高超声速飞行器预设性能反演控制方法设计

doi:10.13700/j.bh.1001-5965.2018.0463

北京航空航天大学学报 ›› 2019, Vol. 45 ›› Issue (4): 650-661.doi: 10.13700/j.bh.1001-5965.2018.0463

高超声速飞行器预设性能反演控制方法设计

李小兵¹, 赵思源², 卜祥伟¹, 何阳光²

1. 空军工程大学防空反导学院, 西安 710051;
2. 空军工程大学研究生院, 西安 710051

收稿日期:2018-07-31 出版日期:2019-04-20 发布日期:2019-04-26
通讯作者: 李小兵 E-mail:1098547574@qq.com
作者简介:李小兵,男,教授。主要研究方向:空天拦截器制导控制与仿真;赵思源,男,硕士研究生。主要研究方向:空天拦截器制导控制与仿真。
基金资助:
国家自然科学基金（61603410）

Design of prescribed performance backstepping control method for hypersonic flight vehicles

LI Xiaobing¹, ZHAO Siyuan², BU Xiangwei¹, HE Yangguang²

1. Air and Missile Defense College, Air Force Engineering University, Xi'an 710051, China;
2. Graduate College, Air Force Engineering University, Xi'an 710051, China

Received:2018-07-31 Online:2019-04-20 Published:2019-04-26
Supported by:
National Natural Science Foundation of China (61603410)

摘要/Abstract

摘要： 为解决吸气式高超声速飞行器的飞行控制问题，提出了一种新型预设性能神经反演控制器设计方法。通过构造预设性能函数，保证速度跟踪误差和高度跟踪误差能够按照预设的收敛速度、超调量及稳态误差收敛至期望的区域，同时满足系统预设的瞬态性能和稳态精度。在反演控制设计结构下，引入径向基函数（RBF）神经网络对模型未知函数及不确定项进行逼近，提高了控制系统的鲁棒性。引入的RBF神经网络中仅有一个参数需要在线更新，有效提高了控制准确性，避免了通常反演控制方法中经常出现的"微分膨胀问题"，并降低了计算量。通过仿真实验验证了所设计控制系统的有效性和可行性。

关键词: 高超声速飞行器, 预设性能, 反演控制, 瞬态性能, 径向基函数(RBF)神经网络

Abstract: In order to solve the flight control problem of the air-breathing hypersonic vehicle, a new design method of neural inversion controller with prescribed performance was proposed. By constructing a prescribed performance function, it is ensured that the velocity tracking error and the altitude tracking error can converge to a desired area according to the prescribed convergence speed, overshoot amount and steady state error, and satisfy the preset transient performance and steady state accuracy of the system. Under the backstepping control design structure, the radial basis function(RBF) neural network was introduced to approximate the model unknown function and uncertainties, which improved the robustness of the control system. Only one parameter of the introduced RBF neural network needed to be updated online, which effectively improved the control accuracy, avoided the "differential expansion problem" in the backstepping control method, and reduced the burden of calculation. Finally, the simulation experiments verify the effectiveness and feasibility of the designed control system.

Key words: hypersonic flight vehicles, prescribed performance, backstepping control, transient performance, radial basis function (RBF) neural network

中图分类号:

V448

李小兵, 赵思源, 卜祥伟, 何阳光. 高超声速飞行器预设性能反演控制方法设计[J]. 北京航空航天大学学报, 2019, 45(4): 650-661.

LI Xiaobing, ZHAO Siyuan, BU Xiangwei, HE Yangguang. Design of prescribed performance backstepping control method for hypersonic flight vehicles[J]. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2019, 45(4): 650-661.

