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  • 基于事件觸發的采摘機械臂軌跡跟蹤間歇控制

    Event-triggered intermittent trajectory-tracking control for harvesting robotic manipulators

    • 摘要: 目前,機械臂廣泛應用于農業采摘領域,成為農業自動化的關鍵組成部分. 但是,采摘機械臂的連續控制策略對信息實時性要求極高,增加了控制成本,為此本文針對采摘機械臂提出了一種基于事件觸發的采摘機械臂軌跡跟蹤間歇控制策略. 首先,利用拉格朗日力學,建立考慮外部擾動的雙關節采摘機械臂的動力學模型. 利用徑向基函數(RBF)神經網絡估計采摘機械臂的未知動力學函數與外部干擾,基于反步法建立連續反饋軌跡跟蹤自適應控制器設計方法. 采用上下確界技術建立控制區與休息區的量化關系,進而提出控制區間的事件觸發控制器設計方案. 利用李亞普諾夫穩定性理論,證明采摘機械臂系統收斂到一個有界區域,并實現預期跟蹤目標. 利用閉環信號的有界性原理,證明所設計的事件觸發機制無Zeno行為. 最后,分別考慮周期性間歇和非周期性間歇,分析本文采摘機械臂控制策略的可行性與有效性. 在相同的控制輸入總量條件下,10%休息區間的間歇事件觸發策略相比于連續控制策略,控制器更新次數降低68.31%,相對于傳統PID控制,關節1的整體均方根誤差(RMSE)指標降低22.18%,關節2的整體RMSE誤差指標降低33.63%.

       

      Abstract: Robotic manipulators are extensively used in agricultural harvesting operations and represent a pivotal advancement in agricultural automation systems. Harvesting robotic manipulators operate in harsh, unstructured environments such as orchards and greenhouses, where external disturbances and unknown dynamics of the manipulator must be addressed. To enhance the trajectory-tracking precision and disturbance-rejection capabilities, continuous control strategies—particularly adaptive neural network-based approaches—have been widely implemented in harvesting robotic manipulators. However, these conventional continuous control paradigms impose stringent real-time computational requirements; consequently, persistent high-frequency monitoring of system states and manipulator dynamics is necessitated for real-time control computation and transmission, thereby incurring prohibitively high control costs. Hence, this study proposes event-triggered intermittent trajectory-tracking control for harvesting robotic manipulators to balance between control performance and control costs. First, a dual-joint harvesting robotic manipulator dynamic model is rigorously developed based on Lagrangian mechanics principles. This model comprehensively accounts for the inertial properties, Coriolis effects, gravitational loading, and disturbance inputs. To address the challenges inherent in harsh operational environments, a radial basis function neural-network architecture is implemented to estimate the unknown nonlinear dynamics and external disturbances of the system. This compensation mechanism significantly enhances the overall system stability and operational robustness under practical field conditions. Subsequently, a continuous trajectory-tracking adaptive controller is systematically designed using the backstepping control methodology. The second-order nonlinear dynamic structure of harvesting robotic manipulators inherently circumvents the mathematical complexity associated with virtual control derivation, thus rendering backstepping particularly suitable for this application. By applying the supremum-infimum technique, the total operational period is partitioned into actively controlled intervals and dormant rest phases to establish a precisely quantified relationship between control and rest intervals. The implemented strategy operates under dual operational modes: during control intervals, the controller executes event-triggered actions, whereas all control computations and transmissions are suspended during the rest intervals. This control strategy effectively reduces the computational burden and communication bandwidth requirements while significantly extending operational endurance, thereby reducing the overall control cost. Stability analysis employing the Lyapunov theory shows that under the proposed control strategy, both trajectory-tracking and neural-network estimation errors converge to a bounded region, thus enabling the desired tracking objectives to be achieved within the specified error margins. A comprehensive theoretical examination further establishes the uniform boundedness of all closed-loop signals, thus definitively confirming the absence of Zeno behavior (i.e., infinite triggering events within finite time). This critical property is governed by a strictly positive minimum inter-event time threshold, which ensures that no infinite triggering occurs during any finite operational period. Finally, the feasibility and effectiveness of the proposed control strategy are validated through periodic and aperiodic intermittent operation modes. Under an identical total control input, the event-triggered intermittent control strategy with 10% rest intervals achieved a lower controller update frequency by 68.31% compared with continuous control. Meanwhile, compared with the conventional PID control, it improved the overall RMSE for Joints 1 and 2 by 22.18% and 33.63%, respectively. These results collectively verify the strategy’s exceptional ability to achieve an optimal balance among tracking accuracy, computational cost, and communication cost in harvesting robotic manipulators.

       

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