Nonlinear H∞ based underactuated attitude control for small satellites with two reaction wheels

Underactuated attitude control is supposed to be used on spacecraft when failure happens with onboard actuators. One main problem with existing underactuated attitude control designs is their limited capabilities against disturbances. In order to solve this problem, an approach based on the theory of H∞$H\infty$ is proposed in this paper. Two propositions are derived from the H∞$H\infty$ theory to improve the robustness of one popular underactuated attitude control design, which was presented by Tsiotras et al. It is proved mathematically that the controller satisfying these two propositions respectively can stabilize the underactuated attitude system locally or globally. The numerical simulations show that the improved controllers based on the H∞$H\infty$ theory could provide higher pointing accuracy for small satellites against disturbances. This validates the effectiveness of the proposed H∞$H\infty$ based approach to improve existing underactuated attitude control designs.     

涡轴发动机LQ/H∞抗扰控制方法

提出了抑制涡轴发动机负载干扰的线性二次型（LQ）/H∞控制算法,以总距为干扰建模,利用线性矩阵不等式求得既满足LQ指标又对干扰具有H∞性能约束的状态反馈控制律.提出修正指令抑制干扰策略.采用比例微分控制将总距变化转换为动力涡轮转速指令的修正,实现增大或减小机动飞行中动力涡轮转速指令,抑制实际转速的下垂或超调.仿真结果表明：该控制方法能有效抑制干扰并具有良好的实时性.     

改进的Sage—Husa滤波及在卫星姿态估计中的应用

基于极大后验估计原理,提出了一种改进的噪声估计器,以实现对噪声均值和方差的在线估计,抑制滤波器发散。对自适应扩展卡尔曼滤波算法在卫星姿态确定系统中的应用进行了仿真。结果表明新算法滤波精度优于扩展卡尔曼滤波（EKF）,与Sage—Husa自适应滤波算法相比,可阻止滤波器发散,提高系统滤波精度。     

多目标非脆弱鲁棒控制器在飞行控制系统中的应用

针对飞行控制系统中存在的多种不确定性,提出了飞行控制系统的多目标非脆弱鲁棒控制器的控制方法。由系统的H2性能、H∞性能、区域极点配置和保性能控制四种控制目标,用线性矩阵不等式(LMI)法导出多目标鲁棒状态反馈控制器的存在条件,同时考虑了飞行控制系统中控制器增益的加性摄动,设计的控制器实现了系统的四种性能指标优化。仿真实验结果表明:该控制方法有较强的鲁棒性。     

先进战斗机纵向飞行特性与放宽静稳定度研究

放宽静稳定度在先进战斗机设计领域已获得广泛应用,与其相关的主动控制技术仍有进一步研究的价值,需要对放宽静稳定度对飞机纵向飞行性能的影响进行更全面的分析。以重心后移作为放宽静稳定度的方式,分析放宽静稳定度与某型战斗机俯仰力矩系数的关系,构建战斗机非线性模型并进行开环特性分析,在此基础上,分析放宽静稳定度对飞机运行平衡点的影响机理,对战斗机非线性模型进行线性化,并分析放宽静稳定度对飞机纵向线性模型阶跃响应特性和长短周期模态特性的影响。结果表明：放宽静稳定度可增大战斗机的俯仰力矩系数,提高飞机性能,但可能会使飞机本体模态特性变差,需要在设计控制率时予以考虑。     

Passive inter-modulation scattering analysis of reflector considering contact nonlinearity

 Passive inter-modulation (PIM) is a form of nonlinear distortion caused by the inherent nonlinearities of the passive devices and components in RF/microwave system. It will degenerate the performance of communication system with broad-band channel and high-sensitivity receiver. Therefore, it is necessary to construct a model to simulate this process in order to predict the level of PIM. This paper is aimed at constructing some plate models with one-dimensional and two-dimensional contact nonlinearity sections illuminated by two-tone waves, and calculating the scattered field at a fixed-point in space using time-domain physical optics method. By taking fast Fourier transform (FFT), we get the spectrum of the scattered field and then analyze the generated PIM products. At the end of this paper, some numerical examples are presented to show the influence rules of the relative factors on PIM. The results indicate the variation of the level of PIM with the number of the nonlinear regions, the nonlinear spacing, and the incident power levels.     

