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论文:2019,Vol:37,Issue(6):1248-1256 |
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引用本文： |
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贾秋生, 史新兴, 李岩, 李华聪. 基于区域极点配置的航空发动机LPV鲁棒控制器设计[J]. 西北工业大学学报 |
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JIA Qiusheng, SHI Xinxing, LI Yan, LI Huacong. LPV Robust Controller Design with Regional Pole Assignment for an Aero-Engine[J]. Northwestern polytechnical university |
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| 基于区域极点配置的航空发动机LPV鲁棒控制器设计 |
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| 贾秋生1, 史新兴1, 李岩2,3, 李华聪1 |
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1. 西北工业大学 动力与能源学院, 陕西 西安 710072;
2. 西北工业大学 航天学院, 陕西 西安 710072;
3. 北京动力机械研究所, 北京 100074 |
| 摘要: |
| 针对航空发动机飞行包线内复杂热力循环参数引出的多变量鲁棒增益调度控制下的参考指令动态跟踪问题，提出了一种基于区域极点配置的多变量LPV鲁棒变增益控制方法。利用雅克比线性化方法建立发动机多项式LPV模型，用于描述发动机在一定条件下的动态性能。然后根据上述模型，基于线性矩阵不等式的区域极点配置方法，提出具有H∞鲁棒性能的LPV输出反馈控制器设计方法。通过将闭环系统的极点配置在所期望的位置，以满足控制系统的动态性能。采用网格法将依赖于调度参数的Lyapunov函数转化为常值Lyapunov函数并理论上保证系统稳定性。以某型涡扇发动机为研究对象进行仿真验证，仿真结果表明：与未加入区域极点配置的LPV控制器相比，基于极点配置的设计方法使控制系统具有更好的动态响应特性。同时，该方法实现了对控制指令的精确跟踪，系统阶跃响应的调节时间不超过1.6 s，超调不大于1%，对控制期望的稳态跟踪误差在0.1%以内，符合发动机控制系统技术要求。 |
| 关键词:
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
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| LPV Robust Controller Design with Regional Pole Assignment for an Aero-Engine |
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| JIA Qiusheng1, SHI Xinxing1, LI Yan2,3, LI Huacong1 |
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1. 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 |
| Abstract: |
| 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
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| 收稿日期: 2018-11-02
修回日期:
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| DOI: 10.1051/jnwpu/20193761248 |
| 基金项目: 国家科技重大专项（2017-V-0013-0065）资助 |
| 通讯作者:
Email： |
| 作者简介: 贾秋生(1990-),西北工业大学博士研究生,主要从事航空发动机建模与多变量控制研究。
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参考文献: |
|
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[1] RICHTER H. Advanced Control of Turbofan Engines[M]. New York, Springer, 2011
[2] 樊思齐. 航空发动机控制[M]. 西安:西北工业大学出版社, 2008:24-27 FAN Siqi. Aeroengine Control[M]. Xi'an, Northwestern Polytechnical University Press, 2008:24-27(in Chinese)
[3] CHUMALEE S, JAMES F WHIDBORNE. Gain-Scheduled H∞ Control via Parameter-Dependent Lyapunov Functions[J]. International Journal of Systems Science, 2015, 46(1):125-138
[4] 傅彩芬, 谭文, 刘吉臻. 基于回路成形的鲁棒增益调度控制器设计[J]. 信息与控制, 2005, 34(2):152-156 FU Caifen, TAN Wen, LIU Jizhen. Robust Gain Scheduling Controller Based on Loop shaping[J]. Information & Control, 2005, 34(2):152-156(in Chinese)
[5] HUGHES H, WU F. Optimal Control for Spacecraft Large Angle Manuevers Using H Infinity Linear Varying Parameter Control Techniques[C]//AIAA Guidance, Navigation and Control Conference and Exhibit, 2006
[6] APKARIAN P, GAHINET P, BECKER G. Self-Scheduled H∞ Control of Linear Parameter-Varying Systems:a Design Example[J]. Automatica, 1995, 31(9):1251-1261
[7] DE OLIVEIRA P J, OLIVEIRA R C L F, LEITE V J S, et al. H∞ Guaranteed Cost Computation by Means of Parameter-Dependent Lyapunov Functions[J]. Automatica J IFAC, 2004(6):1053-1061
[8] 邵朋院. 大尺度变参数无人机鲁棒变增益控制方法研究[D]. 西安:西北工业大学, 2016 SHAO Pengyuan. Robust Gain-Scheduling Control of UAV with Parameter Varying in Large Scale[D]. Xi'an, Northwestern Polytechnical University, 2016(in Chinese)
[9] REBERGA Luc. LPV Modeling of a Turbofan Engine[J]. IFAC Proceedings Volumes, 2005, 38(1):526-531
[10] TIAN Z, TAN D, WANG X. A Comparative Study of LPV Modeling for Turbofan Engines[C]//AIAA/SAE/ASEE Joint Propulsion Conference, 2017
[11] BRUZELIUS F, BREITHOLTZ C, PETTERSSON S. LPV-Based Gain Scheduling Technique Applied to a Turbo Fan Engine Model[C]//International Conference on Control Applications, 2002:713-718
[12] 吴斌, 黄金泉. 基于切换多胞LPV的涡扇发动机全包线中间状态控制[J]. 航空动力学报, 2016, 31(8):2040-2048 WU Bin, HUANG Jingquan. Intermediate State Control of Turbofan Engine in Full Envelope Based on Switched Polytopic Approach[J]. Journal of Aerospace Power, 2016, 31(8):2040-2048(in Chinese)
[13] 虞忠伟, 陈辉堂, 王月娟. 基于LMI方法的机器人LPV鲁棒H∞控制器设计[J]. 控制与决策, 2001, 16(2):146-150 YU Zhongwei, CHEN Huitang, WANG Yuejuan. Robot Manipulator LPV Robust H∞ Controller Design Based on LMI Approach[J]. Control & Decision, 2001, 16(2):146-150(in Chinese)
[14] RAO P Shrikant, SEN I. Robust Pole Placement Stabilizer Design Using Linear Matrix Inequalities[J]. IEEE Trans on Power Systems, 2000, 15(1):313-319
[15] LU F, QIAN J, HUANG J, et al. In-Flight Adaptive Modeling Using Polynomial LPV Approach for Turbofan Engine Dynamic Behavior[J]. Aerospace Science & Technology, 2017, 64:223-236
[16] 袁士春, 郭晨, 刘雨. 船舶航向与柴油主机联合LPV鲁棒控制及仿真[J]. 系统仿真学报, 2008, 20(7):1812-1816 YUAN Shichun, GUO Chen, LIU Yu. Integrated Robust Control and Simulation for Ship Steering-Main Diesel Engine Using Linear Parameter-Varying Representation[J]. Journal of System Simulation, 2008, 20(7):1812-1816(in Chinese)
[17] 俞立. 鲁棒控制:线性矩阵不等式处理方法[M]. 北京:清华大学出版社, 2002 YU Li. Robust Control-Linear Matrix Inequality Method[M]. Beijing, Tsinghua University Press, 2002(in Chinese)
[18] APKARIAN P, GAHINET P, BECKER G. Self-Scheduled H∞ Control of Linear Parameter-Varying Systems:a Design Example[J]. Automatica, 1995, 31(9):1251-1261
[19] 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,2007, 28(4):418-421 LI Huacong, WANG Xin, HAN Xiaobao, et al. Study of Aeroengine Linear Parameter Varying Modeling[J]. Journal of Propulsion Technology, 2007, 28(4):418-421(in Chinese) |
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