Comparison of SDINS in-flight alignment using equivalent errormodels

The psi-angle model and the equivalent tilt (ET) model have been widely used for in-flight alignment (IFA) to align and to calibrate a strapdown inertial navigation system (SDINS) on a moving base. However, these models are not effective for a system with large attitude errors because the neglected error terms in the models degrade the performance of a designed filter. In this paper, with an odometer as an external aid, a velocity-aided SDINS is designed for IFA. Equivalent error models applicable to IFA with large attitude errors are derived in terms of rotation vector error and additive and multiplicative quaternion errors. It is found that error models in terms of additive quaternion error (AQE) become linear. Thus the proposed error models reduce unmodeled error terms for a linear filter. From a number of van tests, it is shown that the proposed error models effectively improve the performance of IFA     

Multiposition alignment of strapdown inertial navigation system

The authors demonstrate that the stationary alignment of strapdown inertial navigation system (SDINS) can be improved by employing the multiposition/technique. Using an observability analysis, it is shown that an optimal two-position alignment not only satisfies complete observability conditions but also minimizes alignment errors. This is done by analytic rank testing of the stripped observability matrix and numerical calculation of the error covariance. It is also shown that an optimal three-position alignment accelerates the convergence of the alignment error compared with two-position alignment     

Strapdown INS error model for multiposition alignment

The relationship between quaternion errors and tilt angles from true navigation frame to analytic platform frame is newly derived for strapdown inertial navigation system (SDINS). Using the relationship it is shown that the quaternion error model for attitude and velocity is equivalent to the conventional perturbation error model. Based upon the equivalency, the quaternion errors during a multiposition alignment are determined and analyzed. Furthermore, it is shown that the heading rotation of 180 deg achieves the minimal quaternion error for 2-position ground alignment     

Simultaneous state and actuator fault estimation for satellite attitude control systems

In this paper, a new nonlinear augmented observer is proposed and applied to satellite attitude control systems. The observer can estimate system state and actuator fault simultaneously. It can enhance the performances of rapidly-varying faults estimation. Only original system matrices are adopted in the parameter design. The considered faults can be unbounded, and the proposed augmented observer can estimate a large class of faults. Systems without disturbances and the fault whose finite times derivatives are zero piecewise are initially considered, followed by a discussion of a general situation where the system is subject to disturbances and the finite times derivatives of the faults are not null but bounded. For the considered nonlinear system, convergence conditions of the observer are provided and the stability analysis is performed using Lyapunov direct method. Then a feasible algorithm is explored to compute the observer parameters using linear matrix inequalities (LMIs). Finally, the effectiveness of the proposed approach is illustrated by considering an example of a closed-loop satellite attitude control system. The simulation results show satisfactory perfor-mance in estimating states and actuator faults. It also shows that multiple faults can be estimated successfully.     

一种弱重力环境下的高速旋转载体滚动角快速对准方法

为解决高速旋转载体无控飞行段弱重力环境下惯导空中动基座对准问题，研究了基于旋转载体惯性信息特征的滚动角快速对准方法。首先分析了旋转载体的惯性信息特征。针对这一特征，提出了一种基于载波相位跟踪的滚动角对准方法，仅利用Y轴陀螺或Z轴陀螺信息即可实现滚动角的快速对准。为进一步提高该方法的适应性，充分利用Y轴陀螺或Z轴陀螺的信息，提出了一种基于双信源信息融合的惯导滚动角对准方法，以实现最优的滚动角跟踪结果。仿真与试验结果表明，该方法可在不依赖卫星、无初始姿态角且载体失重的条件下，5s内完成滚动角快速对准，且对准精度优于3°。该方法可自适应地剔除异常滚动角跟踪结果，有效提高了高速旋转载体用惯性导航系统对复杂力学环境的适应性与可靠性。     

大失准角下MIMU空中快速对准技术

 为了提高微小型无人机空中的反应速度和作业精度,提出将基于模型误差预测的扩展卡尔曼滤波(MEP-EKF)方法应用在大失准角下微惯性测量单元(MIMU)的空中对准中,通过不同机动飞行策略的仿真结果,证实MEP-EKF算法不仅能够实时估计出系统的模型误差,而且将其与扩展卡尔曼滤波(EKF)和Unscented卡尔曼滤波(UKF)方法进行了仿真比较,结果表明MEP-EKF算法在方位误差角的估计上,取得了比EKF和UKF精度高的仿真结果,使得方位失准角由30°快速下降到1°左右,而且MEP-EKF所需时间仅是UKF的17%。     

基于未知输入观测器的非线性动态系统故障估计

针对一类受扰非线性动态系统的执行器故障估计问题,提出一种未知输入观测器来实现故障估计。首先,通过坐标变换将原系统转化为合适的形式;其次,采用线性矩阵不等式与Lyapunov泛函分别设计H_∞输出反馈控制器和未知输入观测器,在此基础上实现对系统中执行器故障的渐近估计;最后,通过机械臂系统仿真分析并验证了所提方法的有效性。与已有方法相比,所提方法不要求故障可导,也不要求故障或干扰上界已知,因此易于在工程实际中实现对非线性系统执行器故障的估计。     

