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基于高階奇異值分解的LPV魯棒控制器設(shè)計(jì)

發(fā)布時間:2018-05-03 23:02

  本文選題:高超聲速飛行器 + 飛行包線; 參考:《北京航空航天大學(xué)學(xué)報》2016年07期


【摘要】:針對高超聲速飛行器線性變參數(shù)(LPV)模型建模中準(zhǔn)確度與復(fù)雜度之間的矛盾性,提出了一種基于網(wǎng)格化張量及高階奇異值分解(HOSVD)的凸多胞LPV模型建模及控制方法。首先基于雅可比線性化給出了大包線網(wǎng)格化模型的張量描述形式,然后提出了一種基于HOSVD的多胞LPV模型生成算法,將網(wǎng)格化模型表述為有限個線性時不變(LTI)頂點(diǎn)及權(quán)重函數(shù)的組合,并基于舍棄的奇異值給出了建模誤差的指標(biāo),最后結(jié)合某航天飛機(jī)再入段六自由度非線性模型進(jìn)行了大包線魯棒LPV控制器設(shè)計(jì)與仿真驗(yàn)證,結(jié)果表明該方法可獲得計(jì)算復(fù)雜度低且保證建模精度的LPV模型,設(shè)計(jì)的魯棒變增益控制器能夠使系統(tǒng)快速跟蹤姿態(tài)角指令信號,并能夠保證系統(tǒng)的穩(wěn)定性和魯棒性。
[Abstract]:Aiming at the contradiction between accuracy and complexity in the modeling of hypersonic vehicle with linear variable parameters, a modeling and control method of convex polycell LPV model based on gridded Zhang Liang and high order singular value decomposition (Hos VD) is proposed. In this paper, Zhang Liang's description of large packet line mesh model is given based on Jacobian linearization, and then a polycellular LPV model generation algorithm based on HOSVD is proposed. The gridded model is expressed as a combination of finite linear time-invariant vertices and weight functions, and the index of modeling error is given based on the abandoned singular value. Finally, the design and simulation of a large envelope robust LPV controller based on a nonlinear model with six degrees of freedom in a space shuttle reentry section are carried out. The results show that the proposed method can obtain a LPV model with low computational complexity and high modeling accuracy. The designed robust variable gain controller enables the system to track the signal of attitude angle quickly, and ensures the stability and robustness of the system.
【作者單位】: 北京航空航天大學(xué)自動化科學(xué)與電氣工程學(xué)院;
【基金】:國家自然科學(xué)基金(61273099) 航空科學(xué)基金(20135851041)~~
【分類號】:V249.12

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