基于循环追踪控制的卫星编队构形调整控制律设计

卫星编队控制问题中，分布式控制优于主从式控制，在编队控制中应用日益广泛。提出了一种基于循环追踪算法的分布式控制策略，分析了该方法的优势。由于循环追踪算法存在编队中心由初始几何中心固定并与运动过程无关的弱点，引进了虚拟灯塔导引进行联合控制实现编队中心可变。建立了三维空间相对运动数学模型，设计非线性循环追踪算法与虚拟灯塔导引联合控制律，对全员联合控制与单星联合控制其余卫星采用非线性循环追踪控制两种方案的计算结果进行比较。结果表明，全员联合控制律的控制方案优于仅单星采用联合控制的方案，两种方案均可实现卫星编队按指定构形运动。     

考虑驾驶仪动态性能的指令滤波反演制导律

针对攻击机动目标的制导问题,设计了一种考虑自动驾驶仪性能、输入项约束的指令滤波反演制导律。首先,基于三维空间内弹目相对运动模型,采用反演递推方式设计制导律。针对传统反演控制存在的"微分膨胀"问题,引入指令滤波器对虚拟量进行过滤计算。考虑硬件计算能力的约束,引入自动驾驶仪二阶动力学模型减少控制过程延迟,并利用饱和函数和低通滤波器对输入项进行约束。此外,针对机动目标设计了一种扩张状态观测器来获取其加速度。通过Lyapunov理论证明了所设计闭环制导系统的稳定性。通过仿真实验验证了该制导律相有效性及优越性。     

Parameter design for a guidance and control system using genetic approach

A preliminary guidance and control design for guided missiles is developed via a genetic searching approach. A real-coded genetic algorithm (RGA) serves as the computing device to solve a constrained optimization problem resulting from the guidance and control parameter design where the genetic structure encodes some sort of automation. It is a global search algorithm thus avoids a local minimum. This new design paradigm offers a way to implement simple but robust solutions that cover a wide range of aerodynamic variations. Simulation results are performed to illustrate the engagement performance and applicability of this proposed design.     

STUDY OF OPTIMAL SLIDING-MODE GUIDANCE LAW

An optimal guidance law based on missile-target line-of-sight (LOS) angular rate is presented for intercepting a nonmaneuvering target. It is then integrated with sliding-mode control theory by using reaching-law of sliding-mode, in order to derive an optimal sliding-mode guidance law for intercepting a maneuvering target. The new guidance method's robustness against target maneuvers and good miss distance performance are proved by the second method of Lyapunov and simulation results. The presented guidance law is simple to implement in practical applications.     

近地小推力转移轨道的加权组合制导策略

 研究了近地小推力转移轨道的制导问题，给出了一种基于局部最优控制律的自主制导算法。推导出了各改进春分点根数对应的局部最优控制律；通过最优推力分配和目标偏差两个策略，对各局部最优控制律进行动态加权组合，从而有效减少了制导律的设计参数。在此基础上，针对燃料最省转移轨道，定义了一种新的发动机开关函数。采用遗传/逐次二次规划混合优化算法计算了最优制导参数。与传统算法相比，该制导算法是一种闭环制导算法，能够实现飞行器的自主制导，并且制导过程中无需对制导参数进行更新。以地球低轨到高轨的小推力转移为例，采用该方法分别求解了时间和燃料最省转移问题，并与传统算法进行了比较分析。数值结果验证了该算法的有效性。     

偏转弹头导弹动力学建模

偏转弹头控制是一种新型的导弹控制方式,精确动力学模型的建立对于导弹性能、稳定性和控制的分析是必不可少的。本文采用多体动力学建模方法中的凯恩(Kane)方法对偏转弹头导弹建立了动力学模型。首先建立合适的坐标系,选取8个变量的速率为广义速率,之后推导了弹身弹头的运动学方程,接着得到广义主动力和广义惯性力,其中将控制弹头偏转的作动力矩视为主动力矩而非理想约束考虑进广义主动力的计算中,最终得到导弹的8个标量动力学方程。推导过程显示凯恩方法比牛顿-欧拉方法推导过程更为简化。利用得到的精确动力学模型进行动态仿真,通过比较研究了采用弹头质心位于弹头偏转铰链中心假设下的简化模型对导弹动态响应的影响,结果显示,在弹头偏转较慢时简化模型会带来较大的动态响应误差。     

过虚拟交班点的能量最优制导律

针对固定目标的导弹过虚拟交班点制导问题，在希尔伯特空间下，基于最优化理论设计了有无终端落角约束两种情况下的全局能量最优制导律。通过对模型进行线性化，将提出的最优制导模型转化为线性二次型最优控制问题，在此基础上利用零控脱靶量（ZEM）概念对系统模型进行降阶，并推导出解析解。设计的制导律可以使导弹准确经过虚拟交班点，并实现期望终端落角。仿真结果表明，与经典制导律对比，该制导律可以显著减少全局控制能量消耗。     

