双目标约束下的航空发动机分布式控制系统最优保成本容错控制

王磊; 谢寿生; 彭靖波; 杨勇; 任立通

doi:10.13224/j.cnki.jasp.2014.07.028

双目标约束下的航空发动机分布式控制系统最优保成本容错控制

doi: 10.13224/j.cnki.jasp.2014.07.028

1. 空军工程大学航空航天工程学院, 西安 710038;
2. 中国人民解放军 93704部队, 北京 101100

详细信息

作者简介:
王磊（1983-），男，河南济源人，博士生，主要从事航空发动机综合数字控制研究。

中图分类号: V233.7
计量
- 文章访问数: 1511
- HTML浏览量: 2
- PDF量: 872
- 被引次数: 0
出版历程
- 收稿日期: 2013-04-24
- 刊出日期: 2014-07-28

Optimal guaranteed cost fault-tolerant control with bi-index constraints for aero-engine distributed control system

1. Aeronautics and Astronautics Engineering College, Air Force Engineering University, Xi'an 710038, China;
2. Unit 93704 of the Chinese People's Liberation Army, Beijing 101100, China

摘要

摘要: 针对带参数摄动、Markov时延、数据丢包和外部干扰的航空发动机分布式控制系统，研究了当执行机构发生部分失效故障时的被动容错控制问题，在H_∞性能指标和成本性能指标双重约束下设计了最优保成本容错控制器.首先对系统模型中的各不确定参数进行量化描述，并在此基础上建立整个闭环系统的增广模型；其次证明了双目标约束下闭环系统渐进稳定的充分条件，并给出保成本容错控制器的设计方法；基于双目标相容性理论，得到最优保成本容错控制律的求解方法.仿真结果表明最优保成本容错控制器能够在执行机构发生区间内的任一随机故障时保证闭环系统渐进稳定，并具备一定的H_∞性能.且当发动机低压转子转速发生1%阶跃变化时，最优保成本容错控制器的主燃油流量和尾喷管临界截面积峰值仅为最优鲁棒H_∞容错控制器的16.03%和16.93%.
- 航空发动机 /
- 分布式控制系统 /
- 执行机构故障 /
- 保成本控制 /
- 容错控制 /
- 相容性理论
Abstract: The passive fault-tolerant control was studied for aero-engine distributed control system with parameter perturbation, Markov time-delay, data dropout and external disturbance when interval random actuator faults occurred. An optimal guaranteed cost fault-tolerant controller was designed under double constran of H_∞ and cost performance index. At the beginning, uncertain parameters were described quantitatively. Based on the description a closed-loop augmented model was built. Then sufficient conditions for asymptotic stability with bi-index constraints of the augmented system were derived. The design approach of guaranteed cost fault-tolerant controller was proposed. Finally the optimal guaranteed cost fault-tolerant controller was designed based on consistency theory. Simulation results show that the devised controller ensures the closed-loop system asymptotically stable when interval random actuator faults occur, and have a certain H_∞ performance. Besides, when low-pressure rotor speed has 1% step change, the maximum main fuel mass flow and throat area in this controller are 16.03% and 16.93%, respectively, of that in optimal robust H_∞ fault-tolerant controller.
- aero-engine /
- distributed control system /
- actuator failure /
- guaranteed cost control /
- fault-tolerant control /
- consistency theory

HTML

参考文献(15)

