Abstract—The purpose of this research is to design and implement a controller to achieve a desired displacement and velocity of a sprung mass in a suspension system dynamic model of a vehicle at certain times. In numerous applications, the dynamic response of the Skyhook model is considered the optimal response of a suspension system. As a result, in this project, the response of the Skyhook model is first improved by use of an LQR controller, and then using the sliding mode controller, the response of the realistic car model, represented by a Macpherson suspension system, is adjusted to the response of the LQR-controlled Skyhook model. In order to improve the performance of the suspension, the control force of the actuator in the Macpherson model is obtained by the sliding mode control method, via changing the order of the sliding surface equation. It has been proven that as the system response is optimized in the same way as that of the Skyhook template model with the LQR controller for various road disturbance functions.

Keywords—LQR, macpherson, skyhook control, sliding mode control, suspension system, modelling

Cite: Ali Emran Yazdani and Soroush Abyaneh, "Design of a Sliding Mode Controller for a Macpherson Suspension System to Simulate an LQR-Optimized Skyhook Model," International Journal of Mechanical Engineering and Robotics Research, Vol. 13, No. 1, pp. 67-74, 2024. 

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