A Model Reference Adaptive Sliding Mode Control Method for Aero-Engine

Hongliang Xiao; Huacong Li; Kai Peng; Jia Li

doi:10.1515/tjj-2019-0041

Artikel

A Model Reference Adaptive Sliding Mode Control Method for Aero-Engine

Hongliang Xiao , Huacong Li , Kai Peng und Jia Li

Veröffentlicht/Copyright: 25. Dezember 2019

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Aus der Zeitschrift International Journal of Turbo & Jet-Engines Band 39 Heft 4

Abstract

In this paper, a model reference adaptive sliding mode control method is proposed for a variable cycle engine (VCE) which is a MIMO system with uncertainties and external disturbances. The reference model is designed based on optimal LQR method to provide ideal reference states. An adaptive sliding mode controller (ASMC) is designed for model reference adaptive control structure, which the adaptive law is derived based on Lyapunov function to estimate the unknown upper bound of uncertainties and external disturbances. Simulation results for VCE demonstrate the performance and fidelity of the proposed method.

Keywords: multi-variable control; model reference; adaptive sliding mode control; uncertainty

PACS: 07.05.Dz; 45.80.+ r; 87.19.lr

Acknowledgements

The authors thank the support of National Science and Technology Major Project under Grant 2017-V-0010-0060 and 2017-V-0013-0065, National Natural Science Foundation of China under Grant 51506176 and Aeronautics Power Foundation under Grant 6141B090302.

Nomenclature

x: plant state vector
u: control input vector
y: plant output vector
H: altitude
M a: mach number
n l: RPM of low pressure spool
n h: torque of fan
T 4: total temperature of combustor
w f: mass of fuel flow
A 8: area of nozzle throat
A 163: area of rear variable area bypass injector
e p r s: static engine pressure ratio
l e p r: linear engine pressure ratio
e y I: error between the system output and control command
r c m d: control command
K x T: the reference model gain matrix
A , B , C , D: the system matrices with appropriate dimensions
A a u g , B a u g _, C a u g , D a u g: the augmented matrices of system
A r e f , B r e f _, C r e f: the matrices of reference model
Δ A: perturbation matrix of A
Δ B: perturbation matrix of B
η ( t ): unknown bounded disturbance vector
s: sliding function
G: gain matrix
e: tracking error of state
Φ: upper bound of perturbation matrix A
Θ: upper bound of perturbation matrix B
Ψ: upper bound of disturbance η ( t )
ξ ( t ): switch coefficient
V: Lyapunov function
Φ ˆ: estimated value Φ
Θ ˆ: estimated value Θ
Ψ ˆ: estimated value Ψ
ASMC: adaptive sliding mode controller
SMC: sliding mode controller
VCE: variable cycle engine
MRAC: Model reference adaptive control
FVABI: front variable area bypass injector
RVABI: rear variable area bypass injector
MSV: mode select valve

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Received: 2019-11-16

Accepted: 2019-12-04

Published Online: 2019-12-25

Published in Print: 2022-12-16

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Artikel in diesem Heft

https://doi.org/10.1515/tjj-2019-0041

Schlagwörter für diesen Artikel

multi-variable control; model reference; adaptive sliding mode control; uncertainty