自动驾驶仪动特性的局部收敛变结构导引律

针对拦截弹末制导全局收敛设计难度大等特点,在考虑导弹自动驾驶仪动态特性的前提下,提出局部收敛的变结构导引律.在设计过程中,先对局部收敛稳定性理论进行数学描述,然后将控制系统分解为两个子系统,且只考虑视线角速率的变化,使得设计过程大大简化,设计的导引律有效地克服了自动驾驶仪动态延迟对制导精度的影响.仿真结果表明,在目标做正弦机动,自动驾驶仪存在较大滞后情况下,局部收敛变结构导引律仍具有较高的制导精度.     

考虑自动驾驶仪与角度约束的制导律设计

以末端拦截高机动目标为背景,针对带有攻击角约束和自动驾驶仪动态特性情形下的二维平面制导问题进行了研究分析.在提出固定时间终端滑模面基础上,通过自适应算法在线估计干扰的上界值,针对带有攻击角约束和自动驾驶仪动态特性的制导系统模型设计了自适应终端滑模制导律,使得系统状态在有限时间内趋于零附近任意小的区域.利用李雅普诺夫理论...     

制导弹药方案弹道跟踪与控制

研究飞行制导优化问题,针对一种旋转制导炮弹,为了保证弹道跟踪的精确性.提出设计输出指令为加速度值的高性能非线性制导律,并采用过载控制方案设计了制导控制系统.选择弹道上的参考点,利用GPS得到的制导弹药飞行位置及速度信息,得出一种非线性过载制导信号控制飞行器跟踪曲线弹道.采用非线性过载制导指令作为制导外环,加速度自动驾驶仪作为控制内环,根据变结构控制理论设计了自动驾驶仪.对设计的制导控制系统进行了数字仿真.仿真结果表明,非线性制导律及加速度自动驾驶仪能够保证制导弹药准确地跟踪设计轨迹,使跟踪误差处于合理范围内.     

攻击大机动目标的变结构末制导律设计

研究优化末制导的性能问题,针对导弹动态系统的非线性关系,通过分析导弹和目标的相对运动系统状态方程的可观性,为了攻击大机动目标,提出修正极坐标系,根据非线性系统鲁棒控制理论和滑模变结构理论来设计导弹的末制导律,实现对目标机动加速度的界进行在线估计,同时保证系统稳定.把制导律应用于导弹系统并进行仿真,结果表明,导弹和目标的视线角速度趋于零,从而保证目标拦截成功.证明导弹制导算法对大机动目标有较强的鲁棒性,制导律应用于导弹攻击大机动目标是有效的.     

改进的考虑自动驾驶仪动态特性的有限时间滑模导引律

为减小导弹自动驾驶仪延迟特性对制导精度的影响,考虑到实际战争中制导末段时间很短,推导了考虑导弹动态特性的有限时间收敛的制导数学模型;其次根据滑模控制理论设计了基于该数学模型的导引律;证明了所设计的导引律在制导系统中有限时间稳定;为削弱滑模导引律的抖振现象,利用双曲正切函数改进了导引律。仿真表明:改进的导引律在目标做非机动和机动的情形下均能在有限时间内快速跟踪目标的运动,并保持较高的制导精度。     

考虑攻击角度和视场角约束的自适应终端滑模制导律

针对导弹拦截机动目标的末制导问题,基于有限时间滑模控制理论设计一种带有攻击角度和导弹视场角约束的制导律.首先,将导弹末制导问题转化为带有状态约束的制导系统稳定问题,设计一种新型的非奇异终端滑模面和时变的障碍Lyapunov函数,给出一种终端滑模制导律的设计方法,并针对目标机动的不确定性设计一种对目标机动上界的自适应估计;然后,通过稳定性理论证明制导系统的状态变量最终是有限时间收敛的,并且结合时变的障碍Lyapunov函数和滑模面的设计特性证明在末制导过程中视场角约束条件始终不会被违背,相比于现有的考虑视场角约束的制导律,该制导律不存在指令转换,能够加快制导系统收敛速率,增强制导系统的抗干扰能力;最后,通过仿真实验验证所提出制导方法的有效性.     

