考虑系统不确定性的高超声速飞行器容错控制

彭程; 王新民; 谢蓉; 穆凌霞

doi:10.13700/j.bh.1001-5965.2015.0462

考虑系统不确定性的高超声速飞行器容错控制

doi: 10.13700/j.bh.1001-5965.2015.0462

西北工业大学自动化学院, 西安 710072

基金项目: 陕西省自然科学基金（2014JQ8342）

详细信息

作者简介:
彭程男,博士研究生。主要研究方向:容错飞行控制。Tel.: 029-88431356 E-mail: wanli1818@163.com;王新民男,硕士,教授,博士生导师。主要研究方向:飞行控制。Tel.: 029-88431356 E-mail: wxmin@nwpu.edu.cn;谢蓉女,博士,副教授。主要研究方向:飞行控制与控制理论。E-mail: xierong@nwpu.edu.cn;穆凌霞女,博士研究生。主要研究方向:高超声速控制。E-mail: mulx@nwpu.edu.cn

通讯作者:
王新民,Tel.: 029-88431356 E-mail: wxmin@nwpu.edu.cn

中图分类号: TP13
计量
- 文章访问数: 869
- HTML全文浏览量: 61
- PDF下载量: 603
- 被引次数: 0
出版历程
- 收稿日期: 2015-07-09
- 网络出版日期: 2016-07-20

Fault-tolerant control for hypersonic vehicle with system uncertainty

College of Automation, Northwestern Polytechnical University, Xi'an 710072, China

摘要

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。
- 高超声速飞行器 /
- 线性矩阵不等式 /
- 容错控制 /
- 跟踪控制 /
- 鲁棒控制
Abstract: For the systems with norm-bounded parameter uncertainty and actuator failure faults, a robust fault-tolerant tracking control method is presented. In this method, the linear matrix inequalities (LMI) which guarantee the stability of the closed-loop system and meet the demand of the robust performance were derived utilizing the bounded real lemma. In order to reduce the conservativeness of the designed controller, the different Lyapunov variables were adopted under different system fault states. An iterative LMI algorithm is developed to solve the resulting non-convex optimization problem caused by the use of different Lyapunov variables. Since the convergence of the iterative algorithm lies on the choice of the initial values, an efficient way to find a good initial value was given after derivation. The method was applied to the design of the hypersonic vehicle X-33 tracking controller. Simulation results show that the proposed method is available and effective.
- hypersonic vehicle /
- linear matrix inequality (LMI) /
- fault-tolerant control /
- tracking control /
- robust control

HTML全文

参考文献(21)

[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.