火星飞机的多胞LPV鲁棒控制器设计  

Robust Variable Gain Control for Mars Airplane Based on Polytopic LPV

作　　者：关皓天 赵友铖 倪昆[1] 张庆振[1] Guan Hao-tian;Zhao You-cheng;Ni Kun;Zhang Qing-zhen(Beijing University of Aeronautics and Astronautics, Beijing, 100191)

机构地区：[1]北京航空航天大学,北京100191

出　　处：《导弹与航天运载技术》2018年第1期69-73,共5页Missiles and Space Vehicles

摘　　要：随着火星探测的日益发展,火星飞机作为一种中尺度探测手段,能够很好地补充轨道和地表探测器之间的能力空白。针对火星飞机的强非线性、参数不确定性的特点,提出了一种火星飞机的多胞LPV变增益H∞控制器设计方法。首先依据火星飞机的纵向非线性模型,在进行研究的飞行包线内选取适量平衡工作点进行雅可比线性化,通过线性化后的线性时不变系统数值拟合得到系统的LPV模型;然后通过张量的高阶奇异值分解理论进行张量积建模,实现火星飞机LPV模型的多胞形表示。最后设计基于LMI求解的鲁棒变增益控制器,使对象能够克服不利特性的影响,能够完成指令信号的快速跟踪并且使系统具有较强的鲁棒性。X With the increasing development of Mars detection,Mars airplane as a mesoscale detection means,can be a good complement to fill the ability blank between the track detector and the surface detector.Considering the strong nonlinearity and parameter uncertainty of Mars aircraft,a variable gain H∞control method for Mars airplane based on polytopic Linear Parameter Varying(LPV)system is proposed.Firstly,according to the longitudinal nonlinear model of the Mars aircraft,appropriate balance ofwork points are selected to conduct Jacobian linearization,the LPV model is obtained by numerical fitting of the LTI systems.Then,the tensor product model is carried out by High Order Singular Value Decomposition(HOSVD)theory of tensor,completing the polytopic representation of the LPV model.Finally,a robust variable gain controller based on LMI solution is designed,which can overcome the negative effects and complete the fast tracking of command signal so that the system has strong robustness.

关 键 词：火星飞机 高阶奇异值分解 多胞形LPV 系统 变增益H∞控制 

分 类 号：V448.222[航空宇航科学与技术—飞行器设计]