一种用于空间交会绕飞与逼近段的模糊控制律

研究了空间交会绕飞与最后逼近段的控制问题,设计出一种用于实现绕飞与逼近控制的模糊控制方案。在考虑测量误差的情况下,分别利用最小二乘与卡尔曼滤波方法对测量数据进行优化处理,并采用模糊控制方案实现绕飞与逼近段的仿真,仿真结果证实了模糊控制算法控制精度可以满足交会任务的需要,也验证了在具有测量误差条件下不同仿真方案所采用的模糊控制策略的有效性。     

无人机空中加油自主会合的制导与控制

针对无人机空中加油的自主会合问题,进行了相应制导律和非线性控制器的设计。通过改进的带角度约束的三维比例制导律实现对航向角的控制,以协调转弯的方式将航迹角指令转化为姿态角指令。基于无人机六自由度的动力学模型,针对无人机的姿态控制,采用时标分离的方法设计了慢子系统和快子系统,并对这两个子系统分别进行动态逆控制设计。同时,基于滑模控制的方法设计了满足自主会合要求的速度控制律。在保证无人机飞行稳定的基础上,实现了对控制和制导指令的精确跟踪。仿真结果表明,所设计的制导律和控制律能够实现无人机空中加油的自主会合,具有良好的动态特性。     

交会接近轨迹的闭环斜滑控制算法研究

为了矫正追踪航天器相对接近轨迹的偏离,实现交会轨迹的主动安全控制,在开环斜滑算法的基础上提出了闭环斜滑主动控制方法,包括轨迹控制的闭环斜滑算法和终端控制的闭环斜滑算法。利用某近距离交会接近问题,采用MonteCarlo（蒙特卡洛）打靶仿真,分析比较了开环斜滑算法和2种闭环斜滑算法。结果表明,闭环控制终端偏离明显小于开环情况,同时在较短时间内以较小的速度增量实现了终端状态控制,并且轨迹控制的闭环斜滑算法控制精度小于终端控制算法。     

Robust control for constant thrust rendezvous under thrust failure

A robust constant thrust rendezvous approach under thrust failure is proposed based on the relative motion dynamic model. Firstly, the design problem is cast into a convex optimization problem by introducing a Lyapunov function subject to linear matrix inequalities. Secondly, the robust controllers satisfying the requirements can be designed by solving this optimization problem.Then, a new algorithm of constant thrust fitting is proposed through the impulse compensation and the fuel consumption under the theoretical continuous thrust and the actual constant thrust is calculated and compared by using the method proposed in this paper. Finally, the proposed method having the advantage of saving fuel is proved and the actual constant thrust switch control laws are obtained through the isochronous interpolation method, meanwhile, an illustrative example is provided to show the effectiveness of the proposed control design method.     

DESIGNING REDUCED-ORDER CONTROLLERS OF MIXED SENSITIVITY PROBLEM FOR FLIGHT CONTROL SYSTEMS

Based on linear matrix inequalities (LMI), the design method of reduced-order controllers of mixed sensitivity problem is studied for flight control systems. It is shown that there exists a controller with order not greater than the difference between the generalized plant order and the number of independent control variables, if the mixed sensitivity problem is solvable for strict regular flight control plants. The proof is constructive, and an approach to design such a controller can be obtained in terms of a pair of feasible solution to the well-known 3 LMI. Finally, an example of mixed sensitivity problem for a flight control system is given to demonstrate practice of the approach.     