基于时频分析的裂纹转子碰摩故障特征研究

为研究转子系统耦合故障特性,采用有限元方法建立了含有横向裂纹、转静碰摩的非线性转子动力学模型。首先研究了不同转速下裂纹、碰摩单一故障下转子系统的振动响应,其次研究了两种故障耦合情况下系统的振动响应特征。采用波形图、FFT谱图、瞬时频率和Hilbert-Huang时频谱(HHS)相结合的方法对故障转子振动信号进行了分析。分析结果表明:运用多种时频分析相结合的方法可以较为全面地了解转子的故障特征,裂纹转子在1/5、1/3临界转速时会发生较为明显的5X、3X谐波,且裂纹的产生会导致响应幅值增大,从而引起更为严重的碰摩。     

MIDACO on MINLP space applications

A numerical study on two challenging mixed-integer non-linear programming (MINLP) space applications and their optimization with MIDACO, a recently developed general purpose optimization software, is presented. These applications are the optimal control of the ascent of a multiple-stage space launch vehicle and the space mission trajectory design from Earth to Jupiter using multiple gravity assists. Additionally, an NLP aerospace application, the optimal control of an F8 aircraft manoeuvre, is discussed and solved. In order to enhance the optimization performance of MIDACO a hybridization technique, coupling MIDACO with an SQP algorithm, is presented for two of these three applications. The numerical results show, that the applications can be solved to their best known solution (or even new best solution) in a reasonable time by the considered approach. Since using the concept of MINLP is still a novelty in the field of (aero)space engineering, the demonstrated capabilities are seen as very promising.     

Numerical modeling of propagation of breaking nonlinear acoustic-gravity waves from the lower to the upper atmosphere

Acoustic-gravity waves (AGWs) observed in the upper atmosphere may be generated near the Earth’s surface due to a variety of meteorological sources. Two-dimensional simulations of vertical propagation and breaking of nonlinear AGWs in the atmosphere are performed. Forcing near the Earth’s surface is used as the AGW source in the model. We use a numerical method based on finite-difference analogues of fundamental conservation laws for solving atmospheric hydrodynamic equations. This approach selects physically correct generalized solutions of the wave hydrodynamic equations. Numerical simulations are performed in a representative region of the Earth’s atmosphere up to altitude 500 km. Vertical profiles of temperature, density, molecular viscosity and heat conductivity were taken from the standard atmosphere model MSIS-90 for January. Calculations were made for different amplitudes and frequencies of lower boundary wave forcing. It is shown that after activating the tropospheric wave forcing, the initial pulse of AGWs may very quickly propagate to altitudes of 100 km and above and relatively slowly dissipate due to molecular viscosity and heat conduction. This may increase the role of transient nonstationary waves in effective energy transport and variations of atmospheric parameters and gas admixtures in a broad altitude range.     

椭圆轨道非线性相对运动模型的周期解与应用

在长期的航天器编队飞行中传统的基于线性相对运动模型设计编队保持轨道的方法会引起较多的燃料消耗.首先采用摄动法解析地求得了考虑二阶非线性项时椭圆轨道相对运动模型的周期性条件和周期解;然后以此周期解为参考轨道设计了基于Lyapunov稳定的PD保持控制律.仿真结果表明:基于椭圆轨道非线性相对运动模型的周期解较基于椭圆轨道线性相对运动模型的周期解,精度明显提高;以前者为参考轨道的保持控制与以后者为参考轨道的保持控制相比,燃耗明显降低.