Discrete-time min-max tracking

The problem of optimal state estimation of linear discrete-time systems with measured outputs that are corrupted by additive white noise is addressed. Such estimation is often encountered in problems of target tracking where the target dynamics is driven by finite energy signals, whereas the measurement noise is approximated by white noise. The relevant cost function for such tracking problems is the expected value of the standard H/sub /spl infin// performance index, with respect to the measurement noise statistics. The estimator, serving as a tracking filter, tries to minimize the mean-square estimation error, and the exogenous disturbance, which may represent the target maneuvers, tries to maximize this error while being penalized for its energy. The solution, which is obtained by completing the cost function to squares, is shown to satisfy also the matrix version of the maximum principle. The solution is derived in terms of two coupled Riccati difference equations from which the filter gains are derived. In the case where an infinite penalty is imposed on the energy of the exogenous disturbance, the celebrated discrete-time Kalman filter is recovered. A local iterations scheme which is based on linear matrix inequalities is proposed to solve these equations. An illustrative example is given where the velocity of a maneuvering target has to be estimated utilizing noisy measurements of the target position.     

射手模型优化与辨识及其对图像制导的影响

基于数据链通信的人在回路制导模式额外引入了射手动力学而且存在图像信号延时,含有射手动力学的控制回路会对目标在视场（LOS）中的误差角进行跟踪补偿,从而提升图像制导弹药的制导控制性能。为探究射手动力学和图像信号延时对人在回路制导性能的影响,基于真实的图像导引头模型及参数,设计校正网络以满足导引头稳定回路的性能需求;引入两类射手模型,针对射手模型2,优化模型结构并通过贴近真实环境的辨识实验得到动力学参数,弥补了现有建模的不足。基于射手对不同图像信号延时的适应性,对比研究了两类射手模型与不同图像信号延时对导引头控制系统稳定性、快速性和人在回路比例导引制导精度的影响。仿真结果表明：图像信号延时越长,导引头跟踪速度越低、误差角越大,制导系统的收敛时间越长;优化后的射手模型2及其参数辨识更准确地描述了射手的操作行为,对制导系统的影响较低且满足系统性能要求。     

Optimum Cross-Coupled Tracker for Pulse-Doppler Radar

Although there is a well-defined relation between range and range rate, in conventional pulse-Doppler tracking radars the range-gate and frequency control loops are usually closed independently. In this paper, the optimum cross- coupled stationary tracking filter is derived, in which the range error signal is used to boost the frequency loop, and vice versa. The filter is derived for a general case of target dynamics and uncorrelated white noise in both the range gate and frequency control channels. It is shown that its tracking performance is superior to that of the conventional uncoupled tracking loop for reliable frequency channel operation. In solving the usually difficult degenerated Riccati matrix equation, a simple solution is obtained by applying the method of completion of the square to matrixes.     

Noise analysis of a digital tanlock loop

The noise performance analysis of a nonuniform digital phase-locked loop (DPLL), called the digital tanlock loop (DTL), is investigated by both analytic and computer-simulation methods. The results are presented in terms of phase error probability mass function and mean time to skip cycle versus input signal-to-noise ratio (SNR). These results are compared to the ones obtained with the conventional sinusoidal DPLL loop (DPLL). It is found that, for low-to-moderate input SNR, the DTL has only a slight improvement over the DPLL. The DTL, however, has larger linear characteristics than the conventional DPLL, which makes it attractive for applications that require an increased tracking range or as a first stage in carrier tracking systems based on optimum estimation procedures such as a Kalman smoother     

Application of the Volterra Series to the Analysis and Design of an Angle Track Loop

A typical function of an angle tracking loop is to keep a radar antenna pointed at a target. The error in pointing is directly related to successful operation of the tracking device; therefore, its behavior is of interest. For a tracker with a general polynomial nonlinearity, an arbitrary initial pointing error, and a bounded deterministic input, a method is developed for finding upper bounds on the magnitude of the tracking error using Volterra series techniques. Convergence regions of the Volterra series are also obtained. Applications of these results are made to a second-order tracking device.     

