252, Mar 20 2007.

[13]S. Bououden, M. Chadli, and H. R. Karimi, “A Robust Predictive Control Design for Nonlinear Active Suspension Systems,” Asian Journal of Control, vol. 18, pp. 122-132, Jan 2016.

[14]H. Y. Li, X. J. Jing, H. K. Lam, and P. Shi, “Fuzzy Sampled-Data Control for Uncertain Vehicle Suspension Systems,” Ieee Transactions on Cybernetics, vol. 44, pp. 1111-1126, Jul 2014.

[15]H. Y. Li, J. Y. Yu, C. Hilton, and H. H. Liu, “Adaptive Sliding-Mode Control for Nonlinear Active Suspension Vehicle Systems Using T-S Fuzzy Approach,” Ieee Transactions on Industrial Electronics, vol. 60, pp. 3328-3338, Aug 2013.

[16]J. S. Chiou, S. H. Tsai, and M. T. Liu, “A PSO-based adaptive fuzzy PID-controllers,” Simulation Modelling Practice and Theory, vol. 26, pp. 49-59, Aug 2012.

[17]F. J. D'Amato and D. E. Viassolo, “Fuzzy control for active suspensions,” Mechatronics, vol. 10, pp. 897-920, Dec 2000.

[18]C. Z. Song, Y. Q. Zhao, and L. Wang, “Design of active suspension based on genetic algorithm,” Iciea 2008: 3rd Ieee Conference on Industrial Electronics and Applications, Proceedings, Vols 1-3, pp. 162-167, 2008.

[19]A. E. Baumal, J. J. McPhee, and P. H. Calamai, “Application of genetic algorithms to the design optimization of an active vehicle suspension system,” Computer Methods in Applied Mechanics and Engineering, vol. 163, pp. 87-94, Sep 21 1998.

[20]S. S. Sun, H. X. Deng, H. P. Du, W. H. Li, J. Yang, G. P. Liu, et al., “A Compact Variable Stiffness and Damping Shock Absorber for Vehicle Suspension,” Ieee-Asme Transactions on Mechatronics, vol. 20, pp. 2621-2629, Oct 2015.

[21]R. S. Prabakar, C. Sujatha, and S. Narayanan, “Response of a half-car model with optimal magnetorheological damper parameters,” Journal of Vibration and Control, vol. 22, pp. 784-798, Feb 2016.

[22]G. Z. Yao, F. F. Yap, G. Chen, W. H. Li, and S. H. Yeo, “MR damper and its application for semi-active control of vehicle suspension system,” Mechatronics, vol. 12, pp. 963-973, Sep 2002.

[23]J. H. Crews, M. G. Mattson, and G. D. Buckner, “Multi-objective control optimization for semi-active vehicle suspensions,” Journal of Sound and Vibration, vol. 330, pp. 5502-5516, Nov 7 2011.

[24]H. J. Gao, J. Lam, and C. H. Wang, “Multi-objective control of vehicle active suspension systems via load-dependent controllers,” Journal of Sound and Vibration, vol. 290, pp. 654-675, Mar 7 2006.

[25]M. Dangor, O. A. Dahunsi, J. O. Pedro, and M. M. Ali, “Evolutionary algorithm-based PID controller tuning for nonlinear quarter-car electrohydraulic vehicle suspensions,” Nonlinear Dynamics, vol. 78, pp. 2795-2810, Dec 2014.

[26]J. Kennedy and R. Eberhart, “Particle swarm optimization,” 1995 Ieee International Conference on Neural Networks Proceedings, Vols 1-6, pp. 1942-1948, 1995.

[27]R. C. Eberhart and Y. H. Shi, “Particle swarm optimization: Developments, applications and resources,” Proceedings of the 2001 Congress on Evolutionary Computation, Vols 1 and 2, pp. 81-86, 2001.

[28]K. F. Man, K. S. Tang, and S. Kwong, “Genetic algorithms: Concepts and applications,” Ieee Transactions on Industrial Electronics, vol. 43, pp. 519-534, Oct 1996.

[29]R. Storn and K. Price, “Differential evolution - A simple and efficient heuristic for global optimization over continuous spaces,” Journal of Global Optimization, vol. 11, pp. 341-359, Dec 1997.

[30]E. Rashedi, H. Nezamabadi-Pour, and S. Saryazdi, “GSA: A Gravitational Search Algorithm,” Information Sciences, vol. 179, pp. 2232-2248, Jun 13 2009.