# American Institute of Mathematical Sciences

## Modeling and control algorithm design for power-assisted steering stability of electric vehicle

 1 Automotive Engineering Department, Xingtai Polytechnic College, Xingtai 054035, China 2 Department of Business Administration, University of Science and Technology, Anshan 114051, China

* Corresponding author: Dayong Xu

Received  March 2019 Revised  April 2019 Published  December 2019

In the traditional power-assisted steering stability modeling and control algorithm based on PID, power control is achieved based on the filtering results of PID control signal, it lacks of road control process in the process of assisted control, with poor real-time control and low stability. In this paper, a new power-assisted steering stability modeling and control algorithm of electric vehicle is designed. Firstly, a power-assisted steering stability model of electric vehicle is constructed, to analyze the basic structure and working principle of the electric power steering (EPS) system, then a mathematical model of the EPS system is constructed. On this basis, the Simulink tool is used to establish simulation models for each subsystem of EPS. In the process of designing the control algorithm, the P algorithm and the PD algorithm are used to control the power, and the road model of the two algorithms is constructed. The steering gear ratio, the electromagnetic torque coefficient and the boosting current gain coefficient in the road model are adjusted to realize the electric vehicle assisted control. It is proved by experiments that the angle pulse input and the lateral accelerations of steady-state rotation of the electric vehicle under the control of the designed algorithm are $-0.4$ g to $-0.3$ g and $-0.33$ g to $-0.72$ g, and the yaw rate is $-3$ deg/sec to 17.5 deg/sec and 22 deg/sec to 34 deg/sec, respectively, indicating that the electric vehicle has a high dynamic response and stability under the control of the designed algorithm.

Citation: Xinwen Luo, Weize Liu, Zhiyi Huo, Dayong Xu. Modeling and control algorithm design for power-assisted steering stability of electric vehicle. Discrete & Continuous Dynamical Systems - S, doi: 10.3934/dcdss.2020205
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##### References:
Force analysis diagram of EPS system
General block diagram of ESP system simulation model
Torque comparison diagram of steering wheel input
Comparison of lateral acceleration of corner pulse input
Comparison of angular pulse input yaw rate
Torque comparison diagram of step input steering wheel
Comparative diagram of lateral acceleration of corner step input
Comparison of the yaw rate of step input
Contrast diagram of lateral acceleration at low speed steering
Comparison of yaw rate for low speed steering return
Lateral acceleration contrast diagram of high speed steering alignment
Comparison of yaw rate for high speed steering return
Contrast diagram of lateral acceleration for steady rotation
Comparative diagram of yaw rate for steady rotation