喷嘴为执行机构的空间飞行器基于误差四元数的非线性姿态跟踪控制

研究带喷嘴空间飞行器在姿态跟踪机动时的多轴耦合非线性姿态控制问题。姿态运动学和动力学用误差四元数描述。通过线性变换将误差四元数动力学方程转换成 4个摄动双积分系统 ,并基于此摄动双积分系统设计了开关控制器。由误差四元数及其导数构成的抛物型开关函数决定了控制器中的逻辑。文章考虑了最短的姿态捕获路径、外部干扰抑制、和不确定参数补偿问题。控制器允许力矩矩阵为非对称 ,从而使喷气执行机构的安装有更好的灵活性。由于不需要目标的加速度反馈 ,控制器可用于对机动目标的跟踪。用相平面方法分析了闭环系统的鲁棒稳定性。仿真结果验证了控制方案的可行性     

飞行模拟转台高精度数字重复控制器的设计

从工程的角度讨论了离散重复控制系统的设计,所提出的重复控制方法可保证速度跟踪误差快速收敛为零。在重复控制器中采用了高阶低通滤波器和动态补偿器,改善了跟踪精度,保证了系统的稳定性,减少了周期性扰动误差。将所提出的方法应用于飞行模拟转台伺服系统的速度控制中,仿真结果表明,针对周期指令信号和周期干扰信号可保证较高的跟踪精度和较强的稳定性和鲁棒性。     

双轮移动机器人运动目标追踪与避障控制算法

 设计了双回路的双轮移动机器人运动目标追踪与避障控制方案。内层控制回路是运动目标追踪控制律,指导机器人追踪到目标并保持一定的安全距离,控制律考虑了机器人在运动速度上的限制,其渐近稳定性用Lyapunov函数法进行了证明。当遇到障碍物时,外层控制回路根据超声传感器的信息和阻抗控制的概念产生阻抗虚拟力,将期望目标调整到虚拟位置,使机器人能够自动转向以避开障碍物。仿真研究和实验结果证明了追踪算法的有效性和避障方法的可行性。     

制导飞行含人工跟踪的飞行力学分析

以工程应用为背景，研究了含人工跟踪的制导飞行动力学问题，首先，给出了经过技术培训的行为物理模型。接着详细分析了人工跟踪回路的稳定性和跟随性，同时提供了一种改善人工回路特性的方法。最后，对含人跟踪回路的飞行器闭环回路的人工跟踪误差特性进行分分析和仿真计算。仿真结果证明该研究方案是可行的，研究结果已被国内有关部门在工程上采用。     

大型平台的惯性稳定与地理坐标系姿态跟踪

介绍了一种大型两轴稳定平台的惯性稳定和地理系姿态跟踪原理,建立了稳定平台俯仰框架和横滚框架的运动学模型和动力学模型,进行了稳定平台横滚通道的角速度回路和角位置回路设计,仿真分析了姿态角测量误差作用下的稳定平台姿态跟踪性能,与利用加速度计反馈实现调平的两轴阻尼稳定平台进行对比,比对结果验证了本文设计的控制系统在水平姿态跟踪速度和抗干扰能力上的优势.平台样机进行了姿态跟踪测试,结果验证了结合定位定向系统(POS)的稳定平台惯性稳定和姿态跟踪控制方法可行.     

A high dynamics algorithm based on steepest ascent method for GNSS receiver

High dynamic conditions impose critical challenges on Global Navigation Satellite System (GNSS) receivers, leading to large tracking errors or even loss of tracking. Current methods that intend to improve receivers’ adaptability for high dynamics require either complicated structures or prior statistical information of noises. This paper proposes a high dynamics algorithm based on steepest ascent method that can circumvent the deficiencies of existing methods. First, the relationship between the error of carrier tracking and the maximum of Fast Fourier Transform (FFT) outputs is established, and a performance function based on the steepest ascent method is designed. It can keep stable in high dynamics. Second, a new carrier-tracking loop is constructed by deploying the performance function. When the variation of GPS receiver acceleration ranges from 10 g to 100 g, compared with the PLL that either loses lock or keeps tracking accuracy less than 33.89 Hz, the experimental results show that the proposed method can not only keep tracking, but also achieve tracking accuracy more than 2.77 Hz.     

半捷联位标器稳定跟踪与弹体姿态一体化控制

半捷联位标器安装在弹体上,由于寄生回路的存在,使得位标器稳定跟踪控制回路和弹体姿态控制回路产生严重耦合,影响了位标器的稳定与跟踪。针对半捷联导引头稳定平台的稳定与跟踪问题,提出了一种半捷联位标器稳定跟踪控制与弹体姿态控制的一体化方法。基于反步控制原理设计了控制律,通过合理选择反馈增益可保证系统的稳定性与动态性能。最后对一体化设计与传统分离设计进行了仿真对比。仿真结果表明：考虑位标器稳定跟踪回路与导弹姿态回路耦合的一体化控制器,不仅能够保证弹体姿态控制系统快速响应,还可以提高位标器的稳定跟踪性能,并降低位标器跟踪不上高速目标的可能性。     

Exact Target Angular Coordinates from Biased Radar Measurements

Exact and simplified expressions are derived for the calibration of raw target coordinate measurements obtained from a tracking radar, The measured target position in angle is indicated by the displacement of the antenna boresight. The true target position, however, deviates from this measured value because of such system biases as tilt (leveling error), nonorthogonality of axes, collimation error, dynamic lag, etc. These and other biases are accounted for in this paper. The pedestal configuration assumed is an elevation over azimuth mount. A noise-free environment is also assumed.     

