基于平衡流形的航空发动机LPV建模方法

推进技术 ›› 2011, Vol. 32 ›› Issue (1): 21-25.

基于平衡流形的航空发动机LPV建模方法

李述清,张胜修,胡卫红

第二炮兵工程学院, 陕西西安 710025;第二炮兵工程学院, 陕西西安 710025;第二炮兵驻第31研究所军事代表室,北京 100074

发布日期:2021-08-15
作者简介:李述清(1981—),男,硕士,研究领域为航空发动机建模与控制。E-mail:lsq-hunan@163.com

Equilibrium-manifold based linear parameter varyingmodeling for aeroengine

The Second Artillery Engineering Coll., Xian 710025, China ;The Second Artillery Engineering Coll., Xian 710025, China ;The Second Artillery Representative Office in the 31st Research Inst., Beijing 100074, China

Published:2021-08-15

摘要/Abstract

摘要： 针对航空发动机线性变参数模型,基于平衡流形原理,研究了一种改进LPV建模方法。首先,根据平衡流形原理,构造涡扇发动机平衡流形参数化形式。其次,根据某型涡扇发动机非线性模型,建立基于局部线性模型的涡扇发动机准LPV模型。然后,建立基于平衡流形的航空发动机改进准LPV模型,即:利用平衡流形参数化形式,根据调度变量实时估算发动机平衡态,以更新发动机准LPV模型的参考平衡态。最后,通过对发动机从慢车状态到最大状态的阶梯加速过程进行仿真,表明改进LVP模型的稳态和动态响应特性与发动机非线性模型保持很好地一致。

关键词: 航空发动机; 平衡流形; 线性变参数模型; 调度变量

Abstract: An equilibrium-manifold based LPV (Linear Parameter Varying) modeling method was put forward. Firstly, according to the equilibrium manifold theory, the equilibrium manifold of a turbofan engine was parameterized by a scheduling variable. Then, a conventional LPV model of a turbofan engine was constructed based on the turbofan engine nonlinear model. Next, the conventional LPV model was modified by using the parameterized equilibrium manifold, in which the equilibrium point was estimated in real-time and was used to update the reference equilibrium point in the conventional LPV model. Lastly, a speedup process from idle speed to max speed was simulated with the turbofan engine nonlinear model, the conventional LPV model, and the modified LPV model, separately. The simulation results show that the modified LPV model achieves much higher steady precision and fidelity than the conventional LPV model, which could afford a reliable model to design and analysis the turbofan engine control system.

Key words: Aeroengine; Equilibrium manifold; Linear-parameter-varying (LPV) model; Scheduling variable

李述清,张胜修,胡卫红. 基于平衡流形的航空发动机LPV建模方法[J]. 推进技术, 2011, 32(1): 21-25.

参考文献

[2] 杨蔚华,孙健国.发动机实时建模技术的新发展[J].航空动力学报,5,0(4):402-406.
[3] 陈敏,唐海龙,张津.某型双轴加力涡扇发动机实时性能仿真模型[J].航空动力学报, 5,0(1):13-17.
[4] Balas G J, Ryan J, Shin J Y, et al.A new technique for design of controllers for turbofan engines[R].AIAA 98-3751.
[5] Reberga L, Henrion D, Bernussou J, et al.LPV modeling of a turbofan engine [C].Prague:16th FAC World Congress, 2005.
[6] 李华聪,王鑫,韩小宝,等.航空发动机线性变参数建模方法研究[J].推进技术, 7,8(4):418-421.(LI Hua-cong, WANG Xin, HAN Xiao-bao, et al.Study of aeroengine linear parameter varying modeling [J].Journal of Propulsion Technology, 7,8 (4):418-421.)
[7] Bokor J, Szabo Z,Stikkel G.Invariant subspaces for LPV systems and their applications[C].Lisbon:Proceedings of the 10th Mediterranean Conference on Control and Automation MED 2002, 2002.
[8] Fen Wu, Stephen Prajna.New solution approach to polynomial LPV system analysis and synthesis [C].USA:Proc.2004 American Control Conference,2004:1362-1367.
[9] Shahruz S, Behtash S.Design of controllers for linear parameters varying systems by the gain scheduling technique [J].Journal of Mathematical Analysis and Applications, 2,8(1):195-217.
[10] JamesA Turso, Jonathan S Litt.Intelligent robust control of deteriorated turbofan engines via linear parameter varying quadratic Lyapunov function design [R].NASA/TM-2004-213375.
[11] Giarre L, BausoD, FalugiP, et al.LPV model identification for gain scheduling control an application to rotating stall and surge control problem [J].Control Engineering Practice, 6,4(4).
[12] Gary J Balas, Jack Ryan, Jong-Yeob Shin, et al.A new technique for design of controllers for turbofan engines [R].AIAA 98-3751.
[13] Stilwell Daniel J, Rugh Wilson J.Interpolation of observer state feedback controllers for gain scheduling[J].IEEE Transactions on Automatic Control, 9,4(6):1225-1229.
[14] Rugh W J, Shamma J S.Research on gain scheduling [J].Automatic, 0,6:1401-1425.
[15] 于达仁,隋岩峰.非线性系统平衡流形展开模型[J].系统仿真学报, 6,8(9):2415-2418.
[16] 胡卫红,李述清,孙健国.基于非线性系统平衡流形的某型涡扇发动机建模研究[J].航空动力学报, 0,5(1).
[17] 张志涌.精通Matlab6.5[M].北京:北京航空航天大学出版社, 2002.