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基于分?jǐn)?shù)階微積分的汽車空氣懸架半主動控制
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國家自然科學(xué)基金資助項(xiàng)目(51105277)和上海市科學(xué)技術(shù)委員會科研計(jì)劃項(xiàng)目(11dz1120900)


Semi-active Control of Automotive Air Suspension Based on Fractional Calculus
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    為研究分?jǐn)?shù)階微積分在汽車空氣懸架半主動控制中的應(yīng)用效果，建立了4自由度半主動空氣懸架非線性動力學(xué)模型,。采用改進(jìn)的Oustaloup濾波器算法來模擬分?jǐn)?shù)階微積分,，進(jìn)而建立分?jǐn)?shù)階天棚阻尼半主動懸架的仿真模型,，將仿真結(jié)果與被動懸架和整數(shù)階天棚阻尼半主動懸架進(jìn)行對比分析,。分析結(jié)果表明：當(dāng)汽車以20m/s的速度行駛在B級路面時(shí),，與被動懸架相比,，整數(shù)階和分?jǐn)?shù)階天棚阻尼半主動懸架的車身垂向加權(quán)加速度均方根值分別減小了31.9%和43.9%,，車身俯仰角加速度均方根值分別減小了23.1%和30.7%；基于分?jǐn)?shù)階微積分的天棚阻尼控制策略能更有效地抑制車身共振，改善乘坐舒適性,。

    Abstract:

    In order to study the application of fractional calculus in the control of semi active air suspensions, a 4-DOF nonlinear dynamic model of semi active air suspension system was built. A modified-Oustaloup filter algorithm was adopted to simulate fractional calculus. The simulation model of semi active suspension with fractional-order sky-hook damping was developed. And its simulation results were compared with those of passive suspension and semi-active suspension with integral-order sky-hook damping. The comparison results indicate that in contrast to passive suspension, when the car is running at the speed of 20m/s on grade B road, the integral-order and fractional-order sky-hook damping control strategies reduce weighted RMS (root-mean-square) values of vehicle body vertical acceleration by 31.9% and 43.9%, and decrease RMS values of pitching angular acceleration by 23.1% and 30.7%. The results further show that the semi-active control based on fractional calculus could suppress vehicle body resonance more effectively.

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吳光強(qiáng),黃煥軍,葉光湖.基于分?jǐn)?shù)階微積分的汽車空氣懸架半主動控制[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2014,45(7):19-25. Wu Guangqiang, Huang Huanjun, Ye Guanghu. Semi-active Control of Automotive Air Suspension Based on Fractional Calculus[J]. Transactions of the Chinese Society for Agricultural Machinery,2014,45(7):19-25.

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  • 收稿日期:2013-06-07
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  • 在線發(fā)布日期: 2014-07-10
  • 出版日期: 2014-07-10
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