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  • 基于預瞄曲率與狀態協調的預測時域自適NMPC

    Adaptive Prediction Horizon Nonlinear Model Predictive Control with Previewed Curvature Information and State Coordination

    • 摘要: 在整體式車輛穩定性軌跡跟蹤控制架構的基礎之上,設計了一種引入預瞄曲率信息的自適應預測時域非線性模型預測控制(NMPC). 基于預瞄的參考路徑曲率點列指導控制維度變化,提升控制器對于路徑曲率的動態響應能力;進一步地,引入狀態協調優化機制,使控制器顯示耦合至上一控制周期的車輛狀態空間,有效避免預測時域變化造成的多步優化問題解耦效應,抑制因控制輸入突變對軌跡跟蹤控制任務的影響. 結合兩種優化方法,有效改善固定預測時域策略在高曲率軌跡跟蹤中因累計誤差造成的跟蹤精度下降問題. 最后,基于MATLAB/Simulink-CarSim聯合仿真平臺對算法進行了驗證. 經計算,高速單移線工況下,該方法在側向偏差均值/峰值、縱向偏差均值/峰值、航向偏差均值/峰值指標中,相較于固定預測時域NMPC同比降低36.17%/15.25%、11.55%/38.58%、6.13%/25.27%;高速雙移線工況下,同比降低30.28%/29.77%、25.07%/3.85%、11.02%/2.68%. 此外,在高速低附著工況中,該方法仍能保證良好的控制精度及側向穩定性,其峰值側向偏差為0.2017 m、峰值縱向偏差為0.9744 km \cdot h–1、峰值航向偏差為1.1936°、峰值質心側偏角為1.9074°.

       

      Abstract: In certain emergency maneuver scenarios, such as high-speed lane changes or collision avoidance, the trajectory-tracking controller must guarantee strict vehicle stability and maintain high control accuracy to prevent safety hazards. The strongly coupled dynamics and pronounced nonlinearities of a vehicle pose significant challenges in achieving both objectives. However, the four-wheel independently driven or steered, distributed electric-drive intelligent vehicle chassis provides a versatile platform for active safety technologies. In addition, the inherent strengths of model predictive control (MPC) in handling linear, multi-objective constraints offer theoretical support for achieving high-precision stability control. The prediction horizon determines both the step length of MPC’s receding-horizon optimization and extent of the predicted future vehicle state space, such that a longer horizon enhances control smoothness, whereas a shorter horizon improves the vehicle’s dynamic responsiveness to path-curvature variations and mitigates the control-accuracy degradation caused by accumulated model-prediction errors. To date, discussions on adaptive prediction-horizon optimization in high-speed stability MPC trajectory tracking controllers remain scarce, making it difficult to strike an optimal balance between curvature-response speed and vehicle stability. To this end, this study builds upon an integrated vehicle stability and trajectory tracking control framework, to propose an adaptive prediction horizon nonlinear model predictive control (NMPC) strategy that incorporates previewed curvature information. By leveraging a preview-based reference path curvature point sequence, the control parameters are dynamically adjusted. The proposed method enhances the controller’s responsiveness to path curvature variations and mitigates the tracking accuracy degradation caused by accumulated errors in fixed-horizon strategies during high-curvature trajectory tracking. A state-coordination optimization mechanism designed via optimization sub-objective, explicitly couples the controller to the vehicle state of the previous control cycle. This effectively suppresses the decoupling effects in multistep optimization problems induced by prediction horizon variations and minimizes the discontinuities in control inputs. Finally, the proposed algorithm was validated in a co-simulation environment built using MATLAB/Simulink and CarSim. Representative high-speed maneuvering control scenarios were selected to quantitatively assess its performance. Comparative evaluations against other methods demonstrated the superiority of the proposed algorithm: in high-speed single lane-change scenarios. The method reduced average/peak lateral deviations by 36.17%/15.25%, average/peak longitudinal deviations by 11.55%/38.58%, and average/peak heading deviations by 6.13%/25.27% compared to fixed-horizon NMPC. In high-speed double lane-change scenarios, it achieved reductions of 30.28%/29.77% (lateral), 25.07%/3.85% (longitudinal), and 11.02%/32.68% (heading). Under high-speed low-adhesion conditions (μ=0.4), the method maintained robust precision and stability with peak lateral deviation of 0.2017 m, peak longitudinal deviation of 0.9744 km/h, peak heading deviation of 1.1936°, and peak centroid sideslip angle of 1.9074°. These quantitative metrics demonstrate that adaptive predictive horizon optimization, which leverages preview curvature information and state coordination, can further improve vehicle trajectory tracking accuracy while maintaining adequate stability margins.

       

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