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基于多層MPC框架的類車機器人調速路徑跟蹤

Path tracking via speed adjustment for car-like robots based on a multilayer MPC framework

  • 摘要: 針對類車機器人路徑跟蹤控制的研究工作尚未考慮主動調速與路徑跟蹤之間的關聯,現有控制系統為了保證較高的路徑跟蹤控制精度只能將縱向速度設置為較低值. 同時,在其他移動裝備的主動調速路徑跟蹤控制策略中,以模型預測控制(Model predictive control, MPC)為基礎的多層模型預測控制(Multilayer MPC, MMPC)具有對于誤差來源兼容性較強的優勢,但是現有系統采用速度較高時精度不佳的線性模型預測控制(Linear MPC, LMPC)作為底層路徑跟蹤控制算法,因此縱向行駛速度仍然較低. 針對這些問題,結合基于MMPC的主動調速路徑跟蹤控制框架、精確性和實時性均較好的前饋模型預測控制(Feedforward MPC, FMPC)底層路徑跟蹤控制算法與長時域預測精度較高的非線性模型預測控制(Nonlinear MPC, NMPC)頂層速度決策算法,構建了新的基于MMPC框架的主動調速路徑跟蹤控制系統. 通過MATLAB和CarSim聯合仿真對提出的MMPC系統進行了測試. 提出的MMPC系統可以在平均行駛速度較高時實現較高精度的路徑跟蹤,在平均行駛速度為4.2859 m·s?1時,位移誤差的最大幅值為0.1838 m,航向誤差的最大幅值為0.1350 rad. 在縱向速度較高時,提出的MMPC相比恒速的FMPC、NMPC系統和已有的MMPC系統精度更高,在相同工況下,FMPC系統誤差發散,提出的MMPC系統可以相對已有的NMPC和MMPC系統將位移誤差最大幅值減小46.29%和62.22%. 在能夠保障較高精度時,提出的MMPC系統的平均行駛速度較高,相比已有的FMPC和MMPC系統,可以將平均行駛速度提高43.06%和317.48%,與NMPC系統指標接近.

     

    Abstract: Car-like robots are front wheel steering robots with a structure similar to that of unmanned vehicles and are widely used in manufacturing, warehousing, and other industries because of their advantages, such as simple structure and high load-bearing capacity. The path tracking control of car-like robots, characterized by a small range of system constraints and a low degree of component standardization, is garnering increasing widespread attention. Several studies have been conducted on this topic; however, these studies have not considered the correlation between active speed adjustment and path tracking. Existing control systems set the longitudinal speed to a low value to ensure high path-tracking control accuracy. Meanwhile, among active speed control strategies for other mobile equipment, multilayer model predictive control (MMPC), based on model predictive control (MPC), has the advantage of high compatibility with error sources. However, existing MMPC systems adopt linear MPC (LMPC) as the bottom path tracking control algorithm. Typical LMPC design methods are unable to take into account the reference path information in front of car-like robots and are not accurate enough at high longitudinal speeds; therefore, the longitudinal speeds of existing MMPC systems are still low. To address these problems, an MMPC-based framework for active speed adjustment and path-tracking control is introduced. The framework combines a feedforward MPC (FMPC) bottom path-tracking control algorithm with high accuracy and real-time performance and a nonlinear MPC (NMPC) top-speed adjustment algorithm with high long-term predictive accuracy. This new system aims to enhance car-like robots’ path tracking capabilities while actively adjusting their speed. The effectiveness of the proposed MMPC system is validated through joint simulations using MATLAB and CarSim. Results show that the proposed system achieves high-accuracy path tracking at high average traveling speeds, recording a maximum displacement error of 0.1838 m and a heading error of 0.1350 rad at an average traveling speed of 4.2859 m·s?1. Compared with constant-speed FMPC, NMPC systems, and the existing MMPC system, the proposed system demonstrated higher accuracy at higher longitudinal speeds. Under the same working conditions, the error of the FMPC system is dispersed, and the proposed MMPC system can reduce the maximum displacement error by 46.29% and 62.22% compared with the existing NMPC and MMPC systems. When higher accuracy of path tracking can be guaranteed, the average traveling speed of the proposed MMPC system is higher, and this system can increase the average traveling speed by 43.06% and 317.48% compared with existing FMPC and MMPC systems with smaller errors, approaching the performance index of the NMPC system.

     

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