非线性系统的高阶线性化方法及其在二阶摄动制导中的应用

本文讨论了非线性系统相对于标称轨道的高阶线性化方法。文中在一阶线性展开的基础上,提出了高阶误差项的补偿方法,导出了计算二阶补偿项系数的线性方程组,并给出了补偿项的计算公式。然后,采用所得方法研究了飞行器的二阶摄动制导方法。     

初值不确定轨道可达区域计算

为计算航天器轨道初值不确定造成的可达区域（RD）,提出一种适用于椭圆参考轨道的计算方法。以航天器的名义轨道作为基线,定义一个随时间变化的移动参考平面,在此移动平面上建立名义轨道到可达区域上任一点的距离函数,函数的极大值点即为可达区包络的边界点,从而将问题转换为非线性方程组的求解问题,并对动力学模型部分线性化带来的误差进行了分析。随后采用变参数的自适应同伦算法对方程组进行求解。最后对航天器释放微小卫星的实例进行数值仿真,结果显示该方法可行有效。     

OFDM系统中峰平比问题的方法研究

OFDM技术最主要的缺点是具有较大的峰值平均功率比(PAPR)。文章就目前降低PAPR对OFDM系统影响的主要方法进行了简单综述。一种方法是从OFDM信号着手,包括剪波法(限幅法)、编码技术、相位旋转方法;另一种方法是对高频功率放大器的实现线性化技术,主要是放大器预失真方法。     

A model-based prognostics method for fatigue crack growth in fuselage panels

This paper proposes a model-based prognostics method that couples the Extended Kalman Filter (EKF) and a new developed linearization method. The proposed prognostics method is developed in the context of fatigue crack propagation in fuselage panels where the model parameters are unknown and the crack propagation is affected by different types of uncertainties. The coupled method is composed of two steps. The first step employs EKF to estimate the unknown model parameters and the current damage state. In the second step, the proposed efficient linearization method is applied to compute analytically the statistical distribution of the damage evolution path in some future time. A numerical case study is implemented to evaluate the performance of the proposed method. The results show that the coupled EKF-linearization method provides satisfactory results: the EKF algorithm well identifies the model parameters, and the linearization method gives comparable prediction results to Monte Carlo (MC) method while leading to very significant computational cost saving. The proposed prognostics method for fatigue crack growth can be used for developing predictive maintenance strategy for an aircraft fleet, in which case, the computational cost saving is significantly meaningful.     

绳系卫星的一种新型高阶滑模控制器设计

针对绳系卫星轨道转移控制问题,给出绳系卫星在轨机动模型并将面内运动处理为典型的欠驱动形式;为实现对面内摆角的跟踪控制,定义滑模面并建立积分链系统,设计一种新型高阶滑模系绳张力控制律,得到无抖振控制量,这种控制律在保证高精度跟踪的前提下,有效避免了控制抖振现象;关于滑模面的高阶滑模运动建立后,在平衡点对闭环系统线性化,根据劳斯判据,闭环系统在平衡点是局部渐近稳定的。最后,通过仿真分析,验证了所提出控制算法的有效性。     

变质心旋转弹头变结构控制研究

针对弹头变质心这种新的控制方式,建立了变质心旋转弹头准弹体下的动力学模型,由于模型是复杂非线性的,通过按线性化族近似化理论对模型进行了合理简化,并用变结构控制理论对系统的姿态控制进行了设计,仿真结果表明,所设计的变质心弹头变结构姿态控制具有很好的快速性、稳定性,而且相对减小了抖震现象,证明这种方法是有效的。     

Flight dynamics characteristics of canard rotor/wing aircraft in helicopter flight mode

The aerodynamic layout of the Canard Rotor/Wing(CRW) aircraft in helicopter flight mode differs significantly from that of conventional helicopters. In order to study the flight dynamics characteristics of CRW aircraft in helicopter mode, first, the aerodynamic model of the main rotor system is established based on the blade element theory and wind tunnel test results. The aerodynamic forces and moments of the canard wing, horizontal tail, vertical tail and fuselage are obtained via theoretical analysis and empirical formula. The flight dynamics model of the CRW aircraft in helicopter mode is developed and validated by flight test data. Next, a method of model trimming using an optimization algorithm is proposed. The flight dynamics characteristics of the CRW are investigated by the method of linearized small perturbations via Simulink. The trim results are consistent with the conventional helicopter characteristics, and the results show that with increasing forward flight speed, the canard wing and horizontal tail can provide considerable lift,which reflects the unique characteristics of the CRW aircraft. Finally, mode analysis is implemented for the linearized CRW in helicopter mode. The results demonstrate that the stability of majority modes increases with increasing flight speed. However, one mode that diverges monotonously,and the reason is that the CRW helicopter mode has a large vertical tail compared to the conventional helicopter. The results of the dynamic analysis provide optimization guidance and reference for the overall design of the CRW aircraft in helicopter mode, and the model developed can be used for control system design.     

Identification of the state-space model and payload mass parameter of a flexible space manipulator using a recursive subspace tracking method

The on-orbit parameter identification of a space structure can be used for the modification of a system dynamics model and controller coefficients. This study focuses on the estimation of a system state-space model for a two-link space manipulator in the procedure of capturing an unknown object, and a recursive tracking approach based on the recursive predictor-based subspace identification (RPBSID) algorithm is proposed to identify the manipulator payload mass parameter. Structural rigid motion and elastic vibration are separated, and the dynamics model of the space manipulator is linearized at an arbitrary working point (i.e., a certain manipulator configuration). The state-space model is determined by using the RPBSID algorithm and matrix transformation. In addition, utilizing the identified system state-space model, the manipulator payload mass parameter is estimated by extracting the corresponding block matrix. In numerical simulations, the presented parameter identification method is implemented and compared with the classical algebraic algorithm and the recursive least squares method for different payload masses and manipulator configurations. Numerical results illustrate that the system state-space model and payload mass parameter of the two-link flexible space manipulator are effectively identified by the recursive subspace tracking method.     

飞机飞行载荷的简化计算方法研究

飞行载荷分析是一项复杂而繁重的工作,研究一种适用于方案设计阶段飞行载荷的快速分析方法,对于提高飞行载荷的计算效率具有重要意义。基于小扰动线性分析理论,归纳翼身气动载荷、平尾气动载荷、垂尾气动载荷、舵面铰链力矩的理论计算方法,以及升力面的气动载荷分布、惯性载荷分布、剪力和弯矩的工程计算方法。针对某型单座竞技飞机的飞行载荷,以外形尺寸、质量特性和气动导数作为输入,通过Matlab 仿真分析,得到各个部件的气动载荷、惯性载荷、舵面铰链力矩、剪力和弯矩等参数响应。结果表明：该简化方法能够根据较少的输入数据快速求解出各个动力学参数,计算结果可以作为方案设计阶段结构设计的载荷输入。     

具有角动量存贮挠性飞行器大角度姿态机动的非线性控制

本文采用欧拉四元数、姿态角速度和振型模态坐标、建立了具有角动量存贮挠性飞行器姿态动力学的奇异摄动非线性模型。讨论了系统的慢流形降阶和校正控制方法,给出了非线性退化系统的全局线性化公式。文中还介绍了数字仿真实例和结果。