Observability of an integrated GPS/INS during maneuvers

An observability analysis of a GPS/INS system during manoeuvers is presented based upon a perturbation model with respect to the Earth-centered-Earth-fixed (ECEF) coordinate system. Analysis is performed on two types of manoeuvers, linear acceleration and steady turn. These manoeuvers could be used for in-flight INS alignment using GPS. During the constant linear acceleration without rotation relative to the Earth, the linear system model is shown to be time-invariant. The observability analysis for the time invariant linear system model shows that linear acceleration does not change the number of observable modes but rather the structure of the observable space. For a nonconstant linear acceleration or a steady turn, the perturbation linear system becomes time varying. For this time-varying system, three types of observability are considered, complete, differential, and instantaneous observability. Instantaneous observability is the strongest properties and means that the state of the system at any time may be determined instantaneously from observation of the output and its derivatives. Instantaneous observability is important for fast in-flight INS alignment. It is shown that the number of instantaneously observable moded is increased by at least 2 during a maneuver. Hence, some linear combinations of the attitude angles become instantaneously observable.     

基于模糊系统的径向高斯网络的自适应状态观测器

利用模糊系统的径向高斯函数网络对一类非线性时变系统的状态进行了估计。给出了一种递阶自组织在线学习算法,提出了非线性时变系统的自适应状态观测器,并对其结构及特征进行了讨论,仿真结果表明这种自适应状态观测器能很好地观测系统的状态。     

基于神经网络的自适应状态观测器

利用ＢＰ神经网络动态系统对一类非线性时变系统的状态进行了估计。利用神经网络的“学习－遗忘”特性,提出了非线性时变系统的自适应状态观测器,对其结构及特性进行了讨论。仿真结果表明这种自适应状态观测器能跟踪系统参数及状态的变化。     

飞机迎角的校准及测量

本文首先叙述了迎角传感器空中校准的必要性和常用校准方法,简要介绍了各种常用空中校准方法的原理及其优缺点。实践表明利用静姿态角法阳参数辨识法相结合进行迎角空中校准,在一定范围内是切实可行的。但在大迎角及失速飞行中因非线性带来的一些问题大大增加了校准的难度。本文针对这一事实提出了用直接测定姿态角加计算航迹角间接确定飞机迎角的方法,解决了Y—7飞机失速试飞中的迎角测量问题。实践表明,该方法可以推广用于一般民用飞机的迎角测量。     

Detection and range/Doppler estimation for colocated sensors

The problem of multisensor detection and high resolution signal state estimation using joint maximum a posteriori detection and high order nonlinear filtering techniques is addressed. The model-based fusion approach offers the potential for increased target resolution in range/Doppler/azimuth space. The approach employs joint detection/estimation filters (JDEF) for target detection and localization. The JDEF approach segments the aggregate nonlinear model over the entire target resolution space into a number of localized nonlinear models by partitioning the resolution space into a number of resolution subcells. This partitioning leads to extremely accurate state estimation. The proposed JDEF approach has a built-in capability for automatic data alignment from multiple sensors, and can be used for centralized, decentralized, and distributed data fusion.     

航天器姿控系统的PD型学习观测器故障重构

针对满足Lipschitz条件的航天器姿态控制系统这一非线性系统中存在的执行器加性故障、空间干扰与测量噪声问题,提出了基于PD型迭代学习观测器的故障重构方法。该方法具有期望的鲁棒性能指标,能够在系统存在空间干扰与测量噪声情况下实现对突变故障与时变故障等故障类型的精确重构。基于线性矩阵不等式技术给出系统化PD型迭代学习观测器的设计方法,并根据Lyapunov稳定性理论对上述设计方法的稳定性条件进行了理论证明,同时利用鲁棒技术抑制空间干扰与测量噪声对执行器故障重构的影响,通过线性矩阵不等式工具箱求解观测器参数矩阵。最后,将该方法应用到航天器姿态控制系统中,仿真结果证明了该方法的有效性。     

Nonlinear observer and output feedback attitude control ofspacecraft

The problem of controlling a spacecraft by measuring only the angular position (roll, pitch, and yaw) is considered. A nonlinear observer is proposed which asymptotically reconstructs all the spacecraft state variables; if the spacecraft actuators are reaction wheels, the angular velocities of the wheels also must be measured. It is shown that if the observer is used in connection with asymptotically stable state feedback controllers, the extended system (spacecraft, controller, and observer) is still asymptotically stable. Simulation results are reported to illustrate the dynamic behavior of the observer     

