Iranian Journal of Mechanical Engineering Transactions of ISME

Iranian Journal of Mechanical Engineering Transactions of ISME

Control of chaotic active suspension system in vehicle using Fuzzy-Sliding Delay feedback

Authors
Yavar Noorolahi Gloje 1
Mahdi Abtahi 2
1 Faculty of Industrial and Mechanical Engineering, Qazvin Islamic Azad University
2 Industrial and Mechanical engineering faculty, Qazvin islamic Azad University
10.30506/ijmep.2021.129146.1704
Abstract
In this paper, the chaotic dynamic analysis along with chaos controller of an active suspension in vehicle has been studied. The unstable periodic orbits of the system are stabilized using the developed delay feedback control algorithm based on the fuzzy sliding mode system. Firstly, the equations of model are derived via Newton-Euler rules and then, power spectrum density and bifurcation diagrams have been used to confirm chaos in the system. Variations of the control parameters in the bifurcation diagrams demonstrate the changes of system behavior from the periodic to the irregular chaotic responses.
Finally, to eliminate the chaos in the vertical dynamics of vehicle, a novel fuzzy sliding delay feedback control algorithm is developed on the active suspension. Using fuzzy logic, the controller gain of the sliding delay feedback control is online estimated that is caused to reject the chattering phenomenon in the sliding mode algorithm beside the improvement of the responses. Simulation results of the control system depict a reduction of settling time and energy consumption along with eliminating the overshoots and chaotic vibrations.
Keywords
Chaos Control
Delay Feedback
Fuzzy-Sliding
Bifurcation Diagram

Subjects

[1] Ott, E., Grebogi, C., and Yorke, J.A., "Controlling Chaos", Physics Review Letter, Vol. 64, pp. 1196-1199, (1990).
[2] Pyragas, K., "Continuous Control of Chaos by Self-controlling Feedback", Physics Letters A, Vol. 170, pp. 421-428, (1992).
[3] Pyragas, K., and Tamas, E.A., "Experimental Control of Chaos by Delayed Selfcontrolling Feedback", Phys. Lett. A, Vol. 180, pp. 99-102, (1993).
[4] Abtahi, S.M., "Chaotic Study and Chaos Control in a Half-vehicle Model with SemiActive Suspension using Discrete Optimal Ott Grebogi–Yorke Method", Journal of Multi-Body Dynamics, Vol. 231, pp. 148-155, (2017).
[5] Litak, G., Borowiec, M., Friswell, M.I., and Szabelski, K., "Chaotic Vibration of a Quarter-car Model Excited by the Road Surface Profile", Communications in Nonlinear Science and Numerical, Vol. 13, pp. 1373-1383, (2008).
[6] Litak, G., Borowiec, M., Friswell, M.I., and Przystupa, W., "Chaotic Response of Quarter Car Model Forced by a Road Profile with a Stochastic Component", Chaos, Solitons and Fractals, Vol. 39, pp. 2448-2456, (2009).
[7] Naik, R., and Singru, P., "Resonance, Stability and Chaotic Vibration of a Quarter Car Vehicle Model with Time-delay Feedback", Communication Nonlinear Science Numerical Simulation, Vol. 16, pp. 3397-3410, (2011).
[8] Zhu, Q., and Ishitobi, M., "Chaotic Vibration of a Nonlinear Full-vehicle Model", International Journal of Solids and Structures, Vol. 43, pp. 747-759, (2006).
[9] Zhong, S., and Chen, Y., "Bifurcation of Piecewise-linear Nonlinear Vibration System of Vehicle Suspension", Applied Mathematics and Mechanics, Vol. 30, pp. 677-684, (2009).
[10] Fakheari, J., Khanlo, H.M., Ghayour, M., and Faramarzi, K.H., "The Influence of Road Bumps Characteristics on the Chaotic Vibration of a Nonlinear Full-vehicle Model with Driver", International Journal of Bifurcation and Chaos, Vol. 26, pp. 151-165, (2016).
[11] Dehghani, R., Khanlo, H.M., and Fakhraei, J., "Active Chaos Control of a Heavy Articulated Vehicle Equipped with Magnetorheological Damper", Nonlinear Dynamics, Vol. 87, pp. 1923-1942, (2017).
[12] Kucukefe, Y., and Adnan, K., "Delayed Feedback Control as Applied to Active Suspension of a Ground Vehicle", EUROCON 2009, IEEE, Budapest, Hungary, (2009).
[13] Zhang, Z.H., Chau, K.T., and Wang, Z.H., "Analysis and Stabilization of Chaos in the Electric-vehicle Steering System”, IEEE Transactions on Vehiclular Technology, Vol. 62, pp. 1-12, (2013)
[14] Koumen, G.I., Taffo, M., and Tchawoua, S.C., "Stability Switches and Bifurcation in a Two-degrees-of-freedom Nonlinear Quarter-car with Small Time-delayed Feedback Control", Chaos, Solitons and Fractals, Vol. 87, pp. 226-239, (2016).
[15] Abtahi, S.M., "Melnikov-Based Analysis for Chaotic Dynamics of Spin-Obit Motion of a Gyrostat Satellite", Journal of Multi-Body Dynamics, Vol. 233, pp. 931-941, (2019).
[16] Salarieh, H., and Alasty, A., "Chaos Control in Uncertain Dynamical Systems using Nonlinear Delayed Feedback", Chaos, Solitons & Fractals, Vol. 41, pp. 67-71, (2009).
[17] Abtahi, S.M., "Suppression of Chaotic Vibrations in Suspension System of Vehicle Dynamics using Chattering-free Optimal Sliding Mode Control", Journal of the Brazilian Society of Mechanical Sciences and Engineering, Vol. 41, pp. 209-219, (2019).

  • Receive Date 13 June 2020
  • Revise Date 03 October 2020
  • Accept Date 05 January 2021