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同伦方法中辅助映射的影响 总被引:1,自引:0,他引:1
简述了同伦方法中解曲线跟踪算法,它是求解非线性问题的一种非常有效的方法,并说明辅助映射的构造形式将影响非线性问题的求解。根据同伦方法的基本思想和求解过程,提出了采用“相似”准则设计辅助映射的方法,即辅助映射要与原映射同类型,使待求函数较为容易地同化变形到辅助映射,同时求到问题的解。该方法已应用于一些实际课题中。效果很好。 相似文献
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本文提出一种由三个观测方向确定卫星初轨的方法,在该法中卫星轨道直接由六个经典轨道根数表示。轨道根数的求解涉及对冗余非线性方程组的求解,结合同伦方法基本思想和冗余非线性方程组的最小二乘广义逆,本文给出了该卫星定轨的同伦求解法。初步仿真计算表明,同伦求解法较其它传统的非线性方程组求解法在全局收敛方面具有优越性,同时也就表明该定轨法是切实可行的。值得指出,本文方法很容易扩展到N(N〉3)个观测方向确定卫 相似文献
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本文提出一种由三个观测方向确定卫星初轨的方法,在该法中卫星轨道直接由六个经典轨道根数表示。轨道根数的求解涉及对冗余非线性方程组的求解,结合同伦方法基本思想和冗余非线性方程组的最小二乘广义逆,本文给出了该卫星定轨的同伦求解法。初步仿真计算表明,同伦求解法较其它传统的非线性方程组求解法在全局收敛方面具有优越性,同时也就表明该定轨法是切实可行的。值得指出,本文方法很容易扩展到N(N>3)个观测方向确定卫星初轨,此时定轨精度将进一步提高。 相似文献
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非线性解耦控制与飞机敏捷性机动 总被引:1,自引:0,他引:1
首先介绍了以微分几何控制理论为基础的非线性系统解耦理论,给出了解耦控制律的综合方法及解耦闭环系统平衡点的计算方法,并对解耦系统的稳定性进行分析,随后用非线性解耦理论研究了飞机非线性运动的三种解耦运动模式,并讨论了飞机非线性解耦控制规律的线性近似解,最后用飞机非线性运动的三种解耦运动模式实现了三种形式的敏捷性机动,结果是满意的。为飞机敏捷性,直接力控制和过失速机动问题提供了一种理论研究方法。 相似文献
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智能优化算法在飞机总体设计中的应用 总被引:2,自引:1,他引:1
飞机总体设计在飞机的整个设计过程中是非常关键的步骤,在这个过程中,飞机的总体布局和许多重要参数都被确定下来。但是,飞机的总体设计又是一个复杂和艰难的过程,因为涉及到大型系统的有约束的非线性优化问题,用传统优化方法很难得到满意的结果。本文采用了近年来发展很快的几种智能优化算法--遗传算法、模拟退火算法、禁忌搜索算法、Hopfield神经网络算法解决飞机总体设计优化问题,阐述了各算法的关键步骤及运行过程,并编写了相应的计算程序。通过对各种算法的结果进行比较和讨论,最后的结论是:模拟退火算法最适合求解这类复杂的约束非线性优化问题,禁忌搜索算法和遗传算法次之,Hopfield神经网络算法效果最差,容易陷入局部最优解。 相似文献
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研究了飞机飞行试验数据处理中的非线性鲁棒滤波技术,分析给出了实际飞行条件了一种飞机运动的新模型,它是含不确定参数项的非线性模型,同时给出了该不确定参数项的解析的表达形式,然后研究了对应于此类非线不确定系统的鲁棒滤波算法,得到了该滤波问题的充分解,并对该解进行扩展线性化处理,得么了一个较易实现的扩展鲁棒滤波算法,最后利用该算法对实际的数据进行了处理,结果表明,所提出的算法是切实可行的。 相似文献
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针对非线性飞机方程的控制有效率进行了故障检测与诊断,通过将吹风表格数据处理成一种参数化非线性函数,找出了飞机状态量与控制律分离的控制有效率表达式和检测方法,算法中将检测结果与对应故障模式进行了分类处理,提高了算法的鲁棒性,最后用飞机的实例进行了仿真验证,结果表明,该算法具有较高的检测精度和较快的检测速度。 相似文献
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Aeroservoelastic stability analysis for flexible aircraft based on a nonlinear coupled dynamic model 总被引:1,自引:1,他引:0
A unified theoretical aeroservoelastic stability analysis framework for flexible aircraft is established in this paper. This linearized state space model for stability analysis is based on nonlinear coupled dynamic equations, in which rigid and elastic motions of aircraft are both considered. The common body coordinate system is utilized as the reference frame in the deduction of dynamic equations, and significant deformations of flexible aircraft are also fully concerned without any excessive assumptions. Therefore, the obtained nonlinear coupled dynamic models can well reflect the special dynamic coupling mechanics of flexible aircraft. For aeroservoelastic stability analysis, the coupled dynamic equations are linearized around the nonlinear equilibrium state and together with a control system model to establish a state space model in the time domain. The methodology in this paper can be easily integrated into the industrial design process and complex structures. Numerical results for a complex flexible aircraft indicate the necessity to consider the nonlinear coupled dynamics and large deformation when dealing with aeroservoelastic stability for flexible aircraft. 相似文献
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本文根据飞机偏离运动的特性,利用飞机非线性运动方程组的导算子矩阵研究副翼操纵时飞机闭环稳定性,获得了飞机偏离预测的新判据。通过对6架飞机偏离特性的计算,表明该判据简单有效切实可行,并且与Bihrle判据以及Weissman判据取得了较好的一致。 相似文献
