Synthesis of the optimal-square-law regulator for car suspension control

Authors: Ovsyannikov A.D.
Published in issue: #10(63)/2021
DOI: 10.18698/2541-8009-2021-10-743
Category: Informatics, Computer Engineering and Control | Chapter: Automation, Control of Technological Processes, and Industrial Control
Keywords: control system, regulator, optimal control, quadratic functional, suspension, car, vehicle, mathematical model
Published: 16.11.2021

The use of the active suspension control system can significantly change the dynamics of the vehicle vertical movement and meet the regularly increasing requirements for safety and comfort. The author deduced differential equations describing the vertical movement of the car. A quadratic functional is selected that reflects the requirements for the system. Based on the movement model of an individual wheel, an optimal regulator was developed that minimizes the selected functional, and the parameters of the regulator were selected that provide the necessary response of the system to external input influences. The possibility of using the obtained regulator in a complicated model describing the motion of a four-wheeled vehicle taking into account the roll and pitch has been investigated.

References

[1] Khusaynov A.Sh. Ekspluatatsionnye svoystva avtomobilya [Exploitation characteristics of a car]. Ul’yanovsk, UlGTU Publ., 2011 (in Russ.).

[2] Dixon J. Tires, suspension and handling. SAE, 1996.

[3] Ulsoy A.G., Peng H., Çakmakci M. Automotive control systems. Cambridge University Press, 2012.

[4] Guiggiani M. The science of vehicle dynamics. Springer, 2018.

[5] Vishnyakov N.N., Vakhlamov V.K., Narbut A.N. Avtomobil’: osnovy konstruktsii [A car: design fundamentals]. Moscow, Mashinostroenie Publ., 1986 (in Russ.).

[6] Aly A.A., Salem F.A. Vehicle suspension systems control: a review. IJCAS, 2013, vol. 2, no. 2, pp. 46–54.

[7] Sharp R.S., Pilbeam C. On the ride comfort benefits available from road preview with slow-active car suspensions. Veh. Syst. Dyn., 1994, vol. 23, no. S1, pp. 437–448. DOI: https://doi.org/10.1080/00423119308969532

[8] Ogata K. Modern control engineering. Prentice hall, 2010.

[9] Smith C.C., McGehee D.Y., Healey A.J. The prediction of passenger riding comfort from acceleration data. J. Dyn. Sys., Meas. Control., 1978, vol. 100, no. 1, pp. 34–41. DOI: https://doi.org/10.1115/1.3426338

[10] Kučera V. A review of the matrix Riccati equation. Kybernetika, 1973, vol. 9, no. 1, pp. 42–61.