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June 1, 2026Advances in Mechanical Engineering1 citationsOpen Access

Fuzzy-based adaptive prediction horizon nonlinear model predictive control for vehicle trajectory tracking

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MLMingjun LiuYZYingchen ZhanXFXiangyu Fang

Key Points

  • This research aims to improve real-time performance and tracking accuracy in vehicle control systems utilizing an adaptive prediction horizon.
  • Proposed a fuzzy control-based adaptive prediction horizon kinematic NMPC (FANMPC) approach using road curvature and vehicle speed as inputs.
  • Formulated a nonlinear optimization problem solved by the Sequential Quadratic Programming (SQP) algorithm.
  • Incorporated control increment and dynamic stability constraints for smooth control.
  • Enhanced lateral tracking accuracy by 42.4% at low speed (30 km/h) and 77.91% at high speed (70 km/h) compared to fixed MPC.
  • Improved lateral tracking accuracy by 23.4% and 8.01% compared to fixed prediction horizon NMPC at respective speed conditions.
  • Reduced average solution time by 11.72% and 16.04% compared to fixed prediction horizon NMPC.

Abstract

To address the issue that traditional Nonlinear Model Predictive Control (NMPC), which employs a fixed prediction horizon, struggles to simultaneously satisfy the requirements for both tracking accuracy and real-time performance, this study proposes a Fuzzy control-based Adaptive prediction horizon kinematic NMPC (FANMPC) approach. This method utilizes road curvature and vehicle speed as fuzzy inputs to adjust the prediction horizon in real-time. Based on the vehicle kinematics model, a nonlinear optimization problem is formulated and solved using the Sequential Quadratic Programming (SQP) algorithm. Additionally, control increment constraints and dynamic stability constraints are incorporated to ensure smooth control. Simulation experiments demonstrate that, under both low-speed (30 km/h) and high-speed (70 km/h) double lane change conditions, compared to fixed predictive horizon Model Predictive Control (MPC), the proposed method enhances lateral tracking accuracy by 42.4% and 77.91%, respectively. Furthermore, when compared to fixed prediction horizon NMPC, it improves lateral tracking accuracy by 23.4% and 8.01%, respectively, while reducing the average solution time by 11.72% and 16.04%, respectively. The proposed method significantly enhances the real-time performance of the algorithm while maintaining tracking accuracy, offering an optimized solution for trajectory tracking control in autonomous driving that balances both accuracy and efficiency.

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Cite This Study

Liu et al. (2026) studied this question.

synapsesocial.com/papers/6a1d234302fbce9130638d75https://doi.org/10.1177/16878132261452536
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