LMI approach to the mixed H2/H∞filtering design for discrete-time uncertain systems

The problem of full-order robust filtering design for discrete-time uncertain linear systems is addressed. The uncertain parameters are assumed to belong to convex bounded domains (polytope type uncertainty). The main purpose is to design a stable linear filter such that the filtering error output signal remains bounded. For that, the parameterization of all linear filters assuring quadratic stability with an H_∞ attenuation constraint to the filtering error system is provided in terms of linear matrix inequalities (LMIs). Then, through the definition of an auxiliary cost, an upper bound to the filtering error variance is minimized, providing a mixed H₂/H _∞ guaranteed cost filtering design. Standard optimization procedures with global convergence assured can be used to solve the problem, as illustrated by an example     

基于Kalman滤波的变体飞行器T-S模糊控制

针对变体飞行器的跟踪控制问题,提出了一种基于Kalman滤波的T-S模糊控制方法。考虑飞行器系统状态不可测,引入惯导数据作为辅助信息,利用Kalman滤波算法融合飞控信息与惯导信息实现状态估计。由于变体飞行器在不同变形结构下气动特性变化较大,为便于控制器设计,采用小扰动线性化方法得到飞行器在不同平衡点处的局部线性模型,并通过状态反馈方法设计局部控制器,局部线性模型和局部控制器通过模糊集和模糊规则聚合成一个连续光滑的全局T-S模糊模型和T-S模糊控制器。通过综合Kalman滤波器与T-S模糊控制器得到一个基于Kalman滤波的T-S模糊控制器。仿真结果表明,该控制器在变形过程中能够实现状态估计,保证飞机的跟踪性能。     

Linear parametrically varying systems with brief instabilities: an application to vision/inertial navigation

This paper addresses the problem of nonlinear filter design to estimate the relative position and velocity of an unmanned air vehicle (UAV) with respect to a point on a ship using infrared (IR) vision, inertial, and air data sensors. Sufficient conditions are derived for the existence of a particular type of complementary filters with guaranteed stability and performance in the presence of so-called out-of-frame events that arise when the vision system loses its target temporarily. The results obtained build upon new developments in the theory of linear parametrically varying systems (LPVs) with brief instabilities - also reported in the paper - and provide the proper framework to deal with out-of-frame events. Field tests with a prototype UAV illustrate the performance of the filter and the scope of applications of the new theory developed.     

基于Starlink机会信号/INS的组合导航方法

针对全球卫星导航系统(GNSS)因频点单一、落地功率低、易受电磁干扰以及存在覆盖较差区域等潜在的被拒止或被干扰导致的导航系统性能降低甚至失效的问题,提出了一种基于星链(Starlink)机会信号融合惯性导航系统(INS)的飞行器动态组合导航方法。首先分析了星链信号体制,建立了基于星链星座卫星下行机会信号的瞬时多普勒定位观测模型,设计了一种基于频率细分的快速最大似然多普勒频率估计方法,然后建立了基于扩展卡尔曼滤波(EKF)的Starlink机会信号/INS的组合导航模型,并对该导航方法进行了实验及分析。结果表明,该方法可为飞行器提供长航时、连续、高精度的导航。动态飞行情况下,该方法可实现平均优于25 m的三维定位精度和平均优于0.1 m/s的速度估计精度,比相同观测时间下的惯导精度提高了1～2个数量级,显著提高了飞行器的导航精度,可为战略导航提供方法和技术支撑。     

非线性反馈线性化方法在飞控系统中的应用

应用非线性反馈精确线性化方法进行了飞机自动着陆系统设计。首先,用非线性微分方程组表示的飞机纵向控制系统,在经过输入输出反馈线性化以后,可等效为线性系数;然后,用线性的ＰＩＤ控制方法对变换后的线性系统进行了设计;最后,考虑风的干扰,对所设计的飞机自动着陆控制系统进行了数字仿真。仿真结果表明,用反馈线性化方法设计的飞控系统具有良好的性能。     