考虑潜在威胁区的航天器最优规避机动策略

随着一系列轨道转移飞行器的工程化实施,航天器可能面临的非合作交会威胁日趋严重。针对该问题,根据交会机动的特点定义了新的规避机动指标——潜在威胁区,相较于传统的相对距离和碰撞概率等规避指标,潜在威胁区更适合航天器在面对非合作交会追踪器时进行规避机动,能够有效提升航天器的抗交会能力。首先,建立追踪器多脉冲最优交会模型,以此为基础给出潜在威胁区的定义与计算方法;然后,以潜在威胁区弧长为优化目标,建立了目标器最优规避模型,采用遗传算法进行目标优化;最后,根据所建立的双层优化模型进行数值仿真,以初始相距100km为初始条件进行仿真并计算得到了使潜在威胁区为零所需规避脉冲值,验证了文中模型的正确性,结果显示所定义的潜在威胁区弧长随着规避脉冲的增大呈严格的单调递减关系。研究为在轨航天器在面对非合作交会时提供了有效的规避策略,提升了航天器的空间生存能力。     

Non-fragile switched control for morphing aircraft with asynchronous switching

This paper deals with the problem of non-fragile linear parameter-varying (LPV) H∞ control for morphing aircraft with asynchronous switching.The switched LPV model of morphing aircraft is established by Jacobian linearization approach according to the nonlinear model.The data missing is taken into account in the link from sensors to controllers and the link from controllers to actuators,which satisfies Bernoulli distribution.The non-fragile switched LPV controllers are con structed with consideration of the uncertainties of controllers and asynchronous switching phenomenon.The parameter-dependent Lyapunov functional method and mode-dependent average dwell time (MDADT) method are combined to guarantee the stability and prescribed performance of the system.The sufficient conditions on the solvability of the problem are derived in the form of linear matrix inequalities (LMI).In order to achieve higher efficiency of the designing process,an algo rithm is applied to divide the whole set into subsets automatically.Simulation results are provided to verify the effectiveness and superiority of the method in the paper.     

翻滚非合作目标逼近与跟踪的轨道和姿态控制

面向近距离逼近与捕获翻滚非合作目标的在轨服务空间清理任务需求,研究了航天器非合作式交会对接的轨道和姿态控制问题。在控制输入受限约束下,考虑存在参数不确定性和外部扰动的情况,结合滑模控制和自适应控制技术,分别进行鲁棒自适应位置和姿态控制器设计。利用自适应控制估计参数不确定性、未知干扰上界以及滑模控制反馈系数矩阵,提高了系统的鲁棒性。通过李雅普诺夫理论证明了系统在控制器作用下全局一致最终有界稳定。仿真结果验证了控制器的有效性,能够有效解决与高速旋转非合作目标的稳定相对位姿关系建立的难题。     

在轨服务航天器对目标的相对位置和姿态耦合控制

研究在轨服务航天器自主逼近与捕获目标航天器过程中的相对位置和姿态耦合动力学与控制问题.考虑控制输入耦合,建立服务航天器对目标航天器的相对位置和姿态一体化耦合动力学模型.基于此耦合动力学模型,考虑相对位置跟踪中的控制指令耦合和控制输出受限,利用反馈线性化理论,设计相对位置和姿态一体化耦合控制算法.并利用李雅普洛夫理论证明...     

Non-fragile switching tracking control for a flexible air-breathing hypersonic vehicle based on polytopic LPV model

This article proposes a linear parameter varying (LPV) switching tracking control scheme for a flexible air-breathing hypersonic vehicle (FAHV). First, a polytopic LPV model is constructed to represent the complex nonlinear longitudinal model of the FAHV by using Jacobian linearization and tensor-product (T-P) model transformation approach. Second, for less conservative controller design purpose, the flight envelope is divided into four sub-regions and a non-fragile LPV controller is designed for each parameter sub-region. These non-fragile LPV controllers are then switched in order to guarantee the closed-loop FAHV system to be asymptotically stable and satisfy a specified performance criterion. The desired non-fragile LPV switching controller is found by solving a convex constraint problem which can be efficiently solved using available linear matrix inequality (LMI) techniques, and robust stability analysis of the closed-loop FAHV system is verified based on multiple Lypapunov functions (MLFs). Finally, numerical simulations have demonstrated the effectiveness of the proposed approach.     