考虑导弹自动驾驶仪动态特性的带攻击角度约束制导律

针对打击机动目标时带攻击角度约束的制导问题,采用扩张状态观测器和动态面控制方法设计一种考虑自动驾驶仪动态特性的制导律.考虑期望视线角的变化率正比于未知的目标加速度,采用扩张状态观测器对未知目标加速度进行估计.为了避免奇异问题,并克服非匹配不确定项对系统性能的影响,采用非奇异终端滑模和动态面控制方法进行制导律设计.与传统的将目标加速度设为零的制导律相比较,仿真结果表明所提出的制导律具有良好的制导性能.     

弹道坐标中三维鲁棒非线性导引律

本文针对机动目标拦截问题,考虑导弹控制系统动态特性及其不确定性,利用分块反步设计思想,结合输入-状态稳定性理论,在弹道坐标系中设计了一种三维非线性鲁棒导引律.与大多数已有的导引律相比,本文直接地在弹道坐标系中设计导引律,并且所设计的导引律可有效克服控制系统动态特性和不确定性对制导效果的影响,理论分析和数值仿真表明,本文设计的导引律对目标机动和控制系统所受的外来有界扰动均具有较强的鲁棒性.     

基于H_∞滤波的低信噪比制导律研究

针对导弹对机动目标的拦截问题,本文设计一种基于目标机动上限的变结构制导律。考虑到导引头测量信号的低信噪比特性,测量信号不能直接应用于制导律,提出一种基于H∞滤波技术的制导信息重构方法。H∞滤波对噪声的不确定性具有鲁棒性,加入滤波不仅提高了制导精度,而且增强了系统的稳定性。最后对设计的制导律和滤波算法进行数值仿真,仿真结果验证了该方法的正确性。     

一种带时间协同和角度约束的多导弹三维协同制导律

针对多枚导弹在三维空间从不同初始位置同时拦截机动目标的问题,设计了一种带视线角约束的有限时间协同制导律.首先,给出三维空间的导弹–目标相对运动方程并建立了考虑视线角约束的多弹协同制导模型.其次,对视线纵向及法向方向分别设计了相应的协同制导律.其中在视线方向基于多智能体有限时间一致性理论设计了协同制导律,保证各拦截弹能够同时击中目标;基于一种新型的固定时间非奇异终端滑模控制方法设计了视线法向上的角度约束制导律,使各拦截弹的视线角能够在固定时间内收敛至期望值,实现空间上的协同;同时,构造了扩张状态观测器估计目标加速度.最后,对三枚导弹同时拦截同一机动目标的情况进行仿真对比,验证了本文所提出协同制导律的有效性.     

Robust partial integrated guidance and control approaches for maneuvering targets

A novel observer‐controller framework algorithm based on barrier Lyapunov function and second‐order sliding mode control is presented, which can drive the first‐ and second‐order states of the typical second‐order dynamics subject to unknowns and uncertainties simultaneously converge to zero in finite time. The obtained results are applied in the designs of two partial integrated guidance and control laws for an aerodynamic control interceptor against maneuvering targets: one is for zeroing line‐of‐sight angular rate and the other is for hit‐to‐kill. Owing to the inherent properties of different bandwidth and time delay between control commands and missile dynamics, partial guidance and control is separated with two loops. The outer loop achieves the target maneuvers and generates the control command, and the inner loop is used to track it. Moreover, to overcome the excessive differentiation problem of conventional backstepping design, two integral Lyapunov functions are introduced, which avoid the differentiation of the virtual control laws. Finally, detailed stability discussion and simulation results of the proposed partial guidance and control approaches demonstrate these properties.     