[1]	韩笑冬,葛龙,王执铨.多指标约束下离散时间系统的满意容错控制[J].信息与控制,2008,37(5):544-549. HAN Xiaodong,GE Long,WANG Zhiquan.Satisfactory fault-tolerant control for discrete-time systems with multi-index constraints[J].Information and Control,2008,37(5):544-549.(in Chinese)
[2]	Zhang D F,Wang Z Q,Hu S S.Robust satisfactory fault-tolerant control of uncertain linear discrete-time systems:an LMI approach[J].International Journal of Systems Science,2007,38(2):151-165.
[3]	郭一楠,张芹英,巩敦卫,等.一类时变时延网络控制系统的鲁棒容错控制[J].控制与决策,2008,23(6):689-692. GUO Yinan,ZHANG Qinying,GONG Dunwei et al.Robust fault-tolerant control of networked control systems with time-varying delays[J].Control and Decision,2008,23(6):689-692.(in Chinese)
[4]	邓玮桦,费敏锐.带有执行器故障的网络控制系统的自适应容错H_∞控制[J].控制理论与应用,2010,27(2):269-272. DENG Weihua,FEI Minrui.Adaptive fault-tolerant H-infinity control for networked control systems with actuactor faults[J].Control Theory and Applications,2010,27(2):269-272.(in Chinese)
[5]	罗小元,尚美杰,陈彩莲,等.基于网络控制的航空器动力系统的容错控制[J].控制工程,2011,28(2):171-174. LUO Xiaoyuan,SHANG Meijie,CHEN Cailian,et al.Fault-tolerant control of spacecraft dynamic system based on control network[J].Control Engineering of China,2011,28(2):171-174.(in Chinese)
[6]	彭高丰,马振中,夏明霞,等.传感器部分失效的网络控制系统H_∞容错控制[J].电光与控制,2012,19(11):58-61. PENG Gaofeng,MA Zhenzhong,XIA Mingxia et al.Robust H_∞ fault-tolerant control networked control system against sensor partial failure[J].Electronics Optics and Control,2012,19(11):58-61.(in Chinese)
[7]	马跃超,黄丽芳,张庆灵.时变不确定时滞连续系统的鲁棒H_∞保成本控制[J].物理学报,2007,56(7):3744-3752. MA Yuechao,HUANG Lifang,ZHANG Qingling.Robust guaranteed cost H_∞control for uncertain time-varying delay system[J].Acta Physica Sinica,2007,56(7):3744-3752.(in Chinese)
[8]	李炜,曹慧超.区间快变时延NCS鲁棒H_∞保性能容错控制[J].华中科技大学学报,2011,39(3):105-110. LI Wei,CAO Huichao.Robust H_∞ guaranteed fault-tolerant control for networked control system with fast interval time-varying delay[J].Journal Huazhong University of Science and Technology,2011,39(3):105-110.(in Chinese)
[9]	李洁坤,穆春来,虞继敏.一类参数不确定广义时滞系统的H_∞保性能鲁棒控制[J].西南大学学报,2009,31(7):38-43. LI Jiekun,MU Chunlai,YU Jimin.Robust guaranteed cost control for singular systems with time-delay and parameter uncertainty[J].Journal of Southwest University,2009,31(7):38-43.(in Chinese)
[10]	沃松林,史国栋,邹云.不确定广义大系统分散鲁棒H_∞保性能控制[J].控制理论与应用,2009,26(9):1035-1040. WO Songlin,SHI Guodong,ZOU Yun.Decentralized robust H-infinity and cost-guaranteed control for uncertain singular large-scale systems[J].Control Theory and Applications,2009,26(9):1035-1040.(in Chinese)
[11]	朱其新,胡寿松.网络控制系统的分析与建模[J].信息与控制,2003,32(1):5-8. ZHU Qixin,HU Shousong.Analysis and modeling of network control systems[J].Information and Control,2003,32(1):5-8.(in Chinese)
[12]	彭琛,代冀阳,刘星,等.网络控制系统随机鲁棒控制律设计方法[J].系统仿真学报,2010,22(8):1955-1959,2000. PENG Chen,DAI Jiyang,LIU Xing,et al.Stochastic robust control law design for networked control systems[J].Journal of System Simulation,2010,22(8):1955-1959,2000.(in Chinese)
[13]	Miyachi M,Ishitobi M,Takahashi N.An LMI approach to observer-based guaranteed cost control[J].Artificial Lift and Robotics,2008,12(1):276-279.
[14]	Xie L.Output feedback H_∞ control of systems with parameter uncertain[J].International Journal of Control,1996,63(4):741-750.
[15]	姜翀,张庆灵.随机时延网络控制系统的Markov建模及H_∞控制[J].系统工程与电子技术,2008,30(11):2241-2244. JIANG Chong,ZHANG Qingling.H_∞ control for Markov model of NCSs with stochastic delay[J].Systems Engineering and Electronics,2008,30(11):2241-2244.(in Chinese)