Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory

A game theory based trajectory tracking control method is studied for the dual-objective optimization problem of trajectory tracking the accuracy and driving stability of driverless electric formula racing cars in high-speed trajectory conditions. The general control strategy and the model predictiv...

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Main Authors: Tian Tian, Gang Li, Ning Li, Hongfei Bai
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:World Electric Vehicle Journal
Subjects:
Online Access:https://www.mdpi.com/2032-6653/14/4/84
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author Tian Tian
Gang Li
Ning Li
Hongfei Bai
author_facet Tian Tian
Gang Li
Ning Li
Hongfei Bai
author_sort Tian Tian
collection DOAJ
description A game theory based trajectory tracking control method is studied for the dual-objective optimization problem of trajectory tracking the accuracy and driving stability of driverless electric formula racing cars in high-speed trajectory conditions. The general control strategy and the model predictive controller based on the evolutionary game between the two players are designed to optimize their own decisions to achieve the optimal payoff for themselves, and to obtain the optimal solution to the dual-objective optimization problem, by taking the dual objectives of trajectory tracking accuracy and driving stability as the two players in the game. Considering the influence of the dynamic environment, the time-varying interactive game mechanism between two plays is introduced, the game payoff matrix is established, the weights of each subject are determined, and a dynamic replication system is constructed by weight evolution to find the optimal equilibrium strategy for the model prediction controller. The simulated results show that the designed controller can play a significant role in optimizing the trajectory tracking accuracy and driving stability compared to a single model predictive controller under different speed tracking conditions.
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spelling doaj.art-b58b463ecc0046129e1bd6811e2f90012023-11-17T21:49:58ZengMDPI AGWorld Electric Vehicle Journal2032-66532023-03-011448410.3390/wevj14040084Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game TheoryTian Tian0Gang Li1Ning Li2Hongfei Bai3School of Automobile and Traffic Engineering, Liaoning University of Technology, Jinzhou 121001, ChinaSchool of Automobile and Traffic Engineering, Liaoning University of Technology, Jinzhou 121001, ChinaSchool of Electronics & Information Engineering, Liaoning University of Technology, Jinzhou 121001, ChinaSchool of Automobile and Traffic Engineering, Liaoning University of Technology, Jinzhou 121001, ChinaA game theory based trajectory tracking control method is studied for the dual-objective optimization problem of trajectory tracking the accuracy and driving stability of driverless electric formula racing cars in high-speed trajectory conditions. The general control strategy and the model predictive controller based on the evolutionary game between the two players are designed to optimize their own decisions to achieve the optimal payoff for themselves, and to obtain the optimal solution to the dual-objective optimization problem, by taking the dual objectives of trajectory tracking accuracy and driving stability as the two players in the game. Considering the influence of the dynamic environment, the time-varying interactive game mechanism between two plays is introduced, the game payoff matrix is established, the weights of each subject are determined, and a dynamic replication system is constructed by weight evolution to find the optimal equilibrium strategy for the model prediction controller. The simulated results show that the designed controller can play a significant role in optimizing the trajectory tracking accuracy and driving stability compared to a single model predictive controller under different speed tracking conditions.https://www.mdpi.com/2032-6653/14/4/84trajectory tracking controldual-objective optimizationevolutionary gameevolutionary stable strategymodel predictive control
spellingShingle Tian Tian
Gang Li
Ning Li
Hongfei Bai
Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory
World Electric Vehicle Journal
trajectory tracking control
dual-objective optimization
evolutionary game
evolutionary stable strategy
model predictive control
title Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory
title_full Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory
title_fullStr Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory
title_full_unstemmed Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory
title_short Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory
title_sort research on trajectory tracking control of driverless electric formula racing car based on game theory
topic trajectory tracking control
dual-objective optimization
evolutionary game
evolutionary stable strategy
model predictive control
url https://www.mdpi.com/2032-6653/14/4/84
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AT gangli researchontrajectorytrackingcontrolofdriverlesselectricformularacingcarbasedongametheory
AT ningli researchontrajectorytrackingcontrolofdriverlesselectricformularacingcarbasedongametheory
AT hongfeibai researchontrajectorytrackingcontrolofdriverlesselectricformularacingcarbasedongametheory