Acrobot动态伺服控制及其对称虚约束方法研究

研究了Acrobot这一垂直平面欠驱动机械臂的动态伺服控制问题. 该问题期望驱动Acrobot到达构形空间中任意目标位置. 由于Acrobot不能稳定在除平衡点外的位置, 因此考虑将系统镇定到经过目标点的周期轨道上. 利用虚约束来描述这样的轨道, 进而给出了在所选虚约束作用下系统的零动态和积分曲线. 接着设计了级联形式的控制器, 内环控制器基于改进的反馈线性化方法, 引入了一个使内环呈现二阶系统特性的虚拟输入, 在该虚拟输入的基础上, 设计了基于Lyapunov稳定性理论的外环控制器. 最后通过数字仿真证明所提出的方法合理有效, 并且获得比基于能量的动态伺服方法更优的结果.     

惯导解算误差的自动驾驶仪设计方法

空空导弹在应急发射时,主、子惯导未进行传递对准,会导致自动驾驶仪调参出现误差;针对这个问题,提出了一种参数空间方法与变结构控制相结合的控制方案;采用参数空间方法设计自动驾驶仪阻尼回路,实现对弹体的增稳作用;采用基于趋近律的积分型变结构控制设计自动驾驶仪过载回路,实现对过载指令的精确跟踪;对标称状态下设计的自动驾驶仪,在惯导解算误差条件下进行校核;仿真结果表明,该方法在自动驾驶仪出现调参误差的情况下,可以有效提高控制系统稳定性。     

基于准连续高阶滑模的可重复使用运载器再入姿态控制

针对可重复使用运载器再入段的姿态控制问题,提出一种基于准连续高阶滑模的控制方法。将姿态控制系统分为两个回路,分别为角度控制回路与角速度控制回路。角度回路作为外回路产生角速度指令,角速度回路作为内回路跟踪外回路产生的角速度控制指令。为了提高系统的鲁棒性,对两个回路分别设计滑模控制器。外回路中设计基于低通滤波的终端滑模控制方法,以获得平滑的控制量作为角速度指令。内回路设计增加系统相对阶的准连续高阶滑模方法,使控制律中不直接含有符号函数项,保证系统稳定的同时减弱控制器抖振。在具有外界干扰与参数不确定的情况下,使用本文提出的方法进行仿真试验,仿真结果证明了所提出方法的有效性。     

Integrated Game Based Guidance with Nonlinear Autopilot Design for Maneuvering Target Interception

The integrated game theory based guidance law with nonlinear autopilot (GGNA) system is presented in this paper. The guidance law is designed based on linear differential game theory while considering the motion of the target in 3‐D space such that the distance between the missile and the target is minimized faster than before. The autopilot system based on quaternion representation is developed using sliding mode control method to generate the attitude command. The stability of the integrated guidance and nonlinear autopilot system is analyzed with Lyapunov stability theory. In addition, this research assumes wingless missiles in our context in order to reduce the nonlinear effect from the aerodynamics. Furthermore, in order to extend the operation range of missiles from endo‐atmosphere to exo‐atmosphere, the missiles are equipped with Thrust Vector Control (TVC) mechanisms and Divert Control System (DCS). Finally, extensive simulations incorporating aerodynamic models are demonstrated to verify the validity of the proposed integrated guidance/autopilot systems. Moreover, the simulation results reveal that the mission of intercepting a maneuvering target is successfully accomplished.     

基于模糊滑模方法的双舵控制导弹制导控制一体化

针对单舵控制导弹舵角在大攻角下易饱和的问题, 提出一种适用于双舵控制导弹的制导控制一体化模糊滑模方法. 分析具有鸭舵/尾舵结构导弹动力学特性, 建立制导控制一体化模型, 利用双滑模变结构控制方法, 分别选取零控脱靶量和控制相关量作为滑动模态, 前者保证脱靶量趋于零, 后者提供阻尼响应, 将制导律嵌入在控制器的设计之中. 为了克服滑模抖振问题, 利用指数趋近率方法设计控制器, 并将模糊环节加入控制器中. 最后, 对拦截蛇形机动目标的过程进行仿真, 仿真结果验证了所提出方法的有效性.

