Mathematical Modelling and PID Controller Implementation to Control Linear and Nonlinear Quarter Car Active Suspension

Section: Research Paper
Issue
Vol. 28 No. 2 (2023): Volume 28 Issue 2
Published
Sep 1, 2023
Pages
113-121

Abstract

In this work, linear and nonlinear designs of active suspension models are proposed to develop and improve quarter-car systems. To simplify stability assessment, a second-order system is proposed for both linear and nonlinear cases. The linear system consists of mass, spring, and damper components, while the nonlinear system includes the same components with additional nonlinear parts for stiffness and damper. Moreover, the state space of the linear and nonlinear is presented as a preparatory step before applying the analysis methods to validate the models. After that, the stability of linear and nonlinear systems is characterized using Matlab simulations to compare suspension performance parameters such as rise time (tr), settling time (ts), and peak overshoot (Mp). The simulation results of the linear system for each of tr, ts, Mp were0.097612sec, 2.3 sec, and 0.3839 cm, respectively, while the results of the nonlinear system were 0.52237 sec, 20.16 sec, and 0.3064 cm, respectively. In addition, the results for linear and nonlinear systems indicate the need to improve ride comfort and road handling using PID controller design. Consequently, it is possible to reach a better compromise than is possible using pure elements, without a controller). Finally, the active suspension system for both linear and nonlinear systems is improved through the application of a PID controller, resulting in the following values for the linear system: tr = 0.10721sec, ts = 1.693 sec, and Mp = 0.3682cm. Similarly, the nonlinear system showed improved performance with tr = 0.259775sec, ts = 1.325 sec, and Mp = 0.0734cm.

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Authors

Mustafa Ibrahim Najm

Mechanical Engineering Department, College of Engineering, University of Mosul, Mosul, Iraq

ORCID
Alaa Dahham Younis

Mechatronics Engineering Department, College of Engineering, University of Mosul, Mosul, Iraq

ORCID
Firas Ahmed Majeed

-

ORCID

Identifiers

https://doi.org/10.33899/rengj.2023.137327.1216
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How to Cite

[1]
M. Ibrahim Najm, A. Dahham Younis, and F. Ahmed Majeed, “Mathematical Modelling and PID Controller Implementation to Control Linear and Nonlinear Quarter Car Active Suspension”, AREJ, vol. 28, no. 2, pp. 113–121, Sep. 2023.
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