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  • 約束與時滯影響下的重型礦用卡車路徑跟蹤控制

    Path tracking control of heavy mining trucks under the constraint and time delay

    • 摘要: 無人駕駛重型礦用卡車具有明顯的轉向機構約束和較長的信號時滯,在急彎與時滯共同作用下路徑跟蹤性能容易下降甚至失控。針對急彎場景中系統響應滯后造成的誤差增大問題,引入參考路徑未來航向并結合關鍵參考點位移誤差構建預瞄糾偏結合控制算法(Preview-correct control, PCC),提升入彎與出彎階段的跟蹤精度。針對信號時滯導致的控制執行偏差,基于PCC輸出結構與車輛控制特性建立虛擬約束處理方法,并形成多步運動補償型時滯補償器,用于預測時滯期間的車輛運動狀態。最終將PCC與時滯補償器整合,構建面向重型礦用卡車的路徑跟蹤控制系統。經過空載與滿載兩種工況的仿真測試與實車實驗驗證,所構建的控制系統在轉向約束顯著及時滯達0.4s的條件下均表現出較高精度和實時性。在20km/h空載仿真中,PCC的位移誤差最大幅值為0.1118m,而PID(Proportional-integral-derivative)、預瞄PID等控制方法在入彎后誤差發散,同時,PCC的實時性指標明顯優于非線性模型預測控制(Nonlinear model predictive control, NMPC)。在滿載且存在0.4s時滯的情況下,結合時滯補償器的PCC系統將位移誤差最大幅值控制在0.0949m,而未補償的PCC與NMPC均出現誤差發散。兩組實車實驗的位移誤差最大幅值分別為0.2078m和0.1768m,車輛均能穩定通過急彎,無失控情況。結果表明,該控制系統能夠在真實約束與長時滯場景下顯著提升重型礦用卡車路徑跟蹤性能,具備工程應用與部署價值。

       

      Abstract: Heavy mining trucks are key equipment in open-pit haulage systems, where the available roadway space is often narrow in relation to the vehicle's size, resulting in high driving difficulty. With the rapid advancement of mining intelligence, autonomous-driving technology has become an essential means of improving production efficiency, ensuring operational safety, and reducing operating costs. As a core component of autonomous-driving systems, path tracking control plays a decisive role in ensuring stable vehicle motion along a reference path. However, heavy-duty mining trucks exhibit pronounced steering-mechanism constraints and significant signal transmission delays. Under the combined influence of sharp curves and long delays, the path-tracking system tends to suffer sluggish responses, rapidly increasing tracking errors, and even instability. Existing control methods struggle to simultaneously handle the compound effects of steering constraints and time delay, limiting their engineering applicability. To address the response lag caused by front-wheel steering-rate constraints in sharp-curve environments, a preview-correct control (PCC) algorithm is developed by introducing the future heading of the reference path as preview information and incorporating the key-point displacement error. The preview component improves steering proactiveness, while the correction component enhances responsiveness to current deviations, enabling stable posture adjustments during curve entry, mid-curve, and exit. PCC does not rely on complex models or high-performance computing platforms, making it suitable for real-time operation on low-power onboard controllers. To handle the widespread presence of signal transmission delay in autonomous-driving systems, a virtual-constraint treatment method is established by analyzing the PCC output structure and the characteristics of the front-wheel steering-rate constraint. On this basis, a multi-step motion–compensation delay compensator is constructed to predict the vehicle’s posture evolution during the delay interval and generate new control inputs that counteract the delay effect. By integrating PCC with the delay compensator, a path-tracking control system capable of simultaneously handling steering-mechanism constraints and long delays is achieved for heavy-duty mining trucks. Simulations were conducted under both unloaded and fully-loaded conditions, followed by full-load field experiments. In unloaded simulations at 20 km/h on a U-shaped curve with a radius of 35 m, PCC achieved a maximum displacement error of 0.1118 m, which is significantly more accurate than P-PID and PID, and close to NMPC, while its average computation time was only 0.2193 ms, far outperforming NMPC in real-time capability. Under fully-loaded conditions with a 0.4 s signal delay, PCC combined with the delay compensator maintained the maximum displacement error within 0.0949 m, whereas uncompensated PCC and NMPC both exhibited error divergence in sharp-curve sections. This demonstrates the critical role of the proposed compensation strategy in ensuring system stability under long-delay conditions. The compensator increased the average computation time by only 0.0498 ms, imposing a negligible impact on real-time performance. Two sets of full-load field tests were conducted with an actual signal delay of approximately 0.4 s, using the same U-shaped curve. The maximum displacement errors were 0.2078 m and 0.1768 m, respectively. In both tests, the vehicle navigated the sharp curve stably without loss of control or noticeable yaw deviations. Overall, simulation and experimental results demonstrate that the proposed control system can maintain stable and reliable path-tracking performance under significant steering-mechanism constraints and long signal delays, achieving a favorable balance among accuracy, real-time capability, and engineering deployability. It is therefore well-suited for practical autonomous-driving applications in heavy-duty mining trucks.

       

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