广义离散随机线性系统的最优调节器

讨论广义离散随机线性系统在二次型性能指标下的最优控制问题。导出的最优控制律由系统输出和部分状态的线性反馈构成,这不仅降低了滤波的黎卡提方程的阶次,显著地减少了计算量,而且在工程中也是可实现的。     

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     

飞行器控制系统的高精度计算方法

对于连续时间线性二次最优控制问题，在动力学方程和价值泛函的基础上，给出其全状态下的微分方程，进而将精细时程积分法引入上述问题，其优点为，放弃了传统的差分算法，使计算过程既简便又稳定；避免了Ｒｉｃｃａｔｉ代数方程的求解；具有非常高的计算精度。通过对某飞行器控制系统的计算，充分说明了上述特色。     

On the Optimization of MTI Clutter Rejection

In this paper is formulated the problem of optimization of the improvement factor of a nonrecursive MTI by minimization of a quadratic form. The minimum normalized clutter output (a reciprocal of the average improvement factor) is the minimum eigenvalue of this quadratic form, and the corresponding eigenvector is the optimal weight to be used in this filter. By use of classic matrix theory, some properties of this MTI improvement factor are shown, namely, that it is bounded and is a monotonic function of the clutter spectrum variance. Also discussed is the limit of an MTI system having a large number of cancellers. Finally, the problem of a staggered-PRF MTI filter is examined, for which it is shown that its improvement factor is bounded by two equivalent constant-PRF MTI systems. One of these systems has a PRF equal to the lowest PRF of the staggered-PRF system, while the other has a PRF equal to the highest PRF of the staggered system.     

Optimal guidance against active defense ballistic missiles via differential game strategies

The optimal guidance problem for an interceptor against a ballistic missile with active defense is investigated in this paper. A class of optimal guidance schemes are proposed based on linear quadratic differential game method and numerical solution of Riccati differential equation. By choosing proper parameters, the proposed guidance schemes are able to drive the interceptor to the target and away from the defender simultaneously. Additionally, fuel cost, control saturation, chattering phenomenon and parameters selection were taken into account. Satisfaction of the proposed guidance schemes of the saddle point condition is proven theoretically. Finally, nonlinear numerical examples are included to demonstrate the effectiveness and performance of the developed guidance approaches. Comparison of control performance between different guidance schemes are presented and analysis.     

余度传感器系统中传感器配置结构和奇偶向量的最优化

 本文研究了余度传感器系统传感器的配置和奇偶向量的选择问题,从输出和检测性能最优的准则出发,给出了配置结构和奇偶向量的求解途径,并将它同现有的一些方法进行了比较。     

凸约束非凸二次规划问题的分枝定界方法

针对凸约束非凸二次规划问题,给出了一个分枝定界方法。首先,我们构造一个多胞体包含可行域,然后根据凸集上非凸二次规划问题的整体最优解在可行域边界达到的性质,对锥所包含的可行域的边界构造一个包含它的超矩形体,并对这个超矩形体构造一个外接球。我们通过求解球约束非凸二次规划问题的整体最优解来确定下界,并把锥的棱与可行域的边界交点的目标函数值的最小值作为上界,把锥剖分技术与外逼近方法结合起来寻找原问题的整体最优解。最后,我们对这个方法进行收敛性分析。     

Terminal Guidance for Impact Attitude Angle Constrained Flight Trajectories

The design of a suboptimal terminal guidance system for reentry vehicles with a constraint on the body attitude angle at impact is studied. Permissible range of the miss distance and the body attitude angle at impact is specified. The problem is formulated as a linear quadratic control problem. The Riccati equation is derived to provide time-varying feedback gains. The desired scheme is suboptimal. The region of initial states for which the system meets the specifications becomes smaller as the initial height of the reentry vehicle at initial time is decreased.     

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...     

多操纵面优化控制分配新方法

针对直接分配算法不具备优化能力的问题,提出了一种基于可达集的多操纵面控制量优化分配的新方法.简要描述了飞行控制中多操纵面的受限控制分配问题,以实际和期望的伪指令偏差最小为优化目标,将二次规划问题转化成空间中多维向量的简单运算,避免了二次规划在整个可达集中进行的复杂搜索.以某型飞机为仿真模型,对新方法与直接分配算法进行了对比仿真验证.仿真结果表明,该方法能使舵面在期望指令所指向的可达边界子集中得到最优的分配,且计算量小,实时性较好.     