参考文献

[1] 孙长银,穆朝絮,余瑶.近空间高超声速飞行器控制的几个科学问题研究[J].自动化学报,2013,39(11):1901-1913.SUN C Y,MU C X,YU Y.Some control problems for near space hypersonic vehicles[J].Acta Automatica Sinica,2013,39(11):1901-1913(in Chinese).
[2] 黄琳,段志生,杨剑影.近空间高超声速飞行器对控制科学的挑战[J].控制理论与应用,2011,28(10):1496-1505.HUANG L,DUAN Z S,YANG J Y.The challenge to control science of near space hypersonic vehicles[J].Control Theory and Application,2011,28(10):1496-1505(in Chinese).
[3] SOLOWAY D I,OUZTS P J,WOLPERT D H,et al.The role of guidance,navigation,and control in hypersonic vehicle multidisciplinary design and optimization:AIAA-2009-7329[R].Reston:AIAA,2009.
[4] 董朝阳,路遥,王青.高超声速飞行器指令滤波反演控制[J].宇航学报,2016,37(8):957-963.DONG Z Y,LU Y,WANG Q.Command filtered backstepping control for hypersonic vehicles[J].Journal of Astronautics,2016,37(8):957-963(in Chinese).
[5] FIORENTINI L.Nonlinear adaptive controller design for air-breathing hypersonic vehicles[D].Columbus:The Ohio State University,2010.
[6] FIORENTINI L,SERRANI A,BOLENDER M A,et al.Nonlinear robust adaptive control of flexible air-breathing hypersonic vehicles[J].Journal of Guidance,Control,and Dynamics,2009,32(2):401-406.
[7] BOLENDER M A,DOMAN D B.Nonlinear longitudinal dynamical model of an air-breathing hypersonic vehicle[J].Journal of Spacecraft and Rockets,2007,44(2):374-387.
[8] PARKER J T,SERRANI A,YURKOVICH S,et al.Control-oriented modeling of an air-breathing hypersonic vehicle[J].Journal of Guidance,Control,and Dynamics,2007,30(3):856-869.
[9] 李昭莹,余令艺,刘昊,等.高超声速飞行器非线性鲁棒控律设计[J].控制理论与应用,2016,33(1):62-69.LI Z Y,YU L Y,LIU H,et al.Nonlinear robust controller design for hypersonic vehicles[J].Control Theory & Applications,2016,33(1):62-69(in Chinese).
[10] XU H J,MIRMIRANI M D,IANNOU P A.Adaptive sliding mode control design for a hypersonic flight vehicle[J].Journal of Guidance,Control,and Dynamics,2004,27(5):829-838.
[11] 余朝军,江驹,甄子洋,等.高超声速飞行器弹性自适应控制方法[J].哈尔滨工程大学学报,2018,39(6):1026-1031.YU C J,JIANG J,ZHEN Z Y,et al.A novel resilient adaptive control scheme for hypersonic vehicles[J].Journal of Harbin Engineering University,2018,39(6):1026-1031(in Chinese).
[12] ZONG Q,WANG F,SU R,et al.Robust adaptive backstepping tracking control for a flexible air-breathing hypersonic vehicle subject to input constraint[J].Journal of Aerospace Engineering,2015,229(1):10-25.
[13] GAO D X,WANG S X,ZHANG H J. A singularly perturbed system approach to adaptive neural back-stepping control design of hypersonic vehicles[J]. Journal of Intelligent and Robotic Systems,2014,73(1):249-259.
[14] BIN X.Robust adaptive neural control of flexible hypersonic flight vehicle with dead-zone input nonlinearity[J].Nonlinear Dynamics,2015,80(3):1509-1520.
[15] BECHLIOULIS C P,ROVITHAKIS G A.Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance[J].IEEE Transactions on Automatic Control,2008,53(9):2090-2099.
[16] BECHLIOULIS C P,ROVITHAKIS G A.Adaptive control with guaranteed transient and steady state tracking error bounds for strict feedback systems[J].Automatica,2009,45(2):532-538.
[17] 王鹏飞,王洁,时建明,等.高超声速飞行器预设性能反演鲁棒控制[J].电机与控制学报,2017,21(2):94-102.WANG P F,WANG J,SHI J M,et al.Prescribed performance back-stepping robustness control of a flexible hypersonic vehicle[J].Electric Machines and Control,2017,21(2):94-102(in Chinese).
[18] 张扬,吴文海,胡云安,等.基于全状态预设性能的受限制令反演控制器设计[J].控制与决策,2018,33(3):479-485.ZHANG Y,WU W H,HU Y A,et al.Constrained command backstepping controller design under full state prescribed performance[J].Control and Decision,2018,33(3):479-485(in Chinese).
[19] 卜祥伟.高超声速飞行器纵向运动非线型控制技术[M].西安:西安电子科技大学出版社,2018:16-18.BU X W.Nonlinear control technology for longitudinal motion of hypersonic vehicles[M].Xi'an:Xidian University Press,2018:16-18(in Chinese).
[20] BU X W,WU X Y,HUANG J Q,et al.Minimal-learning-parameter based simplified adaptive neural back-stepping control of flexible air-breathing hypersonic vehicles without virtual controllers[J].Neurocomputing,2016,175:816-825.
[21] 李惠峰.高超声速飞行器制导与控制技术(下)[M].北京:中国宇航出版社,2012:469-473.LI H F.Hypersonic vehicles guidance and control technology(Ⅱ)[M].Beijing:China Aerospace Press,2012:469-473(in Chinese).
[22] 唐意东,李小兵,夏训辉.高超声速飞行器弱抖振反演滑模控制律设计[J].导弹与航天运载技术,2014,17(6):17-30.TANG Y D,LI X B,XIA X H.Design of weak buffet back stepping sliding mode control law for hypersonic vehicles[J].Missiles and Space Vehicles,2014,17(6):17-30(in Chinese).
[23] 高道祥,孙增圻,罗熊,等.基于Back-stepping的高超声速飞行器模糊自适应控制[J].控制理论与应用,2008,25(5):805-810.GAO D X,SUN Z Y,LUO X,et al.Fuzzy adaptive control for hypersonic vehicle via Back-stepping method[J].Control Theory and Application,2008,25(5):805-810(in Chinese).
[24] SANNER R M,SLOTINE J E.Gaussian networks for direct adaptive control[J].IEEE Transactions on Neural Networks,1992,3(6):837-863.
[25] 胡云安,耿宝亮,盖俊峰.初始误差未知的不确定系统预设性能反演控制[J].华中科技大学学报(自然科学版),2014,42(8):43-47.HU Y A,GENG B L,GAI J F.Prescribed performance backstepping control for uncertain systems with unknown initial errors[J].Journal of Huazhong University of Science and Technology(Natural Science Edition),2014,42(8):43-47(in Chinese).
[26] 卜祥伟,吴晓燕,马震,等.基于状态重构的吸气式高超声速飞行器鲁棒反演控制器设计[J].固体火箭技术,2015,38(3):314-319.BU X W,WU X Y,MA Z,et al.State-reconstruction-based robust backstepping controller of air-breathing hypersonic vehicles[J].Journal of Solid Rocket Technology,2015,38(3):314-319(in Chinese).
[27] BU X W,WU X Y,ZHANG R,et al.Tracking differentiator design for the robust backstepping control of a flexible air-breathing hypersonic vehicle[J].Journal of the Franklin Institute,2015,352(4):1739-1765.

高超声速飞行器预设性能反演控制方法设计

Design of prescribed performance backstepping control method for hypersonic flight vehicles

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