基于μ综合的宽包线冲压发动机多变量鲁棒稳定控制研究
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摘要
为避免控制律设计结果出现较大的保守性,考虑冲压发动机的宽包线、非线性、不确定性和未建模动态特性等问题,研究了基于μ综合方法的发动机多变量控制算法设计。建立了一种发动机模型,给出了标称模型的选择和权函数设置与选取,用D-K迭代获得了μ综合控制器。数值仿真验证结果表明:基于μ综合设计的多变量鲁棒控制器在发动机宽包线范围内均满足控制性能指标要求,验证了控制算法的稳定性和鲁棒性,实现了单个控制器控制多个发动机状态点的功能,避免传统控制模式中复杂的动态调参过程。
In order to avoid the conservativeness of control law design results,considering the wide enve-lope,non-linearity,uncertainty and unmodeled dynamic characteristics of ramjet,the design of engine multi-variable control algorithm based on μ synthesis method is studied. An engine model is established,the selectionof nominal model and the setting and selection of weighting function are given,and the μ synthesis controller isobtained by D-K iteration. The numerical simulation results show that the multi-variable robust controller basedon the μ synthesis design meets the control performance requirements in the wide envelope range of the engine,verifies the stability and robustness of the control algorithm,realizes the function of a single controller to controlmultiple engine state points,and avoids the complex dynamics parameter adjustment process in traditional con-trol mode.
In order to avoid the conservativeness of control law design results,considering the wide enve-lope,non-linearity,uncertainty and unmodeled dynamic characteristics of ramjet,the design of engine multi-variable control algorithm based on μ synthesis method is studied. An engine model is established,the selectionof nominal model and the setting and selection of weighting function are given,and the μ synthesis controller isobtained by D-K iteration. The numerical simulation results show that the multi-variable robust controller basedon the μ synthesis design meets the control performance requirements in the wide envelope range of the engine,verifies the stability and robustness of the control algorithm,realizes the function of a single controller to controlmultiple engine state points,and avoids the complex dynamics parameter adjustment process in traditional con-trol mode.
引文
[1]余之杰.分布式架构下的航空发动机多变量控制系统研究[D].南京:南京航空航天大学,2016.
[2]聂聆聪,朴胜志,吴智锋,等.几何可调液体冲压发动机多变量控制算法研究[J].推进技术,2013,34(12):1690-1695.(NIE Ling-cong,PIAO Sheng-zhi,WU Zhi-feng,et al. Study on Multi-Variable Control System for Variable Geometry Liquid Ramjet Engine[J].Journal of Propulsion Technology,2013,34(12):1690-1695.)
[3]聂聆聪,李岩,戴冬红,等.涡轮冲压组合发动机模态转换多变量控制研究[J].推进技术,2017,38(5):968-974.(NIE Ling-cong,LI Yan,DAI Donghong,et al. Study on Mode Transition Multi-Variable Control for Turbine-Based Combined Cycle Engine[J].Journal of Propulsion Technology,2017,38(5):968-974.)
[4]吴智锋,裘云,谷满仓,等.以推力指令为输入的冲压发动机控制策略初步研究[C].宁波:第三届冲压发动机学术会议,2010.
[5] Yuan Xiao-chuan,Guo Ying-qing. Non-Fully Recovering LQG/LTR Method and Its Application in Aeroengine control[R]. AIAA 2007-5716.
[6]郭迎清,吴丹,张华.全飞行包线LQG/LTR多变量控制器设计[J].航空发动机,2002,(4):44-47.
[7] Merrill W,Lehtinen B,Zeller J. The Role of Modern Control Theory in the Design of Controls for Aircraft Turbine Engines[R]. AIAA 82-320.
[8] Lehtinen B. Multivariable Control Altitude Demonstration on the F100 Turbofan Engine[R]. AIAA 79-1204.
[9]杨刚,孙健国,李秋红.航空发动机控制系统中的增广LQR方法[J].航空动力学报,2004,19(1):153-158.
[10] Yang Gang,Sun jianguo. Reduced Order H∞/LTR Method for Aeroengine Control System[J]. Chinese Journal of Aeronautics,2004,17(3):129-135.
[11]姚华,袁鸯,鲍亮亮,等.航空发动机神经网络自学习PID控制[J],推进技术,2007,28(3):313-316.(YAO Hua,YUAN Yang,BAO Liang-liang,et al.Self-Learning PID Control Based on Neural Network for Aero Engine[J]. Journal of Propulsion Technology,2007,28(3):313-316.)