Self-Tuning Multisensor Weighted Measurement Fusion Kalman Filter

For the multisensor systems with unknown noise variances, based on the solution of the matrix equations for the correlation function, the on-line estimators of the noise variance matrices are obtained, whose consistency is proved using the ergodicity of sampled correlation function. Further, two self-tuning weighted measurement fusion Kalman filters are presented for the multisensor systems with identical and different measurement matrices, respectively. Based on the stability of the dynamic error system, a new convergence analysis tool is presented for a self-tuning fuser, which is called the dynamic error system analysis (DESA) method. A new concept of convergence in a realization is presented, which is weaker than the convergence with probability one. It is rigorously proved that the proposed self-tuning Kalman fusers converge to the steady-state optimal Kalman fusers in a realization or with probability one, so that they have asymptotic global optimality. A simulation example for a target tracking system with 3 sensors shows their effectiveness.     

直接力控制飞机非常规响应耦合敏感性分析

 针对当前直接力控制系统设计实践中遇到的直接力控制（ＤＦＣ）飞机非常规响应耦合敏感性问题，借助闭环系统动力学和瞄准误差动力学理论进行推导与分析，进而通过实例计算，得出可供ＤＦＣ系统设计及飞机飞行品质评定参考的重要结论。     

Optimal trajectory design accounting for the stabilization of linear time-varying error dynamics

This study is dedicated to the development of a direct optimal control-based algorithm for trajectory optimization problems that accounts for the closed-loop stability of the trajectory tracking error dynamics already during the optimization. Consequently, the trajectory is designed such that the Linear Time-Varying(LTV) dynamic system, describing the controller’s error dynamics, is stable, while additionally the desired optimality criterion is optimized and all enforced constraints on the traje...     

基于I、Q信号的北斗接收机跟踪环路设计

传统的北斗接收机一般采用标量跟踪环,每个通道的卫星相互独立,在此 基础上,又发展起来了基于矢量跟踪的接收机,使每个通道的卫星跟踪不再相互独立。 提出的基于I、Q 信号观测的接收机跟踪环路,保留矢量跟踪的特点,并且采用EKF 作 为跟踪环路预处理滤波器,代替传统跟踪环路的鉴别器,可以在高动态的环境下对卫星 信号进行跟踪,提高环路的稳定性,从而可以有效地提高BDS/INS 深组合导航滤波器观 测量的估计精度。主要对高动态信号跟踪进行仿真,并与传统的标量跟踪方法和矢量跟 踪方法的跟踪能力进行比较。实验表明, 改进的矢量跟踪环能够在高动态的环境下运 行,比起传统环路有更小的跟踪误差。     

Modeling and analysis for the GPS pseudo-range observable

In this paper, a digital system for the Global Positioning System (GPS) pseudo-range observable is modeled and analyzed theoretically. The observable is measured in a GPS receiver by accurately tracking the pseudorandom noise (PRN) code phase of the input GPS signal using a digital energy detector and a digital delay lock loop (DDLL). The following issues are presented: (1) mathematical modeling of the digital PRN code acquisition and tracking system, (2) the closed-form expression derivation for the detection and false-alarm probabilities of the acquisition process and for the variance of code phase tracking error, and (3) the linear and nonlinear performance analysis of the DDLL for optimizing the receiver structures and parameters with tradeoff between the tracking errors due to receiver dynamics and due to input noise     

Design and analysis of a microprocessor-controlledpeak-power-tracking system [for solar cell arrays]

Stability and dynamics of a series configuration peak-power tracking (PPT) system are analyzed. The operating modes of the system, as well as mode transitions, are investigated based on qualitative graphical representations of dc load lines at various interfaces of the system. Analysis of multiloop control in the PPT mode is discussed. This includes the design of the inner voltage loop and analysis of the closed-loop system stability around the peak-power point. For an optimum dynamic performance and stability, design parameters of the inner voltage loop and the outer PPT loop are identified. Experimental verifications, supported by simulation results, are performed     

Stability Criterion for a Hybrid Phase-Locked Loop Range Tracker

A currently tested high-performance electronic range tracker operating in a linear region and tracking a nearly stationary target can be modeled as a hybrid or gated phase-locked loop. A relationship for stability in this system is developed. The relationship is applicable to both Type I and Type II second-order hybrid phase-locked loop trackers.