具有二阶环节的导弹最优导引律

本文研究了具有二阶环节的导弹其对目标的最优导引律。利用极小值原理分别研究了1)脱靶量为零、最小控制能量指标的最优导引律;2)终态为零控拦截曲面、最小能量指标的最优导引律。最后得出了与具有一阶延迟环导弹所得结果类似,但计算工作量更大,结果应更准确。     

基于Fibonacci搜索方法的航空发动机性能寻优

介绍了Fibonacci搜索方法应用于发动机性能优化中的原理,建立带两个出口面积、气流马赫数可变的引射器的涡喷发动机的总体性能计算模型,应用Fibonacci搜索方法在优化参数区间内对该发动机进行了最大推力、最低油耗、最低涡轮前温度模式的寻优.举例说明了Fibonacci搜索方法应用的具体过程.给出了不同高度、马赫数下的寻优结果.结果表明:最优目标性能满足的约束边界与飞行高度、马赫数密切相关.不同的飞行高度、马赫数对应了不同的最优控制策略.但不论飞行任务如何,根据该方法进行的优化控制所获得的目标性能是最佳的.该优化方法不仅适用于该类涡喷发动机,也为其他类型航空发动机的优化控制打下一定的基础.      

Cooperative formation control of multiple aerial vehicles based on guidance route in a complex task environment

In recent years, formation control of multi-agent has been a significant research subject in the field of cooperative control. However, previous works have mainly concentrated on formation control for simple point-mass model and linear model. In contrast, this paper presents a novel cooperative algorithm for multiple air vehicles formation control, which aims to devise a control strategy based on guidance route to achieve precisely coordinated formation control for a group of fixed-wing aircraft in a complex task environment. The proposed method introduces the leader-follower structure for effective organization of the multi-agent coordination. Moreover, the Partial Integrated Formation and Control (PIFC) is adopted to design the control law for Guidance-Route based Formation Control (GRFC). Additionally, the proposed approach designs two guidance-route generation strategies for two special situations to demonstrate the effectiveness of GRFC in complex task environments. Theoretical analysis reveals that the proposed control protocol for guidance command can ensure the overall stability and tracking accuracy of the system. Numerical simulations are performed to illustrate the theoretical results, and verify that the proposed approach can achieve coordinated formation control precisely in a complex task environment.     

Distributed three-dimensional cooperative guidance via receding horizon control

The paper presents a new three-dimensional (3D) cooperative guidance approach by the receding horizon control (RHC) technique. The objective is to coordinate the impact time of a group of interceptor missiles against the stationary target. The framework of a distributed RHC scheme is developed, in which each interceptor missile is assigned its own finite-horizon optimal control problem (FHOCP) and only shares the information with its neighbors. The solution of the local FHOCP is obtained by the constrained particle swarm optimization (PSO) method that is integrated into the distributed RHC framework with enhanced equality and inequality con-straints. The numerical simulations show that the proposed guidance approach is feasible to imple-ment the cooperative engagement with satisfied accuracy of target capture. Finally, the computation efficiency of the distributed RHC scheme is discussed in consideration of the PSO parameters, con-trol update period and prediction horizon.     

一种利于交班的舰空导弹最优中制导律设计

针对舰空导弹超视距拦截低空飞行目标问题,在复合制导的中制导段,建立了导弹拦截目标的相对运动模型,依据制导平台无线电指令修正信息,考虑舰空导弹拦截低空目标时的飞行速度特性,给出了预测遭遇点的实时解算模型,并确定了利于中末制导交班的中制导终端约束条件。基于拦截预测遭遇点,引入伪控制量的概念,应用线性二次型最优控制理论,设计了一种基于拦截预测遭遇点的利于制导交班的最优中制导律,仿真结果验证了预测遭遇点实时解算模型和最优中制导律的正确性与有效性。     

多导弹编队齐射攻击分散化协同制导方法

针对多导弹编队齐射攻击在时间上的协同要求,将攻击时间可控制导律(ITCG)与一致性分散化协调算法相结合,提出一种多导弹编队齐射攻击的分散化协同制导方法.编队内各导弹采用相邻局部通信,编队之间则通过各编队通信拓扑生成树的根节点进行通信.设计了导弹编队内和编队间的分散化协调策略,实现多导弹编队齐射攻击的分散化协调.推导了攻...     

