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平面3-RRR柔性并聯(lián)機器人殘余振動主動控制
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國家自然科學(xué)基金重大研究計劃資助項目(91223201)、國家杰出青年科學(xué)基金資助項目(50825504),、NSFC-廣東聯(lián)合基金資助項目(U0934004),、中央高校基本科研業(yè)務(wù)費專項資金資助項目(2012ZP0004)和廣東省高等學(xué)校珠江學(xué)者崗位計劃資助項目(2010)


Active Residual Vibration Control of Planar 3-RRR Flexible Parallel Robots
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    摘要:

    對平面3-RRR柔性并聯(lián)機器人殘余振動主動控制問題進行了研究,?;谟邢拊ê屠窭嗜辗匠蹋⒘藥弘娞沾芍苿悠骱蛡鞲衅鞯闹悄芰簡卧倪\動方程,??紤]剛體運動和彈性變形運動的約束關(guān)系,通過組裝,,形成了3-RRR柔性并聯(lián)機器人系統(tǒng)的運動學(xué)方程,,基于模態(tài)理論把物理空間下描述的高階運動方程變換到模態(tài)空間下的低階模態(tài)方程。根據(jù)導(dǎo)出的低階模態(tài)方程,,設(shè)計了應(yīng)變速度反饋控制器和最優(yōu)狀態(tài)反饋控制器,,數(shù)值仿真結(jié)果表明:兩種控制器都能有效地抑制系統(tǒng)的殘余振動。同時,,相對于應(yīng)變速度反饋控制,,最優(yōu)狀態(tài)反饋控制能以更低的控制輸入電壓取得更好的控制效果。

    Abstract:

    A research concerning active residual vibration control of planar 3-RRR flexible parallel robots was presented. First, based on the finite element method and the Lagrange’s equation, the equations of motion of the smart beam bonded lead zirconate titanate (PZT) actuators and sensors were modeled. Considering constraint equations of rigid motion and elastic motion, the general motion equations of planar 3-RRR flexible parallel robots were determined by the compatibility. The high-order equations of the system in physical space were transformed into modal space through the modal theory. According to the low-order modal equations, both the strain rate feedback controler and the optimal state feedback controler were designed for suppressing residual vibration of the system. The numerical simulation results revealed that two kinds of controllers could effectively suppress residual vibration of the system. Moreover, comparing the strain rate feedback control, the optimal state feedback control could obtain better control results in a lower control voltage.

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張清華,張憲民.平面3-RRR柔性并聯(lián)機器人殘余振動主動控制[J].農(nóng)業(yè)機械學(xué)報,2013,44(2):232-237,266. Zhang Qinghua, Zhang Xianmin. Active Residual Vibration Control of Planar 3-RRR Flexible Parallel Robots[J]. Transactions of the Chinese Society for Agricultural Machinery,2013,44(2):232-237,266.

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  • 在線發(fā)布日期: 2013-02-04
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