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基于多目標(biāo)約束的機(jī)器人復(fù)雜軌跡優(yōu)化方法
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浙江省自然科學(xué)基金項(xiàng)目(LQ22E050022)、國(guó)家自然科學(xué)基金項(xiàng)目(52175032)和浙江省“尖兵領(lǐng)雁”重點(diǎn)項(xiàng)目(2023C01180,、2022C01101)


Multi-objectives Optimization-based Method for Complex Trajectory Planning of Manipulators
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    摘要:

    工業(yè)及農(nóng)業(yè)領(lǐng)域存在諸多復(fù)雜場(chǎng)景,使得機(jī)器人常面臨由大量非連續(xù)離散局部路徑組成的復(fù)雜軌跡,,合理的運(yùn)動(dòng)規(guī)劃是機(jī)器人實(shí)現(xiàn)預(yù)期作業(yè)目標(biāo)的首要基礎(chǔ),。本文提出一種基于非支配遺傳算法(Non-dominated sorting genetic algorithm, NSGA-Ⅱ)的多目標(biāo)綜合優(yōu)化方法,算法基于個(gè)體的相互支配關(guān)系進(jìn)行分層并引入“擁擠度”指標(biāo)來(lái)表征個(gè)體間的差異性,從而為保持遺傳過(guò)程的種群多樣性提供了有力支撐,。同時(shí)建立了機(jī)器人運(yùn)動(dòng)學(xué)模型并構(gòu)造了縮短機(jī)器人空載路程,、運(yùn)動(dòng)時(shí)間及關(guān)節(jié)沖擊的路徑序列優(yōu)化函數(shù),并在笛卡爾空間與關(guān)節(jié)空間進(jìn)行了高階樣條擬合與插值規(guī)劃,,顯著提升了空間軌跡的光順性及幾何特性,。基于NSGA-Ⅱ生成空間Pareto最優(yōu)前沿解集,,解決了機(jī)器人運(yùn)動(dòng)時(shí)間短,、關(guān)節(jié)沖擊小、任務(wù)路徑優(yōu)等約束下的多目標(biāo)優(yōu)化問(wèn)題,。優(yōu)化后機(jī)器人運(yùn)動(dòng)路徑長(zhǎng)度縮減74%,,作業(yè)效率提升33.44%,關(guān)節(jié)穩(wěn)定性平均可增強(qiáng)50.97%,,通過(guò)仿真與實(shí)驗(yàn),,驗(yàn)證了算法在改善機(jī)器人運(yùn)動(dòng)效率、連續(xù)性和非突變性等方面具有顯著效果,。

    Abstract:

    In both industrial and agricultural sectors, robots frequently encounter complex scenarios that consist of numerous discontinuous and discrete local paths, forming challenging trajectories. Rational motion planning serves as the primary foundation for robots to achieve their expected operational goals. A multi-objective comprehensive optimization method was proposed based on the non-dominated sorting genetic algorithmⅡ (NSGA-Ⅱ). The algorithm operated on the principle of hierarchical sorting based on the dominance relationship between individuals, and introduced a “crowding distance” index to characterize the diversity between individuals, thereby providing robust support for maintaining population diversity during the genetic process. Simultaneously, a kinematic model of the robot was established, and a path sequence optimization function was constructed to reduce the robot’s unloaded travel distance, motion time, and joint impact. Higher-order spline fitting and interpolation planning were implemented in Cartesian and joint spaces, significantly enhancing the smoothness and geometric characteristics of the spatial trajectory. The main contribution lied in generating a spatial Pareto optimal frontier solution set based on NSGA-Ⅱ, which effectively solved the multi-objective optimization problem under constraints such as short robot motion time, small joint impact, and optimal task path. After optimization, the robot’s travel path length was reduced by 74%, operational efficiency was improved by 33.44%, and joint stability was enhanced by an average of 50.97%. Through simulation and experimentation, the algorithm’s significant effectiveness in improving robot motion efficiency, continuity, and non-mutability was verified.

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王偉,徐澤銓.基于多目標(biāo)約束的機(jī)器人復(fù)雜軌跡優(yōu)化方法[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2023,54(11):431-439. WANG Wei, XU Zequan. Multi-objectives Optimization-based Method for Complex Trajectory Planning of Manipulators[J]. Transactions of the Chinese Society for Agricultural Machinery,2023,54(11):431-439.

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  • 收稿日期:2023-06-21
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  • 在線發(fā)布日期: 2023-11-10
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