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冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)動(dòng)力學(xué)模型TVC優(yōu)化H∞魯棒控制
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國(guó)家自然科學(xué)基金項(xiàng)目(51575232)、國(guó)家自然科學(xué)青年基金項(xiàng)目(51705322)和上海市青年科技英才揚(yáng)帆計(jì)劃項(xiàng)目(19YF1434600)


H∞ Control of TVC Optimization Based on Redundant Actuated Parallel Manipulator Dynamics Modeling
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    摘要:

    針對(duì)冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)控制系統(tǒng)設(shè)計(jì)未結(jié)合動(dòng)力學(xué)建模,未考慮伺服閥動(dòng)、靜態(tài)特性等問(wèn)題,基于第二類Lagrange方程和流體力學(xué)動(dòng)力學(xué)知識(shí),對(duì)動(dòng)平臺(tái)及液壓系統(tǒng)中機(jī)械、液壓系統(tǒng)建模,建立電液伺服系統(tǒng)五階傳遞函數(shù)模型,通過(guò)主導(dǎo)能量最優(yōu)模型將其降為三階模型。以此為控制對(duì)象提出了基于三矢量控制(Three vector control,TVC)反饋優(yōu)化的H∞魯棒控制策略(TVC-ROB),并與TVC前饋反饋控制、TVC反饋優(yōu)化的模糊自適應(yīng)PID控制(TVC-FAPID)兩種控制策略在階躍信號(hào)、線性掃頻、實(shí)際武廣譜路譜等進(jìn)行對(duì)比分析。結(jié)果表明,TVC反饋的提出有效拓展了系統(tǒng)頻寬,且提高液壓系統(tǒng)阻尼比和固有頻率,因此TVC-ROB在高頻跟蹤性能上改善較為明顯,其位移誤差百分比僅為1.26%,且引入的H∞魯棒控制提高了系統(tǒng)抗擾、抗噪性能。

    Abstract:

    Aiming at the problem that the control system of redundant driven parallel mechanism is not combined with dynamic modeling and the dynamic and static characteristics of servo valve are not considered in the design of the control system, a fifthorder transfer function model of electrohydraulic servo system was presented based on Lagrange equation of the second kind and hydrodynamics to model the mechanical and hydraulic systems of the moving platform and hydraulic system. The dominant energy optimal model was reduced to a three order model. Reducing order to more easily processed order was convenient for subsequent dynamic control. A H∞ robust control strategy based on TVC feedback optimization was proposed for the control object. It was further compared with TVC control and TVC-FAPID in step signal, linear sweep and actual broadspectrum. The comparison showed that the proposed TVC feedback effectively expanded the systems bandwidth and improved the damping ratio and natural frequency of the hydraulic system. So that H∞ robust controller can compensate the phase lag of high frequency signal. Therefore, the TVC-ROB improved the tracking performance of the highfrequency system obviously, and the displacement error percentage was only 1.26%. The H∞ control was introduced to improve the antidisturbance and antinoise performance of the system. In the high frequency section, the control energy loudness of TVC-ROB and TVC-FAPID strategies was much lower than that of TVC control, which tended to be stable. In the low frequency band, the parameters tuning of TVC control strategy was simple and easy to implement. So the TVC control strategy was often applied in engineering field. The research results had a strong guiding significance and reference value for the design of controller.

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王啟明,蘇建,高大威,呂志超,宗高強(qiáng).冗余驅(qū)動(dòng)并聯(lián)機(jī)構(gòu)動(dòng)力學(xué)模型TVC優(yōu)化H∞魯棒控制[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2019,50(5):403-412. WANG Qiming, SU Jian, GAO Dawei, LV Zhichao, ZONG Gaoqiang. H∞ Control of TVC Optimization Based on Redundant Actuated Parallel Manipulator Dynamics Modeling[J]. Transactions of the Chinese Society for Agricultural Machinery,2019,50(5):403-412.

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  • 收稿日期:2018-10-22
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  • 在線發(fā)布日期: 2019-05-10
  • 出版日期: 2019-05-10
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