Volume 37, Number 6, December 2019
|Page(s)||1248 - 1256|
|Published online||11 February 2020|
LPV Robust Controller Design with Regional Pole Assignment for an Aero-Engine
School of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, China
2 School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China
3 Beijing Power Machinery Institute, Beijing 100074, China
The aerodynamic characteristics of aero-engine, which have a wide range of flight envelopes, vary drastically, so its controller is required to be able to adapt to a large range of parameter variations and have good robustness. To solve the above problem, based on the regional pole assignment, a new aero-engine multi-variable robust gain scheduled LPV control algorithm was proposed. Firstly, the Jacobian linearization method was used to obtain polynomial LPV model of aero-engine, which can describe its dynamic performance under certain conditions. Further, aiming at the polynomial LPV model, a LPV output feedback controller with the closed-loop system pole placement in a given region, which satisfied robust H∞ performance requirement, is designed using the LMI method. Then the grid method is used to transform the Lyapunov functional which depend on the scheduling parameters into a single Lyapunov function, which can guarantee the system has good steady performance. Finally, simulation studies have carried out based on a certain turbofan engine. The simulation results show that the designed controller can realize the accurate tracking of control commands with response time less than 1.6 s, over shoot less than 1% and steady-state tracking error less than 0.1%. The control system can guarantee the global stability and has good robustness in the design envelope.
Key words: aero-engine / LPV / LMI / pole assignment / H∞ control / robust controller design
关键字 : 航空发动机 / 线性变参数 / 线性矩阵不等式 / 极点配置 / H∞控制 / 鲁棒控制器设计
© 2019 Journal of Northwestern Polytechnical University. All rights reserved.
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