Evasion guidance algorithms for air-breathing hypersonic vehicles in three-player pursuit-evasion games

In practical combat scenario, the cooperative intercept strategies are often carefully designed, and it is challenging for the hypersonic vehicles to achieve successful evasion. Based on the analysis, it can be found that if several Successive Pursuers come from the Same Direction (SPSD) and flight with a proper spacing, the evasion difficulty may increase greatly. To address this problem, we focus on the evasion guidance strategy design for the Air-breathing Hypersonic Vehicles (AHVs) under the SPSD combat scenario. In order to avoid the induced influence on the scramjet, altitude and speed of the vehicle, the lateral maneuver and evasion are employed. To guarantee the remnant maneuver ability, the concept of specified miss distance is introduced and utilized to generate the guidance command for the AHV. In the framework of constrained optimal control, the analytical expression of the evasion command is derived, and the constraints of the overload can be ensured to be never violated. In fact, by analyzing the spacing of the pursers, it can be classified whether the cooperative pursuit is formed. For the coordination-unformed multiple pursers, the evasion can be achieved lightly by the proposed strategy. If the coordination is formed, the proposed method will generate a large reverse direction maneuver, and the successful evasion can be maintained as a result. The performance of the proposed algorithms is tested in numerical simulations.     

用参数最优化方法计算最优飞行轨迹

介绍了如何应用参数最优化方法将具有状态变量不等式约束和控制变量不等式约束以及终端等式约束的最优控制问题转化为静态非线性规划问题,并提出了将求解静态约束最优化问题的系贯加权因子法,即ＳＷＩＦＴ(ＳｅｑｕｅｎｔｉａｌＷｅｉｇｈｔ－ＩｎｃｒｅａｓｉｎｇＦａｃｔｏｒＴｅｃｈｎｉｑｕｅ)法推广为求解动态约束最优化问题的增广ＳＷＩＦＴ法。最后用计算美国航天飞机的返回最优轨迹说明了该法的可行性。     

Optimal terminal guidance for exoatmospheric interception

In this study, two optimal terminal guidance (OTG) laws, one of which takes into account the final velocity vector constraint, are developed for exoatmospheric interception using optimal control theory. In exoatmospheric interception, because the proposed guidance laws give full consideration to the effect of gravity, they consume much less fuel than the traditional guidance laws while requiring a light computational load. In the development of the guidance laws, a unified optimal guidance problem is put forward, where the final velocity vector constraint can be consid-ered or neglected by properly adjusting a parameter in the cost function. To make this problem ana-lytically solvable, a linear model is used to approximate the gravity difference, the difference of the gravitational accelerations of the target and interceptor. Additionally, an example is provided to show that some achievements of this study can be used to significantly improve the fuel efficiency of the pulsed guidance employed by the interceptor whose divert thrust level is fixed.     

一种基于轨道根数约束的最优制导方法

针对航天器空间变轨的制导问题,研究了一种基于轨道根数约束的最优制导方法。在地心惯性坐标系下直接建立航天器的最优控制模型,给出了位置速度表达式和协态变量初值之间的关系;进一步,在不约束真近点角的前提下,推导了5个轨道根数的约束方程,并通过对轨道根数和最优控制理论中协态方程的特性分析,获得了另外两个约束方程。协态变量初值可直接通过求解7个完整约束方程组获得,进而得到最优推力方向。仿真验证了所提制导方法的有效性。     

Multiple-constraint cooperative guidance based on two-stage sequential convex programming

An improved approach is presented in this paper to implement highly constrained cooperative guidance to attack a stationary target. The problem with time-varying Proportional Navigation (PN) gain is first formulated as a nonlinear optimal control problem, which is difficult to solve due to the existence of nonlinear kinematics and nonconvex constraints. After convexification treatments and discretization, the solution to the original problem can be approximately obtained by solving a sequence of Second-Order Cone Programming (SOCP) problems, which can be readily solved by state-of-the-art Interior-Point Methods (IPMs). To mitigate the sensibility of the algorithm on the user-provided initial profile, a Two-Stage Sequential Convex Programming (TSSCP) method is presented in detail. Furthermore, numerical simulations under different mission scenarios are conducted to show the superiority of the proposed method in solving the cooperative guidance problem. The research indicated that the TSSCP method is more tractable and reliable than the traditional methods and has great potential for real-time processing and on-board implementation.     

基于最优误差动力学的时间角度控制制导律

针对带有攻击时间和终端攻击角度约束的导弹制导问题,设计了一种基于最优误差动力学的时间角度控制制导律,并给出了明确的性能指标。推导广义最优角度控制制导律作用下的剩余飞行时间估算表达式,在广义最优角度控制制导律的基础上增加攻击时间误差反馈项,将攻击时间误差看做跟踪误差,设计的制导律使跟踪误差以最优模式在有限时间内收敛到零,最终实现攻击时间和终端攻击角度的共同控制。对不同参数下的情况进行仿真,验证了所提制导律的有效性。     

制导火箭弹起控时间对规划弹道的影响

以制导火箭弹飞行过程中能量损失最小为代价函数,利用高斯伪谱法构建最优控制模型,在弹箭中制导阶段寻找最优性能指标下的规划弹道,分析弹道规划起始时间对火箭弹末速的影响,得到各弹道诸元随不同起始规划时刻变化的曲线图。仿真结果表明:弹道规划起控时间对中制导阶段弹箭末速影响比较明显,最大可使其减少11%左右,与靶场初步试验结果相吻合。