Power Inversion Array in a Rotating Source Environment

The steady state performance of the Frost power inversion array is evaluated, assuming constant rotational velocity of the external noise environment in the sin ? domain. The weight vector is solved implicitly in terms of a linear matrix equation. Approximate criteria are derived for weight vector and output power deviation from optimal values, which are then applied to determine the maximum scan rate of a radar sidelobe canceler.     

Time delay estimation at high signal-to-noise ratio

The estimation of the delay between two signals is examined in the limit of high signal-to-noise ratio (SNR). It is shown that for the case of white noise, cross correlation with no prefiltering approaches the optimal maximum-likelihood (ML) estimator as the SNR grows to infinity. In simulation experiments with SNRs greater than 1, it outperforms the approximate ML estimator, which is based on estimated spectra. Other algorithms, such as generalized cross correlation or parameter estimation algorithms, are shown to be suboptimal at high SNRs     

Optimal guidance of extended trajectory shaping

To control missile＇s miss distance as well as terminal impact angle, by involving the timeto-go-nth power in the cost function, an extended optimal guidance law against a constant maneuvering target or a stationary target is proposed using the linear quadratic optimal control theory.An extended trajectory shaping guidance（ETSG） law is then proposed under the assumption that the missile-target relative velocity is constant and the line of sight angle is small. For a lag-free ETSG system, closed-form solutions for the missile＇s acceleration command are derived by the method of Schwartz inequality and linear simulations are performed to verify the closed-form results. Normalized adjoint systems for miss distance and terminal impact angle error are presented independently for stationary targets and constant maneuvering targets, respectively. Detailed discussions about the terminal misses and impact angle errors induced by terminal impact angle constraint, initial heading error, seeker zero position errors and target maneuvering, are performed.     

一类非线性系统的输出反馈渐进输出追踪控制

研究一类非线性系统的输出反馈输出追踪控制问题。利用高增益观测器和反传设计方法,在非线性系统满足Lipschitz条件下,对任意给定的常数参考信号,设计了动态输出反馈控制器,使得闭环系统的输出指数渐进追踪参考信号。     

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。     

基于事件触发的异构多智能体最优包含控制

针对异构多智能体系统的输出包含控制问题，提出一种基于边的事件触发最优控制协议，保证所有跟随者的输出能进入到由领航者的输出所形成的凸包中。同时，使系统达到最优性能，最小化控制代价。考虑到不是所有的跟随者都可获得领航者的信息，提出一种基于边的分布式事件触发观测器，估计领航者输出形成的凸包内点的轨迹。设计加权代价函数评价包含控制的性能，并将输出包含问题转化为最优状态反馈控制设计问题。利用贝尔曼方程和黎卡提方程，给出异构多智能体系统最优输出包含控制的参数设计。选择不同类型的机器人构成多智能体系统，验证算法的有效性。     

An Approach to Optimization of Terminal Rendezvous

The optimal solution is presented to a cooperative game which is described by a common quadratic cost functional subject to linear ordinary differential equation constraints. The optimal feedback controller is constructed for both players when all components of the state vector can be measured. For the case that only some components of the state vector are available, the optimal feedback controller is designed using a dynamic observer. As a specific application, the approach is used in determining the optimal feedback controllers for two satellites which are performing a rendezvous on a circular orbit. Simulation results are presented to illustrate the applicability of the approach.     

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。     

航天器有限时间输出反馈姿态控制

研究在角速度不可测时航天器的有限时间姿态控制问题。基于有限时间控制技术,提出了由修正Rodrigues参数进行姿态描述的航天器输出反馈姿态控制算法。首先设计了单个航天器的输出反馈姿态控制器,在没有角速度反馈时也能够保证航天器姿态在有限时间内调节到期望姿态。之后,设计了无需绝对角速度和相对角速度信息的多航天器分布式输出反馈姿态控制器。使用Lyapunov理论和图论,对闭环系统全局有限时间稳定性进行了严格的证明。最后对提出的控制算法进行了数值仿真,其结果验证了所设计的航天器输出反馈控制算法的可行性和有效性。     

一种改进的转子系统临界转速调整方法

针对转子系统的临界转速最优化调整问题,在详细分析已有方法的基础上,提出一种改进的优化调整方法,以调整量最小为目标函数,达到预先给定的临界转速为约束条件,推导了优化调整模型,无需进行修正处理,简化了优化流程.对某转子系统进行最优化调整的计算结果表明,该方法不仅可得到满足要求的最优解,而且能有效的减少计算耗时.