航空发动机分布式控制系统不确定性鲁棒H∞容错控制

推进技术 ›› 2013, Vol. 34 ›› Issue (6): 836-842.

航空发动机分布式控制系统不确定性鲁棒H∞容错控制

王磊^1,2,谢寿生¹,彭靖波¹,孟祥恒²,任立通¹

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

发布日期:2021-08-15
作者简介:王磊 (1983—),男,博士生,研究领域为航空发动机综合数字控制。E-mail:zhongwei510@hotmail.com

Uncertain Robust H∞ Fault-tolerant Control for Aero-engine Distributed Control System

The Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;The Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;The Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China;Unit 93704of Chinese People’s Liberation Army, Beijing 101100, China;The Aeronautics and Astronautics Engineering Institute, Air Force Engineering University, Xi’an 710038, China

Published:2021-08-15

摘要/Abstract

摘要： 为减小不确定性对航空发动机分布式控制系统性能的影响,针对具有参数摄动、不确定时延、执行机构动态故障、外部噪声干扰四种不确定性的航空发动机分布式控制系统,提出了一种基于鲁棒H∞理论的容错控制方法。首先对系统不确定性进行数学描述,将不确定时延视为服从齐次Markov链分布的随机变量,将执行机构故障等效为存在均值和方差约束的随机变量,并在此基础上建立整个闭环系统的增广模型；其次证明了该增广模型保持均方渐进稳定且具备H∞性能的充分条件；最后利用线性矩阵不等式(LMI)理论给出闭环系统鲁棒H∞容错控制器的设计方法。仿真结果表明该方法能够保证控制系统均方渐进稳定,并对以上四种不确定因素具有鲁棒性,同时对于飞行包线其他各点具有较好的动态响应。 

关键词: 航空发动机;分布式控制系统;不确定性;H∞容错控制;马尔可夫时延 

Abstract: To reduce the effects of uncertainty on aero-engine distributed control system (DCS), a robust H∞ fault-tolerant controller was proposed for uncertain aero-engine DCS with parameter perturbation, uncertain time-delay, external disturbance and dynamic fault of actuators. Assume that the time-delays obeyed a homogenous Markov distribution. The actuator fault was regarded as random parameter with mean and variance constraints. Based on the assumption a closed-loop augmented model was established and a sufficient condition was derived for the augmented system. Under this condition the augmented system will be mean-square asymptotically stable and fulfill H∞ disturbance restraint. Finally, the design approach of robust fault-tolerant controller was proposed by means of linear matrix inequality (LMI). Simulation results show that the controller is robust to the above four uncertainties. The controller also ensures closed-loop system to be mean-square asymptotically stable. Besides, the controller has a favorable dynamic response at other flight conditions. 

Key words: Aero-engine; Distributed control system; Uncertainty; H∞fault-tolerant control; Markov time-delay

王磊,谢寿生,彭靖波,孟祥恒,任立通. 航空发动机分布式控制系统不确定性鲁棒H∞容错控制[J]. 推进技术, 2013, 34(6): 836-842.

WANG Lei^1,2, XIE Shou-sheng¹, PENG Jing-bo¹, MENG Xiang-heng², REN Li-tong¹. Uncertain Robust H∞ Fault-tolerant Control for Aero-engine Distributed Control System[J]. Journal of Propulsion Technology, 2013, 34(6): 836-842.

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