传递对准中载舰挠曲变形和杆臂效应一体化建模与仿真

 针对舰载机惯导系统大方位失准角传递对准的非线性问题,根据舰载机在载舰上的实际停放情况,引入舰载机标称坐标系,并综合考虑载舰挠曲变形和杆臂效应的影响,建立挠曲变形和杆臂效应加速度一体化模型,完善舰载机惯导系统大方位失准角传递对准线性化模型。采用“速度+角速度”组合匹配算法的滤波模型,对固定安装失准角和挠曲变形角进行了估计。结果表明,该模型在舰载机大方位失准角传递对准时可以满足对准精度和时间的要求。     

High accuracy navigation and landing system using GPS/IMU systemintegration

In this paper, the accuracy, integrity and continuity of function requirements for automatic landing systems using satellite navigation systems are discussed. Such a landing system is the integrated navigation and landing system (INLS) developed by Deutsche Aerospace (DASA/Ulm, Germany). The system concepts of the INLS are presented. It is shown how an INLS, based on system integration of a satellite navigation system (e.g., GPS) in realtime differential mode with an inertial measurement unit (IMU) in the accuracy class of an attitude and heading reference system (AHRS), can meet the requirements: the results given are mainly devoted to the accuracy issues. Using Kalman filter techniques, an in-flight calibration of the IMU is performed. The advantage of system integration, especially in dynamic flight conditions and during phases of flight with satellite masking, is explained. The accuracy, integrity and continuity of function of the INLS were proven by means of flight tests in a commuter aircraft using a laser tracker as a reference. These flight tests have shown that the short-term accuracy (<60 seconds) of the AHRS used within the INLS has been improved from low cost sensor quality to the accuracy of a high quality laser inertial navigation system (LNIS). With the presented INLS, a landing at any airfield, not equipped with conventional Instrument Landing System (ILS) or Microwave Landing System (MLS), is possible by using a very cost effective system. The INLS is a high accuracy navigation and landing system designed to be used instead of conventional landing systems at small airfields and to fill operational gaps of conventional navigation and landing systems in cruise and approach on large airports     

Vision-aided inertial navigation for pinpoint planetary landing

Autonomous and safe landing spacecraft on moon and planetary bodies is a rather difficult and risky task. Accurate relative navigation between the spacecraft and the planetary surface is essential, together with the autonomous hazard detection and avoidance. This paper describes the vision-aided inertial navigation (VAIN) scheme to meet the pinpoint landing requirement of the next generation planetary lander. Images of distinctive surface feature called feature points/landmarks are detected and tracked autonomously to improve the performance of inertial navigation. Landmark image information derived from optical navigation camera and the spacecraft state information sensed by IMU (Inertial Measurement Unit) are integrated in extended Kalman filter algorithm. The validity of the proposed navigation scheme is confirmed by computer simulation.     

Research on High-Precision Measurement Systems of Modern Aircraft

High-precision measurement systems of modern aircraft are studied in this paper. A measurement system with correction in the structure of inertial navigation system is introduced for highprecision aircraft. In the correction algorithms, a linear error model of the navigation system is usually used. With the aim of increasing the accuracy of the navigation system, we propose a nonlinear correction algorithm based on the state dependent coefficient representation of the nonlinear model.     

Navigation system design using time-varying complementary filters

A new methodology for the design of navigation systems for autonomous vehicles is introduced. Using simple kinematic relationships, the problem of estimating the velocity and position of an autonomous vehicle is solved by resorting to special bilinear time-varying filters. These are the natural generalization of linear time-invariant complementary filters that are commonly used to properly merge sensor information available at low frequency with that available in the complementary region. Complementary filters lend themselves to frequency domain interpretations that provide valuable insight into the filtering design process. This work extends these properties to the time-varying setting by resorting to the theory of linear differential inclusions and by converting the problem of weighted filter performance analysis into that of determining the feasibility of a related set of linear matrix inequalities (LMIs). Using this set-up, the stability of the resulting filters as well as their "frequency-like" performance can be assessed using efficient numerical analysis tools that borrow from convex optimization techniques. The mathematical background that is required for complementary time-varying filter analysis and design is introduced. Its application to the design of a navigation system that estimates position and velocity of an autonomous vehicle by complementing position information available from GPS with the velocity information provided by a Doppler sonar system is described.     

