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基于遺傳算法的雙足機(jī)器人足踝蹬地參數(shù)優(yōu)化
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國家自然科學(xué)基金項(xiàng)目(91848204、91948302、51675222)和國家重點(diǎn)研發(fā)計(jì)劃項(xiàng)目(2018YFC2001300)


Parameters Optimization of Ankle Push-off of Planar Bipedal Robot Based on Genetic Algorithm
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    摘要:

    為提高雙足機(jī)器人步態(tài)的經(jīng)濟(jì)性,研究了足踝蹬地扭矩和蹬地時(shí)機(jī)對行走速度和能耗的影響?;贛atlab/Simulink建立了雙足機(jī)器人仿真模型并搭建了控制程序,以行走速度為目標(biāo)函數(shù),利用遺傳算法對不同步長下足踝蹬地扭矩和蹬地時(shí)機(jī)進(jìn)行優(yōu)化,以兩腿間夾角確定步長。利用無量綱速度和無量綱能耗作為評價(jià)雙足機(jī)器人運(yùn)動(dòng)性能指標(biāo),仿真結(jié)果表明,隨著步長由40°增加到60°,機(jī)器人行走速度和能耗均隨之增加。當(dāng)步長為60°,蹬地扭矩為41N·m,蹬地時(shí)機(jī)為整個(gè)步態(tài)周期的43.82%時(shí),雙足機(jī)器人行走速度最大為0.48,對應(yīng)能耗為2.97。以速度能耗比作為評價(jià)機(jī)器人步態(tài)經(jīng)濟(jì)性指標(biāo),仿真結(jié)果表明,雙足機(jī)器人在步長50°,蹬地扭矩為35N·m,蹬地時(shí)機(jī)為步態(tài)周期的45.18%時(shí),機(jī)器人步態(tài)的經(jīng)濟(jì)性更高,對應(yīng)速度和能耗分別為0.43和2.26。機(jī)器人足底地反力出現(xiàn)3個(gè)波峰,當(dāng)步長為50°和60°時(shí),隨著足踝蹬地階段的出現(xiàn),足底地反力出現(xiàn)第3個(gè)波峰,峰值分別為245.45N和281.23N。本研究可為雙足機(jī)器人在特定步長下選取合適的蹬地參數(shù)提供重要參考依據(jù)。

    Abstract:

    Ankle push-off is defined as the generation stage of burst of positive power by muscle-tendon units about the ankle joint during the step-to-step transition in human walking. It primarily contributes to both leg swing and to center of mass (COM) acceleration during human walking. However, the influence of ankle push-off on the walking speed and mechanical cost of transport of biped robots has been paid less attention. In order to improve the motion economy of the biped robot, the influence of the amount and timing of ankle push-off on the walking speed was studied. The simulation model of planar biped robot was established in Matlab/Simulink and the corresponding control program was built. In trajectory planning module, the quintic polynomial function was used to generate the motion trajectory of hip and knee joints during stance and swing phases. The PD controller was used for both hip and knee joints of the simulated robot. The application process of ankle torque can be divided into four stages: early stance stage, push-off stage, early swing stage and late swing stage. The push-off height was corresponding to the push-off timing. When the height of the ankle joint of the leading leg was less than the push-off height and the hip joint angle was within the range of -0.6θ~-0.4θ, the ankle joint of the trailing leg entered the push-off stage and the amount of ankle torque was the push-off torque. When the ankle angle was greater than 20°, the push-off phase ended and the trailing leg would start to swing. In order to prevent the foot of swing leg from scuffing with the ground in the early swing stage, the ankle joint was controlled within a certain angle range using the state machine of ankle joint torque. The ankle joint was in passive mode in the late swing stage and the early stance stage. With walking speed as the objective function, genetic algorithm was used to optimize the amount and timing of ankle push-off under different step lengths. Taking the dimensionless speed and dimensionless mechanical cost of transport as indicators to evaluate the performance of biped robots, the results showed that as the step length was increased from 40°to 60°, the walking speed and mechanical cost of transport of the robot was increased accordingly. When the step length was 60°, the torque of ankle push-off was 41N·m, and the push-off timing was 43.82% of the one gait cycle, the maximum walking speed of the simulated robot was 0.48, and the corresponding mechanical cost of transport was 2.97. Taking the ratio of speed to mechanical cost of transport as an index to evaluate the economy of robot gait, the results showed that the simulation robot obtained the economy gait when the step length was 50°, the torque of push-off was 35N·m, and the push-off timing was 45.18% of the gait period. The corresponding speed and mechanical cost of transport were 0.43 and 2.26, respectively. In addition, the ground reaction forces of the robot had three wave peaks. When the step length was 50° and 60°, with the appearance of the ankle push-off stage (43%~60%), the ground reaction force appeared the third wave peak and the peak values were 245.45N and 281.23N, respectively. The results provided a reference for the biped robot to select appropriate ankle push-off parameters under a specific step length.

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吉巧麗,錢志輝,任雷,任露泉.基于遺傳算法的雙足機(jī)器人足踝蹬地參數(shù)優(yōu)化[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2020,51(s1):584-591. JI Qiaoli, QIAN Zhihui, REN Lei, REN Luquan. Parameters Optimization of Ankle Push-off of Planar Bipedal Robot Based on Genetic Algorithm[J]. Transactions of the Chinese Society for Agricultural Machinery,2020,51(s1):584-591.

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  • 收稿日期:2020-07-30
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  • 在線發(fā)布日期: 2020-11-10
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