无迹卡尔曼滤波器在惯导初始对准中的应用研究

滤波技术在惯导系统初始对准中的应用是一项重要的研究内容,随着非线性滤波技术的发展,如何通过新的滤波技术来提高初始对准的性能近年来得到了广泛关注。文章针对可扩展卡尔曼滤波器存在着计算复杂和滤波不稳定的缺点,尝试了一种新的非线性滤波器——无迹卡尔曼滤波器。针对所采用的非线性初始对准模型的特点,对无迹卡尔曼滤波器进行了简化,将简化后的无迹卡尔曼滤波器应用于非线性初始对准中,得到了较好的对准效果。     

PREDICTIVE VARIABLE STRUCTURE CONTROL FOR A CLASS OF NONLINEAR SYSTEM

Nonlinear sliding mode predictive controller is designed for a class of nonlinear system with unmodeled dynamic characteristics and nonlinear term. The method is based on nonlinear optimal predictive control. The variable structure control law minimizes the quadratic index of a predictive sliding mode, which contains the cost function of control preventing the control effect from saturation for in most practical implementation the control inputs are bounded by physical constraints and energy constraints. According to the immeasurable states, the variable structure observer for nonlinear systems is adapted. The variable structure system method is apt to the realization of observer with variable parameters and uncertainty. The proof shows that the states of the observer asymptotically convergence to the real states of the system although it is of uncertainty and nonlinear terms. Finally, the digital simulation results prove the effectiveness of the proposed method.     

In-Flight Alignment and Calibration of Inertial Measurement Units?Part I: General Formulation

This is the first part of a two-part paper which summarizes work pursued by the author in 1966 [1]. The paper describes the application of minimum-variance estimation techniques for in-flight alignment and calibration of an inertial measurement unit (IMU) relative to another IMU and/or some other reference. The first part formulates the problem, and the second part [2] reports numerical results and analyses. The approach taken is to cast the problem into the framework of Kalman-Bucy estimation theory, where velocity and position differences between the two IMU's are used as observations and the IMU parameters of interest become part of the state vector. Instrument quantization and computer roundoff errors are considered as measurement noise, and environmental induced random accelerations are considered as state noise. Typical applications of the technique presented might include the alignment and calibration of IMU's on aircraft carriers, the initialization of rockets or rocket airplanes which are launched from the wing of a mother ship, the alignment and calibration of IMU's which are only used in the latter phases of rocket flight, and for the initialization/updating of SST guidance systems.     

具有Lipschitz非线性系统的航天器故障检测

对存在未知干扰的Lipschitz非线性系统,探讨了基于滑模观测器的执行器故障检测的方法。通过等价状态变换,可以得到2个子系统,其中一个子系统与执行器故障和未知干扰耦合,而另一个子系统则只与执行器故障耦合。在此基础上,提出了一种免受未知干扰影响,可对执行器故障敏感的滑模观测器设计方法。这种滑模观测器可以作为故障检测工具,而将其输出估计误差作为残差发生器,用于执行器故障检测。相比滑模观测器的故障重构方法,该方法大大放宽了对数学假设条件的要求。最后,对一个大攻角状态下的航天器的简化模型进行了数字仿真,仿真结果表明了所提方法的有效性。     

Observer-based adaptive sliding mode backstepping output-feedback DSC for spin-stabilized canard-controlled projectiles

This article presents a complete nonlinear controller design for a class of spin-stabilized canard-controlled projectiles.Uniformly ultimate boundedness and tracking are achieved,exploiting a heavily coupled,bounded uncertain and highly nonlinear model of longitudinal and lateral dynamics.In order to estimate unmeasurable states,an observer is proposed for an augmented multiple-input-multiple-output(MIMO) nonlinear system with an adaptive sliding mode term against the disturbances.Under the frame of a backstepping design,an adaptive sliding mode output-feedback dynamic surface control(DSC) approach is derived recursively by virtue of the estimated states.The DSC technique is adopted to overcome the problem of ‘‘explosion of complexity" and relieve the stress of the guidance loop.It is proven that all signals of the MIMO closed-loop system,including the observer and controller,are uniformly ultimately bounded,and the tracking errors converge to an arbitrarily small neighborhood of the origin.Simulation results for the observer and controller are provided to illustrate the feasibility and effectiveness of the proposed approach.     

Observer-based control for the platform of a tethered space robot

This paper addresses the attitude control problem of a space tethered robot platform in the presence of unknown external disturbance caused by a connecting elastic tether. The tether-generated unknown disturbance leads to tremendous challenges for attitude control of the platform. In this work, the perturbed attitude dynamics of the platform are derived with a consideration of the libration of the elastic tether, and then with the purpose of compensating the unknown disturbance, major attention is dedicated to develop a nonlinear disturbance observer based on gyros measurements, after which, an adaptive attitude scheme is proposed by combining the disturbance observer with a sliding mode controller. Finally, benefits from the observer based on an adaptive controller are validated by series of numerical simulations.