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斜拉索-磁流變阻尼器非脆弱減振控制器研究
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國家自然科學(xué)基金項(xiàng)目(51675286)、浙江省教育廳一般科研項(xiàng)目(Y201941599)和浙江省大學(xué)生科技創(chuàng)新活動(dòng)計(jì)劃暨新苗人才計(jì)劃項(xiàng)目(2018R405090)


Design of Non-fragile Damping Controller for Stay Cable-Magnetorheological Damper
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    摘要:

    以抑制振蕩幅值和時(shí)間為目標(biāo),針對(duì)斜拉索-磁流變阻尼器外部擾動(dòng)和減振控制器參數(shù)不確定性問題,提出一種多性能指標(biāo)約束下的非脆弱減振控制器設(shè)計(jì)方法?;诰€性矩陣不等式(LMI)理論,利用H∞性能指標(biāo)抑制外部擾動(dòng),并以區(qū)域極點(diǎn)配置表征減振控制的快速性與穩(wěn)定性,以方差表征小振幅和振動(dòng)速度。通過Matlab中LMI工具箱對(duì)多LMI約束和線性目標(biāo)函數(shù)的凸優(yōu)化問題進(jìn)行求解,給出了多性能指標(biāo)約束的非脆弱減振控制器設(shè)計(jì)形式。以浙江省某跨海大橋C22、C13號(hào)斜拉索為實(shí)例,進(jìn)行了仿真驗(yàn)證。結(jié)果表明,在不同隨機(jī)擾動(dòng)下,該方法設(shè)計(jì)的減振控制器使不同拉索振動(dòng)狀態(tài)的振幅分別降低57.805%、74.395%,收斂時(shí)間分別縮短56.705%、77.845%。

    Abstract:

    Aiming at suppressing the amplitude and time of oscillation, the uncertainties of the disturbance of unknown external disturbances of the stay cable-magnetorheological damper control system and uncertainties in the parameters of the damping controller. Based on linear matrix inequality (LMI) theory, the H∞ performance index and nonfragile control were used to suppress external disturbances and closed-loop system parameter perturbation problems, respectively. Regional pole configuration was used to characterize the fastness and stability of vibration reduction control, and variance was used to represent small amplitude and vibration speed. The LMI toolbox in Matlab was used to solve the convex optimization problem with multiple LMI constraints and linear objective functions, and a non-fragile vibration damping controller design form with multiple performance index constraints was given. Finally, the cablestayed cables C22 and C13 of a crosssea bridge in Zhejiang Province were taken as an example for simulation verification, and the vibration reduction effects were analyzed and compared. The results showed that the vibration damping controller designed by this method not only had good immunity and stability under different random disturbances, but also could reduce the amplitudes of different cable vibration states by 57.805% and 74.395%, the reduction of convergence time was 56.705% and 77.845%, and the vibration reduction effect was better, which could meet the needs of marine engineering applications.

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馮志敏,時(shí)云飛,張剛,劉小鋒,段玉賀.斜拉索-磁流變阻尼器非脆弱減振控制器研究[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2020,51(5):411-420. FENG Zhimin, SHI Yunfei, ZHANG Gang, LIU Xiaofeng, DUAN Yuhe. Design of Non-fragile Damping Controller for Stay Cable-Magnetorheological Damper[J]. Transactions of the Chinese Society for Agricultural Machinery,2020,51(5):411-420.

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  • 收稿日期:2020-01-07
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  • 在線發(fā)布日期: 2020-05-10
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