Damage-mitigating control of aircraft for enhanced structuraldurability

The concept and a design methodology for robust damage-mitigating control (DMC) of aircraft is presented. The goal of DMC is to simultaneously achieve high performance and structural durability and the design procedure is based on damage mitigation at critical structures and retention of the flight performance. An aeroelastic model of the wings has been formulated and is incorporated into a nonlinear rigid-body model of aircraft flight-dynamics. Robust damage-mitigating controllers are then designed using the H_∞-based structured singular value (μ) synthesis method based on a linearized model of the aircraft. In addition to penalizing the error between the ideal performance and the actual performance of the aircraft, frequency-dependent weights are placed on the strain amplitude at the root of each wing, Using each controller in turn, the control system is put through an identical sequence of maneuvers, and the resulting (varying amplitude cyclic) stress profiles are analyzed using a fatigue crack growth model that incorporates the effects of varying-amplitude cyclic loading. Comparisons are made to determine the impact of different strain-amplitude weights on the resulting flight performance and fatigue crack damage in the wings. The results of simulation experiments show significant savings in fatigue life of the wings while retaining the dynamic performance of the aircraft     

Nonlinear robust observer design for strapdown INS in-flight alignment

A nonlinear observer is proposed for a strapdown inertial navigation system (SDINS) in-flight alignment problem using an H/sub /spl infin// filter Riccati equation and a freedom parameter. The proposed observer improves the filtering stability, convergence, and performance. The characteristics of the observer are analyzed using a Lyapunov function. Simulation results demonstrate a significant reduction in alignment errors by employing the proposed nonlinear observer. The observer is developed in general such that it can be applied to estimating nonlinear systems other than the SDINS in-flight alignment.     

基于极限学习机的黑障区智能导航算法

在黑障区飞行阶段中,惯性导航系统会因缺少辅助导航系统而持续累积误差,导致飞行器导航系统可靠性下降。针对这一问题,提出了一种新的基于极限学习机的黑障区智能导航算法,通过极限学习机(ELM)对GPS正常工作的导航信息进行学习。在黑障区,利用学习得到的模型对惯性导航系统进行误差补偿,较好地修正了当GPS失锁时惯性导航系统的误差,避免了因误差累积而导致的导航信息发散。仿真结果表明,该算法能够保证在GPS失锁的黑障区中导航系统输出的信息有较好的可靠性和精度,能够为接下来的姿态调整和着陆准备提供良好的基础。     

一种着陆视觉导航P3P问题的解法

P3P问题是机器视觉领域的经典问题,其多解的排除与唯一解的确定是研究热点。针对飞行器着陆过程中机载视觉设备跑道成像的特点,提出了一种着陆视觉导航P3P问题唯一解的求解方法。该方法首先通过机场跑道的3条边线计算相对姿态,再根据直线方程求解相对位置,最终完成飞行器与跑道之间6个自由度参数的唯一确定。     

异常值和未知观测噪声鲁棒的非线性滤波器

针对含异常观测值的非线性系统滤波问题,以Huber损失函数替代推导滤波器最大后验准则中观测误差的l₂范数,构造出了一种新的优化准则函数,从而给出了一种对异常值鲁棒的非线性后验线性化滤波器。分析表明：由于Huber损失函数兼具l₁和l₂范数的性质,从而使得由这个新准则推导出的滤波器,不仅具有l₂范数的低误差拟合性,也具备l₁范数对异常值的鲁棒性。而当观测噪声的分布未知时,通过引入箱线图法检测异常值,并对噪声统计分布的参数进行估计,进一步提出了对异常值和未知观测噪声分布鲁棒的非线性后验线性化滤波器。仿真实验验证了分析结果的有效性,并表明本文算法的性能优于现有文献报道的非线性滤波算法。     