[12]姚华,鲍亮亮,孙健国.基于神经网络的航空发动机全包线PID控制[J].南京航空航天大学学报,2007,39(2):236-239.
[13]孙晖,刘尚明,邓奇超.航空发动机自适应模糊滑模控制方法的研究[J].燃气轮机技术,2016,29(1):18-24.
[14]王曦,姚华.弹用涡喷发动机鲁棒性能μ综合控制[J].推进技术,2003,24(3):236-239.(WANG Xi,YAO Hua.μSynthesis Control with Robust Performance for Missile Turbojet Engine[J]. Journal of Propulsion Technology,2003,24(3):236-239.)
[15]朱美印,张松,但志宏,等.高空台飞行环境模拟腔μ综合控制设计[J].航空动力学报,2017,32(12):3039-3048.
[16]刘慧,张佳梁,邵长兴,等.基于μ综合的新型空空导弹稳定控制系统控制律设计研究[J].上海航天,2017,34(2).
[17]刘慧.一种新型空-空导弹的控制律研究[D].南京航空航天大学,2010.
[2]聂聆聪,朴胜志,吴智锋,等.几何可调液体冲压发动机多变量控制算法研究[J].推进技术,2013,34(12):1690-1695.(NIE Ling-cong,PIAO Sheng-zhi,WU Zhi-feng,et al. Study on Multi-Variable Control System for Variable Geometry Liquid Ramjet Engine[J].Journal of Propulsion Technology,2013,34(12):1690-1695.)
[3]聂聆聪,李岩,戴冬红,等.涡轮冲压组合发动机模态转换多变量控制研究[J].推进技术,2017,38(5):968-974.(NIE Ling-cong,LI Yan,DAI Donghong,et al. Study on Mode Transition Multi-Variable Control for Turbine-Based Combined Cycle Engine[J].Journal of Propulsion Technology,2017,38(5):968-974.)
[4]吴智锋,裘云,谷满仓,等.以推力指令为输入的冲压发动机控制策略初步研究[C].宁波:第三届冲压发动机学术会议,2010.
[5] Yuan Xiao-chuan,Guo Ying-qing. Non-Fully Recovering LQG/LTR Method and Its Application in Aeroengine control[R]. AIAA 2007-5716.
[6]郭迎清,吴丹,张华.全飞行包线LQG/LTR多变量控制器设计[J].航空发动机,2002,(4):44-47.
[7] Merrill W,Lehtinen B,Zeller J. The Role of Modern Control Theory in the Design of Controls for Aircraft Turbine Engines[R]. AIAA 82-320.
[8] Lehtinen B. Multivariable Control Altitude Demonstration on the F100 Turbofan Engine[R]. AIAA 79-1204.
[9]杨刚,孙健国,李秋红.航空发动机控制系统中的增广LQR方法[J].航空动力学报,2004,19(1):153-158.
[10] Yang Gang,Sun jianguo. Reduced Order H∞/LTR Method for Aeroengine Control System[J]. Chinese Journal of Aeronautics,2004,17(3):129-135.
[11]姚华,袁鸯,鲍亮亮,等.航空发动机神经网络自学习PID控制[J],推进技术,2007,28(3):313-316.(YAO Hua,YUAN Yang,BAO Liang-liang,et al.Self-Learning PID Control Based on Neural Network for Aero Engine[J]. Journal of Propulsion Technology,2007,28(3):313-316.)
[12]姚华,鲍亮亮,孙健国.基于神经网络的航空发动机全包线PID控制[J].南京航空航天大学学报,2007,39(2):236-239.
[13]孙晖,刘尚明,邓奇超.航空发动机自适应模糊滑模控制方法的研究[J].燃气轮机技术,2016,29(1):18-24.
[14]王曦,姚华.弹用涡喷发动机鲁棒性能μ综合控制[J].推进技术,2003,24(3):236-239.(WANG Xi,YAO Hua.μSynthesis Control with Robust Performance for Missile Turbojet Engine[J]. Journal of Propulsion Technology,2003,24(3):236-239.)
[15]朱美印,张松,但志宏,等.高空台飞行环境模拟腔μ综合控制设计[J].航空动力学报,2017,32(12):3039-3048.
[16]刘慧,张佳梁,邵长兴,等.基于μ综合的新型空空导弹稳定控制系统控制律设计研究[J].上海航天,2017,34(2).
[17]刘慧.一种新型空-空导弹的控制律研究[D].南京航空航天大学,2010.