Target-enclosing affine formation control of two-layer networked spacecraft with collision avoidance

This paper addresses a target-enclosing problem for multiple spacecraft systems by proposing a two-layer affine formation control strategy. Compared with the existing methods, the adopted two-layer network structure in this paper is generally directed, which is suitable for practical space missions. Firstly, distributed finite-time sliding-mode estimators and formation controllers in both layers are designed separately to improve the flexibility of the formation control system. By introducing the properties of affine transformation into formation control protocol design, the controllers can be used to track different time-varying target formation patterns. Besides, multi-layer time-varying encirclements can be achieved with particular shapes to surround the moving target. In the sequel, by integrating adaptive neural networks and specialized artificial potential functions into backstepping controllers, the problems of uncertain Euler-Lagrange models, collision avoidance as well as formation reconfiguration are solved simultaneously. The stability of the proposed controllers is verified by the Lyapunov direct method. Finally, two simulation examples of triangle formation and more complex hexagon formation are presented to illustrate the feasibility of the theoretical results.     

单推力航天器交会对接轨迹规划及跟踪控制

针对单推力航天器交会对接问题,提出一种轨迹规划及跟踪算法。首先,考虑到追踪航天器只沿本体X轴安装推力器,且推力方向固定,为了实现从起始位置转移至期望位置并满足姿态要求,基于三维螺旋线设计两阶段转移轨迹,根据初末位置以及末端速度方向要求,求解螺旋线参数。该螺旋线可以保证在初末速度方向固定情况下,曲率积分最小。其次,为了降低轨迹跟踪难度并减小初始时刻的位置跟踪控制力,需要将转移轨迹初始速度与追踪星X轴重合。传统螺旋线无法满足该约束条件。本文对传统螺旋线进行改进,提出一种旋转螺旋线轨迹设计方法。通过引入姿态旋转矩阵,将螺旋线在三维空间旋转,在不改变曲线形状的前提下满足初末位置及速度方向要求。然后,为了跟踪转移轨迹以及跟踪期望推力方向,提出基于CLF（Control Lyapunov Function）的滑模控制策略,当追踪星X轴与期望推力方向夹角较大时,采用CLF,保证最优性;当姿态误差收敛至滑模面附近时,切换为滑模控制,以提升系统鲁棒性。最后,通过仿真验证旋转螺旋线相比于传统螺旋线的优势。     

航天器交会对接模拟系统逼近过程自抗扰控制

航天器交会对接地面模拟系统用于研究航天器交会对接过程的动力学、导航与控制等方面的相关问题。模拟器通过气浮轴承悬浮在大理石平台上来模拟太空的无摩擦微重力环境。通常情况下要保证大理石平台足够水平,由于实际平台不可能完全水平,模拟器的重力分量会使模拟器产生下滑现象,这种现象对大型地面模拟器设备尤为严重。针对模拟器的逼近过程设计了轨迹规划。为了减小测量信号噪声的影响,采用跟踪微分器(TD)对整个逼近过程中的测量信号进行滤波。针对逼近过程中模拟器存在下滑力等干扰问题设计控制器,通过扩张状态观测器(ESO)实时估计干扰量,进而对干扰量进行补偿。对模拟器冷喷气推力系统制定了推力器分配策略,采用脉冲宽度调制(PWM)技术实现对推力的近似等效。提出的控制方法应用于航天器交会对接地面模拟系统,实验结果表明所提出的控制方法能有效消除下滑力等干扰的影响。     

Orbital rendezvous using two-step sliding mode control

The problem of spacecraft rendezvous is studied, using sliding mode control in the presence of the earth's gravitational perturbation. The impulsive solution of Lambert's problem is obtained using the combined equations method to minimize total ΔV via an iterative method, and it is used as the desired trajectory for the rendezvous. In this paper, a two-step sliding mode control method is introduced for solving the rendezvous problem with finite-thrust including unmodeled dynamics.The thrust-coast-thrust type control laws for the system to follow the desired trajectories are represented and resultant trajectories are close enough to the Lambert's orbit with comparable amount of ΔV to the Lambert's impulsive solution. All state variables matched the final boundary conditions reasonably well at the end of maneuver.     