卫星拒止情况下低精度惯导系统航姿算法研究

在卫星拒止情况下,低精度MEMS惯导系统由于惯性器件性能较差,无法长时间保持姿态精度。从重力矢量及飞行器的动力学特性出发,提出了一种基于动态检测和Kalman数据融合的航姿算法。该算法从导航与飞控一体化的理念出发,实时判断飞行器机动和飞控状态,在低动态时利用Kalman滤波器对水平加速度和惯性解算的姿态角进行数据融合,估计和修正水平姿态误差,从而提高水平姿态精度。经过飞行仿真验证,该算法可有效完成飞行器的动态检测,并保证在系统机动情况下水平姿态误差在2°以内。     

Drag derived altitude aided navigation method

The navigation problem of the lifting reentry vehicles has attracted much research interest in the past decade.This paper researches the navigation in the blackout zone during the reentry phase of the aircraft,when the communication signals are attenuated and even interrupted by the blackout zone.However,when calculating altitude,a pure classic inertial navigation algorithm appears imprecise and divergent.In order to obtain a more precise aircraft altitude,this paper applies an integrated navigation method based on inertial navigation algorithms,which uses drag derived altitude to aid the inertial navigation during the blackout zone.This method can overcome the shortcomings of the inertial navigation system and improve the navigation accuracy.To further improve the navigation accuracy,the applicable condition and the main error factors,such as the atmospheric coefficient error and drag coefficient error are analyzed in detail.Then the damping circuit design of the navigation control system and the damping coefficients determination is introduced.The feasibility of the method is verified by the typical reentry trajectory simulation,and the influence of the iterative times on the accuracy is analyzed.Simulation results show that iterative three times achieves the best effect.     

Adaptive Two-Stage Extended Kalman Filter for a Fault-Tolerant INS-GPS Loosely Coupled System

The well-known conventional Kalman filter requires an accurate system model and exact stochastic information. But in a number of situations, the system model has an unknown bias, which may degrade the performance of the Kalman filter or may cause the filter to diverge. The effect of the unknown bias may be more pronounced on the extended Kalman filter (EKF), which is a nonlinear filter. The two-stage extended Kalman filter (TEKF) with respect to this problem has been receiving considerable attention for a long time. Recently, the optimal two-stage Kalman filter (TKF) for linear stochastic systems with a constant bias or a random bias has been proposed by several researchers. A TEKF can also be similarly derived as the optimal TKF. In the case of a random bias, the TEKF assumes that the information of a random bi?s is known. But the information of a random bias is unknown or partially known in general. To solve this problem, this paper proposes an adaptive two-stage extended Kalman filter (ATEKF) using an adaptive fading EKF. To verify the performance of the proposed ATEKF, the ATEKF is applied to the INS-GPS (inertial navigation system-Global Positioning System) loosely coupled system with an unknown fault bias. The proposed ATEKF tracked/estimated the unknown bias effectively although the information about the random bias was unknown.     

FDEKF在反辐射无人机抗目标雷达关机中的应用

基于捷联惯导/反辐射导引头组合抗目标雷达关机制导方案,研究了有限差分卡尔曼滤波(FDEKF)方法在对目标雷达被动定位中的应用。考虑反辐射导引头测角存在非线性特性,提出了一种基于扩展状态变量维数的方法实现了目标状态估计和导引头非线性特性补偿。仿真结果表明,FDEKF是一种具有良好性能的非线性滤波方法,可以代替传统的EKF解决反辐射无人机对目标雷达的被动定位问题。     

舰载机惯导系统快速传递对准方法建模与仿真

为解决舰载机惯导系统在大方位失准角条件下的快速传递对准问题,提出了一种新的线性化方法.通过舰船坐标系与舰载机标称坐标系之间的方向余弦矩阵,将舰船坐标系与舰载机实际坐标系之间的大方位失准角问题,转化为舰载机标称坐标系与舰载机实际坐标系之间的小方位失准角问题,建立了舰载机传递对准的线性化数学模型,采用"速度+姿态"匹配法对传递对准滤波器进行仿真.结果表明在20 s时间以内曲线即收敛,使得水平失准角误差和方位失准角误差在1以内,满足了对准速度和精度的要求,克服了传统方法对准时间较长的缺点.