## 留言板

 引用本文: 彭程, 王新民, 谢蓉, 等 . 考虑系统不确定性的高超声速飞行器容错控制[J]. 北京航空航天大学学报, 2016, 42(7): 1414-1421.
PENG Cheng, WANG Xinmin, XIE Rong, et al. Fault-tolerant control for hypersonic vehicle with system uncertainty[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1414-1421. doi: 10.13700/j.bh.1001-5965.2015.0462(in Chinese)
 Citation: PENG Cheng, WANG Xinmin, XIE Rong, et al. Fault-tolerant control for hypersonic vehicle with system uncertainty[J]. Journal of Beijing University of Aeronautics and Astronautics, 2016, 42(7): 1414-1421. (in Chinese)

• 中图分类号: TP13

## Fault-tolerant control for hypersonic vehicle with system uncertainty

• 摘要: 针对一类含有执行器失效故障和范数有界不确定性的系统，提出了一种鲁棒容错跟踪控制设计方法。该方法利用有界实引理，给出了保证闭环系统稳定且满足鲁棒性能要求的线性矩阵不等式（LMI）的表达式；为了削弱控制器的保守性，使用不同的Lyapunov变量对应不同的系统状态;由此带来的非凸优化问题，发展了一种迭代线性矩阵不等式算法。考虑到该迭代算法的收敛性取决于初值的选择，经过推导给出了一种求解合适初值的算法。将该算法应用于高超声速飞行器X-33跟踪控制器的设计，仿真结果表明本文算法是可行和有效的。

•  [1] JI Y,ZHOU H L,ZONG Q.Adaptive active fault-tolerant control of generic hypersonic flight vehicles[J].Journal of Systems and Control Engineering,2015,229(2):130-138. [2] ZHANG P,LIU H H T,LI X B,et al.Fault tolerance of cooperative interception using multiple flight vehicles[J].Journal of the Franklin Institute,2013,350(9):2373-2395. [3] 傅强.航空发动机被动容错控制系统鲁棒性设计[J].测控技术,2013,32(5):32-34.FU Q. Robustness design of passive fault tolerant control system for aero engine[J].Measurement & Control Technology, 2013,32(5):32-34(in Chinese). [4] 张爱华,胡庆雷,霍星,等.过驱动航天器飞轮故障重构与姿态容错控制[J].宇航学报,2013,34(3):369-376.ZHANG A H,HU Q L,HUO X,et al.Fault reconstruction and fault tolerant attitude control for over-activated spacecraft under reaction wheel failure[J].Journal of Astronautics,2013, 34(3):369-376(in Chinese). [5] CHEN F Y,WANG Z,TAO G,et al. Robust adaptive fault-tolerant control for hypersonic flight vehicles with multiple faults[J].Journal of Aerospace Engineering,2015,28(4):04014111. [6] HE J J,QI R Y,JIANG B.Adaptive fault-tolerant control design for hypersonic flight vehicles based on feedback linearization[C]//33rd Chinese Control Conference.Piscataway,NJ: IEEE Press,2014:3197-3202. [7] YANG G H,ZHANG S Y,LAM J,et al.Reliable control using redundant controllers[J].IEEE Transactions on Automatic Control,1998,43(11):1588-1593. [8] PANZA S,LOVERA M.Rotor state feedback in helicopter flight control: Robustness and fault tolerance[C]//2014 IEEE Conference on Control Applications.Piscataway,NJ:IEEE Press,2014:451-456. [9] 陈雪芹,耿云海,张迎春,等.基于LMI的鲁棒容错控制及其在卫星姿态控制中的应用[J].控制理论与应用,2008,25(1):95-99.CHEN X Q,GENG Y H,ZHANG Y C,et al.Robust fault-tolerant control based on LMI approach and application in satellite attitude control system[J].Control Theory & Applications,2008,25(1):95-99(in Chinese). [10] 陈明,童朝南.不确定系统鲁棒容错控制的LMI设计方法[J].控制与决策,2009,24(4):526-531.CHEN M,TONG C N.LMI approach to robust fault-tolerant H-infinity control for uncertain systems[J].Control and Decision,2009,24(4): 526-531(in Chinese). [11] 杨冬梅,孙俊娜.不确定时滞线性离散系统的鲁棒容错控制[J].东北大学学报(自然科学版),2012,33(2):161-164.YANG D M,SUN J N.Robust fault tolerant control for uncertain linear discrete systems with time-delay[J].Journal of Northeastern University(Natural Science),2012,33(2):161-164(in Chinese). [12] YE S J,ZHANG Y M,WANG X M,et al.An improved LMI approach for static output feedback fault-tolerant control with application to flight tracking control[C]//4th IEEE Conference on Industrial Electronics and Applications.Piscataway,NJ:IEEE Press,2009:35-40. [13] 欧阳高翔,倪茂林,孙承启.视故障为结构不确定项的鲁棒可靠跟踪控制器设计[J].控制理论与应用,2009,26(1): 80-84.OUYANG G X,NI M L,SUN C Q.Robust reliable tracking controller design when the fault is viewed as a structural uncertainty[J].Control Theory & Applications,2009,26(1):80-84 (in Chinese). [14] ZHANG Q J,YE S J,LI Y,et al.An enhanced LMI approach for mixed H2/H∞ flight tracking control[J].Chinese Journal of Aeronautics,2011,24(3):324-328. [15] 王明昊,刘刚,杨述华.高超声速飞行器的多胞LPV系统控制器设计[J].空间控制技术与应用,2013,39(1):15-22.WANG M H,LIU G,YANG S H.Polytopic-LPV-system-based control design for hypersonic vehicle[J].Aerospace Control and Application,2013,39(1):15-22(in Chinese). [16] XIE L.Output feedback H∞ control of systems with parameter uncertainty[J].International Journal of Control,1996,63(4): 741-750. [17] 俞立,陈国定,杨马英.不确定系统具有圆盘区域极点约束的鲁棒控制[J].自动化学报,2000,26(l):116-120.YU L,CHEN G D,YANG M Y.Robust control of uncertain linear system with disk pole constraints[J].Acta Automatica Sinica,2000,26(l):116-120(in Chinese). [18] HAN X D,LIU J G,XIE D X,et al.Robust H∞ guaranteed cost satisfactory fault-tolerant control for discrete-time systems with quadratic D stabilizability[J].Journal of Systems Engineering and Electronics,2010,21(3):496-502. [19] HE Y,WANG Q G.An improved ILMI method for static output feedback control with application to multivariable PID control[J].IEEE Transactions on Automatic Control,2006,51(10): 1678-1683. [20] CAO Y Y,LAM J,SUN Y X.Static output feedback stabilization: An ILMI approach[J].Automatica,1998,34(12):1641-1645. [21] HOLLIS B R,THOMPSON R A,MURPHY K J,et al.X-33 aerodynamic computations and comparisons with wind-tunnel data[J].Journal of Spacecraft and Rockets,2001,38(5):684-691.

##### 计量
• 文章访问数:  659
• HTML全文浏览量:  2
• PDF下载量:  598
• 被引次数: 0
##### 出版历程
• 收稿日期:  2015-07-09
• 刊出日期:  2016-07-20

/

• 分享
• 用微信扫码二维码

分享至好友和朋友圈

常见问答