| Citation: | MIAO Keqiang, WANG Xi, ZHU Meiyinet al. Optimal design of transient main closed-loop control law based on LMI[J]. Journal of Beijing University of Aeronautics and Astronautics, 2022, 48(5): 841-854. doi: 10.13700/j.bh.1001-5965.2020.0661(in Chinese)
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In order to solve the problem that it is difficult to design transient multivariable control law for turbofan engines, a method of extracting linear model at quasi steady working point of transient acceleration and deceleration line based on power import and extraction is proposed. Based on this, a transient main closed-loop control optimal design method is proposed. It is extended from the steady multivariable control law's linear matrix inequality (LMI) design method to the design of transient main closed-loop control for turbofan engines because the gain-schedule can be used as nonlinear dynamic control method. Minimum matrix trace optimization closed-loop pole is configured to ensure the feasibility of the method. As demanded by two different transient main closed-loop control schedules, two different minimum matrix trace optimization transient multivariable main closed-loop control laws were designed respectively. Dual channels transient performance ground simulations based on a nonlinear turbofan engine model and containing the dynamic state between idle state and maximum power setting state were done. The results show that settling time of transient control dual channels
| [1] |
赵连春, 杰克·马丁利. 飞机发动机控制: 设计、系统分析和健康监视[M]. 张新国, 等译. 北京: 航空工业出版社, 2012: 114-124.
JAW L C, MATTINGLY J D. Aircraft engine controls: Design, system analysis, and health monitoring[M]. ZHANG X G, et al, translated. Beijing: Aviation Industry Press, 2012: 114-124(in Chinese).
|
| [2] |
SPANG H A, BROWN H. Control of jet engines[J]. Control Engineering Practice, 1999, 7(9): 1043-1059. doi: 10.1016/S0967-0661(99)00078-7
|
| [3] |
GARG S. Propulsion controls and diagnostics research in support of NASA aeronautics and exploration mission programs: AIAA 2010-6747[R]. Reston: AIAA, 2010.
|
| [4] |
CSANK J, MAY D R, LITT S J, et al. Control design for a generic commercial aircraft engine: AIAA 2010-6629[R]. Reston: AIAA, 2010.
|
| [5] |
苗浩洁, 王曦, 杨舒柏. 基于相似参数的加速供油规律反设计方法研究[J]. 推进技术, 2019, 40(3): 675-681.
MIAO H J, WANG X, YANG S B. Reverse design method of fuel supply law for acceleration based on similarity parameters[J]. Journal of Propulsion Technology, 2019, 40(3): 675-681(in Chinese).
|
| [6] |
YANG S B, WANG X. A comparative study on N-dot acceleration technique[C]//ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. New York: ASME, 2016: 1-9.
|
| [7] |
西格德·斯科格斯特德, 伊恩·波斯尔思韦特. 多变量反馈控制分析与设计[M]. 韩崇昭, 张爱民, 刘晓风, 等译. 西安: 西安交通大学出版社, 2011: 57-99.
SKOGESTAD S, POSTLETHWAITE I. Multivariable feedback control: Analysis and design[M]. HAN C Z, ZHANG A M, LIU X F, et al, translated. Xi'an: Xi'an Jiaotong University Press, 2011: 57-99(in Chinese).
|
| [8] |
RICHTER H. A multi-regulator sliding mode control strategy for output-constrained systems[J]. Automatica, 2011, 47(10): 2251-2259. doi: 10.1016/j.automatica.2011.08.003
|
| [9] |
理查特. 涡扇发动机先进控制[M]. 覃道亮, 王曦, 译. 北京: 国防工业出版社, 2013: 42-75.
RICHTER H. Advanced control of turbofan engines[M]. QIN D L, WANG X, translated. Beijing: National Defense Industry Press, 2013: 42-75(in Chinese).
|
| [10] |
BOYD S P, CHAOUI E L. Method of centers for minimizing generalized eigenvalues[J]. Linear Algebra and its Applications, 1993, 188-189: 63-111. doi: 10.1016/0024-3795(93)90465-Z
|
| [11] |
GAHINET P. Explicit controller formulas for LMI-based H∞ synthesis[J]. Automatica, 1996, 32(7): 1007-1014. doi: 10.1016/0005-1098(96)00033-7
|
| [12] |
BOYD S P, GHAOUI E L, FERON E, et al. Linear matrix inequalities in systems and control theory[M]. Philadelphia: SIAM, 1994: 7-27.
|
| [13] |
高金凤, 俞立, 王春平. 线性矩阵不等式及其在控制工程中的应用[J]. 控制工程, 2003, 10(2): 145-148. doi: 10.3969/j.issn.1671-7848.2003.02.015
GAO J F, YU L, WANG C P. Linear matrix inequality and its application in control engineering[J]. Control Engineering, 2003, 10(2): 145-148(in Chinese). doi: 10.3969/j.issn.1671-7848.2003.02.015
|
| [14] |
崔颖, 王曦. 涡扇发动机极点配置圆的多变量PI控制设计[J]. 航空发动机, 2019, 45(3): 31-38.
CUI Y, WANG X. Multivariable PI control design for pole placing circle of turbofan engine[J]. Aeroengine, 2019, 45(3): 31-38(in Chinese).
|
| [15] |
胡东, 陈文华, 周川. 基于LMI的一类LPV系统的自调整输出反馈极点配置[J]. 南京航空航天大学学报, 1998, 30(4): 388-393.
HU D, CHEN W H, ZHOU C. Self-tuning output feedback pole placement for a class of LPV systems based on LMI[J]. Journal of Nanjing University of Aeronautics and Astronautics, 1998, 30(4): 388-393(in Chinese).
|
| [16] |
FENG Z, WANG Q G, LEE T H. On the design of multivariable PID controllers via LMI approach[J]. Automatica, 2002, 38(3): 517-526. doi: 10.1016/S0005-1098(01)00237-0
|
| [17] |
SCHERER C, GAHINET P, CHILALI M. Multiobjective output-feedback control via LMI optimization[J]. IEEE Transactions on Atuomatic Control, 1997, 42(7): 896-910. doi: 10.1109/9.599969
|
| [18] |
KANEV S, SCHERER C, VERHAEGEN M, et al. Robust output-feedback controller design via local BMI optimization[J]. Automatica, 2004, 40(7): 1115-1127. doi: 10.1016/j.automatica.2004.01.028
|
| [19] |
WOLODKIN G, BAOAS G J, GARRARD W. Application of parameter-dependent robust control synthesis to turbofan engines[J]. Journal of Guidance, Control, and Dynamics, 1999, 22(6): 833-838. doi: 10.2514/2.4460
|
| [20] |
PARSONS D A. N-dot schedules dynamic compensation system for gas turbines-inputs sum of speed and rate of change of speed of gas generator to schedule to output desired acceleration as function of generator speed: US, 5029441[P]. 1991-07-09.
|
| [21] |
蔡常鹏, 郑前钢, 颜秋英, 等. 军用小涵道比涡扇发动机最大状态控制计划鲁棒性分析[J]. 推进技术, 2022, 43(5): 1-8.
CAI C P, ZHENG Q G, YAN Q Y, et al. Robustness analysis of maximum state control plan for military small bypass ratio turbofan engine[J]. Journal of Porpulsion Technology, 2022, 43(5): 1-8(in Chinese).
|
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