     

Design of nonlinear terminal guidance/autopilot controller for missiles with pulse type input devices

This investigation addresses a nonlinear terminal guidance/autopilot controller with pulse‐type control inputs for intercepting a theater ballistic missile in the exoatmospheric region. Appropriate initial conditions on the terminal phase are assumed to apply after the end of the midcourse operation. Accordingly, the terminal controller seeks to minimize the distance between the commanded missile and the target missile to ensure a hit‐to‐kill interception. In particular, a 3D terminal guidance law is initially developed to eliminate the so‐called “sliding velocity, ” thus, constraining the relative motion between the missile and the target along the line of sight. Sliding mode control is adopted to design stable pulse‐type control systems. Then, a quaternion‐based attitude controller is used to orient appropriately the commanded missile, taking into account the fact that the missile is a rigid body, to realize interceptability. The stability of the overall integrated terminal guidance/autopilot system is then analyzed thoroughly, based on Lyapunov stability theory. Finally, extensive simulations are conducted to verify the validity and effectiveness of the integrated controller with the pulse type inputs developed herein. Copyright © 2010 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

Aiming point guidance law for air-to-air missiles

A new aiming point guidance (APG) law is presented which generates a missile turn rate command proportional to the heading error, that is defined as the angle between the current missile heading and predicted aiming point. The target under consideration is assumed to be manoeuvring with constant longitudinal and/or lateral accelerations, and the missile dynamics are modelled as an acceleration-limited first-order lag point mass. The aiming point is calculated based on current intercept geometry and target velocity and position. Time-to-go, a key factor for successful interception, is estimated by a time-to-go predictor. With the heading error defined as stated above, the guidance law can guide the missile into the collision course in the early stage of the engagement. As a consequence, the later part of the missile trajectory tends to be a straight line, provided that the target maintains its current status. The performance of the proposed APG is evaluated by simulation and is compared with the proportional navigation guidance (PNG) and Kim's prediction guidance (PRG) law (Kim 1985). Numerical simulations show that APG is superior to PNG and PRG in both intercept time and miss distance     

Design and Validation of an ${\mathcal{L}}_{1}$ Adaptive Controller for Mini-UAV Autopilot

The dynamics of Unmanned Aerial Vehicles (UAVs) is nonlinear and subject to external disturbances. The scope of this paper is the test of an \({\mathcal{L}_1}\) adaptive controller as autopilot inner loop controller candidate. The selected controller is based on piecewise constant adaptive laws and is applied to a mini-UAV. Navigation outer loop parameters are regulated via PID control. The main contribution of this paper is to demonstrate that the proposed control design can stabilize the nonlinear system, even if the controller parameters are selected starting from a decoupled linear model. The main advantages of this technique are: (1) the controller can be implemented for both linear and nonlinear systems without parameter adjustment or tuning procedure, (2) the controller is robust to unmodeled dynamics and parametric model uncertainties. The design scheme of a customized autopilot is illustrated and different configurations (in terms of mass, inertia and airspeed variations) are analyzed to validate the presented approach.     

基于滤波反步法的欠驱动AUV三维路径跟踪控制

研究了欠驱动自主水下航行器 (Autonomous underwater vehicle, AUV)的三维空间路径跟踪控制问题.针对基于虚拟向导建立的三维路径跟踪误差模型, 采用滤波反步法设计跟踪控制器,通过二阶滤波过程获得虚拟控制量的导数, 避免了直接对虚拟控制量解析求导的复杂过程, 同时滤除了高频测量噪声, 增加了系统对噪声的鲁棒性.通过设计滤波误差补偿回路, 保证了滤波信号对虚拟控制量的逼近精度.基于李雅普诺夫稳定性理论设计鲁棒项, 保证了闭环跟踪误差系统状态的渐近稳定.仿真结果表明了该控制器对噪声干扰具有一定的鲁棒性, 能够实现对三维路径的精确跟踪.