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Icing is one of the crucial factors that could pose great threat to flight safety,and thus research on stability and stability region of aircraft safety under icing conditions is significant for control and flight.Nonlinear dynamical equations and models of aerodynamic coefficients of an air craft are set up in this paper to study the stability and stability region of the aircraft under an icing condition.Firstly,the equilibrium points of the iced aircraft system are calculated and analyzed based on the theory of differential equation stability.Secondly,according to the correlation theory about equilibrium points and the stability region,this paper estimates the multidimensional stability region of the aircraft,based on which the stability regions before and after icing are compared.Finally,the results are confirmed by the time history analysis.The results can give a reference for stability analysis and envelope protection of the nonlinear system of an iced aircraft. 相似文献
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提出了一种确定飞机类型的新方法。通过 机外型和结构特征,利用空间投影理论建立了飞机投影图形与飞机姿态角之间的关系。通过该关系方程,有效地识别了飞机姿态角。利用已有的飞机型的投影图特征与实际飞机飞行图像特征之间的误差,根据最小方差进行了模型匹配。利用CCD系统图像仿真结果表明,所提出的方法是有效的。 相似文献
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Approximate Nonlinear Modeling of Aircraft Engine Surge Margin Based on Equilibrium Manifold Expansion 总被引:2,自引:1,他引:1
Stable operation of aircraft engine compressions is constrained by rotating surge. In this paper, an approximate nonlinear surge margin model of aircraft engine compression system by using equilibrium manifold is presented. Firstly, this paper gives an overview of the current state of modeling aerodynamic flow instabilities in engine compressors. Secondly, the expansion form of equilibrium manifold is introduced, and the choosing scheduling variable method is discussed. Then, this paper also gives the identification procedure of modeling the approximate nonlinear model. Finally, the modeling and simulations with high pressure (HP) compressor surge margin of the aircraft engine show that this real-time model has the same accuracy with the thermodynamic model, but has simpler structure and shorter computation time. 相似文献
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高机动性飞机大迎角全局稳定性研究 总被引:1,自引:0,他引:1
为了研究高机动性飞机大迎角时的全局稳定性,建立了飞机的非线性动力学方程和气动力模型。应用微分方程定性理论,通过对算例的分析,讨论了目前飞机设计中常用的稳定性判据(如(C_(nβ))_(dyn)和LCDP等)与平衡点处线化矩阵特征值之间的关系。结果表明这些判据可以从飞机在特定状态下的线化矩阵经简化得到。因此,它们只能预测大迎角的局部稳定性。若考虑全局稳定性则必须用本文所给的方法进行。最后,指出了平衡点和周期吸引子与机翼摇晃、偏离和尾旋之间的关系,并用时间过程作了验证。 相似文献
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《中国航空学报》2022,35(12):144-155
To overcome the drawbacks such as large wing deformations, poor performance encountering gusts, limits in taking off and landing, inconvenience of transportation of High-Altitude Long-Endurance (HALE) Unmanned Aerial Vehicles (UAVs), a new conceptual aircraft called wingtip-docked Multi-Body Aircraft (MBA) has attracted lots of attentions. Aiming to investigate the feasibility of this concept, two UAV models were designed, manufactured and connected by a wingtip-docking mechanism, which only allows the relative roll motion between the two aircraft. The trim solution of the two connected aircraft is firstly obtained by solving the developed nonlinear flight dynamic equations, followed by the stability analysis based on the linearized model. The results show that the connected aircraft is inherently unstable and cannot fly without a reasonable flight control system. A set of Proportional-Integral-Derivative (PID) control laws was then developed and implemented in the two experimental aircraft. The success of the flight tests show that the flight control can effectively eliminate the unstable motion and the wingtip-docked MBA is controllable and feasible. 相似文献
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本文建立了DO 28试验机的非线性六自由度多点数学模型。该模型考虑了飞机运动的高度非线性,螺旋桨、机翼、尾翼空气动力特性,改进的推力计算,风场干扰以及飞行试验数据一致性检验和校正。与一点模型相比,该模型能更准确地描述飞机的运动,更适合飞机的参数估计。 相似文献