航天器椭圆轨道自主交会的自适应学习控制策略

 提出了一种在缺少绝对轨道信息时的航天器椭圆轨道自主交会方法。利用Lawden方程描述椭圆轨道下的两星相对运动关系,并将方程中的时变参数单独归类。在假设这些时变参数无法得到的情况下,采用Lyapunov方法设计了椭圆轨道下自主交会的参数估计规则和自适应学习控制律。仿真结果表明,在只有相对状态信息的情况下,估计参数有效地跟踪了真实参数的变化,所设计的控制律能够实现椭圆轨道下航天器的自主交会。     

交会对接寻的段水平双脉冲交会轨道精确求解

基于考虑摄动影响的精确轨道动力学模型,对交会对接寻的段水平双脉冲交会轨道的精确求解方法进行了研究。提出了将控制脉冲的俯仰角近似转化为控制时刻的轨道幅角,从而调整脉冲控制时刻以消除径向速度增量的方法,精确求解首末水平双脉冲的启控时刻;引入导引终点位置偏差的比例控制方法,精确求解水平双脉冲的精确控制量。仿真结果表明,2轮整体迭代可获得首末水平脉冲控制时刻和控制量的精确值,脉冲水平特性达到俯仰角小于1°,导引终点相对位置精度达到10m,验证了该方法的正确性。     

基于Lyapunov函数的不确定模糊控制系统设计

研究一类不确定T-S模糊系统的稳定性问题,考虑了平行与非平行分配补偿控制器的设计,并把线性矩阵不等式方法运用到了非平行分配补偿控制器中。基于Lyapunov函数把系统稳定的充分条件延伸到了不确定模糊控制系统。最后通过数值实例说明了本结论的有效性。     

Optimization of multiple-impulse minimum-time rendezvous with impulse constraints using a hybrid genetic algorithm

The minimum-time multiple-impulse rendezvous with impulse constraints is investigated in this paper. Based on the Clohessy–Wiltshire (C–W) equations, an optimization model including several different kinds of impulse constraints such as the maximum impulse magnitude, the total velocity change magnitude and the time of imposing impulse for multiple-impulse minimum-time rendezvous is established. A generalized inverse matrix solution for linear equation is applied to avoid handling the terminal equality constraints. In order to obtain the global solution efficiently, a hybrid optimizer combining the advantages of a floating-coded genetic algorithm and simplex method is employed. A low-earth orbit multiple-impulse rendezvous problem is used as an example. The influence of the number of impulses, the optimization variables and the constraints on the solution is analyzed, and the different optimization algorithms are compared. Results indicate our proposed model and approach is effective in designing linearized minimum-time rendezvous trajectory with impulse constraints.     

航天器相对运动估计的一种并行推广卡尔曼滤波方法

 从并行的观点出发，研究应用推广卡尔曼滤波估计航天器交会对接寻的期相对位置和速率问题。推导出交会推广卡尔曼滤波公式；提出了基于奇异值分解（ＳＶＤ）和Ｆａｄｄｅｖ算法的并行平方根算法；给出了其脉动阵列（Ｓｙｓｔｏｌｉｃ）实现结构；并对阵列所需的处理单元数目和执行一次迭代所需的时间步进行了分析，说明了其实现的优越性。为航天器相对运动估计提供了一种新的有效方法     

A novel biased proportional navigation guidance law for close approach phase

A novel biased proportional navigation guidance (BPNG) law is proposed for the close approach phase, which aims to make the spacecraft rendezvous with the target in specific relative range and direction. Firstly, in order to describe the special guidance requirements, the concept of zero effort miss vector is proposed and the dangerous area where there exists collision risk for safety consideration is defined. Secondly, the BPNG, which decouples the range control and direc-tion control, is designed in the line-of-sight (LOS) rotation coordinate system. The theoretical anal-ysis proves that BPNG meets guidance requirements quite well. Thirdly, for the consideration of fuel consumption, the optimal biased proportional navigation guidance (OBPNG) law is derived by solving the Schwartz inequality. Finally, simulation results show that BPNG is effective for the close approach with the ability of evading the dangerous area and OBPNG consumes less fuel compared with BPNG.