考虑执行机构饱和的结冰飞机非线性稳定域研究
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摘要
为求取结冰后考虑执行机构饱和的飞机非线性稳定域,在参考结冰气动力变化模型基础上,建立了考虑执行机构饱和的结冰飞机闭环系统非线性模型。首先求取系统的平衡点;其次应用流形法刻画系统的非线性稳定域;最后对飞机结冰前后与饱和值变化前后等情况下的稳定域进行了对比分析。结果表明,使用流形法得到的稳定域能够较准确地反映飞机不同条件下的稳定性。
In order to obtain the nonlinear stability region,the safety boundary of icing aircraft considering actuator saturation,a nonlinear model of closed loop system considering actuator saturation under icing condition was established on the basis of the aerodynamic force change of model with icing. Firstly,the system equilibrium point was solved and analyzed. Then,the nonlinear stability region was obtained by the manifold method. Finally,the stability region of aircraft before and after icing and saturation value change was compared and analyzed. The conclusion indicates that stability region obtained by the manifold method can reflect stability of the aircraft under different conditions.
In order to obtain the nonlinear stability region,the safety boundary of icing aircraft considering actuator saturation,a nonlinear model of closed loop system considering actuator saturation under icing condition was established on the basis of the aerodynamic force change of model with icing. Firstly,the system equilibrium point was solved and analyzed. Then,the nonlinear stability region was obtained by the manifold method. Finally,the stability region of aircraft before and after icing and saturation value change was compared and analyzed. The conclusion indicates that stability region obtained by the manifold method can reflect stability of the aircraft under different conditions.
引文
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[2]Sharma V,Voulgaris P G,Frazzoli E.Aircraft autopilot analysis and envelope protection for operation under icing conditions[J].Journal of Guidance,Control,and Dynamics,2004,27(3):454-464.
[3]曹启蒙,李颖晖,徐浩军.考虑作动器速率饱和的人机闭环系统稳定域[J].北京航空航天大学学报,2013,39(2):215-219.
[4]黎康,方振平.某型飞机非线性动力学特性的分叉分析[J].飞行力学,2002,20(2):10-15.
[5]Miller R,Ribbens W.The effects of icing on the longitudinal dynamics of an icing research aircraft[R].AIAA-99-0636,1999.
[6]Bragg M B,Hutchison T,Merret J,et al.Effect of ice accretion on aircraft flight dynamics[C]∥38th Aerospace Sciences Meeting and Exhibit.Reno,NV,USA,2000:1-16.
[7]张强,刘艳,高正红.结冰条件下的飞机飞行动力学仿真[J].飞行力学,2011,29(3):4-7.
[8]袁坤刚,曹义华.结冰对飞机飞行动力学特性影响的仿真研究[J].系统仿真学报,2007,19(9):1929-1932.
[9]Chiang H D,Hirsch M W,Wu F F.Stability region of nonlinear autonomous dynamical systems[J].IEEE Transactions on Automatic Control,1988,33(1):14-27
[10]Chiang H D,Wu F F,Varoiya P P.Foundation of direct method for power system transient stability analysis[J].IEEE Transactions on Circuits and Systems,1987,34(2):160-173.
[11]屈亮,李颖晖,袁国强,等.基于相平面法的结冰飞机纵向非线性稳定域分析[J].航空学报,2016,37(3):865-872.