树形多体Hamilton系统的Lyapunov指数计算方法

研究了树形多体Hamilton系统Lyapunov指数的数值方法.利用多体Hamilton系统的正则方程和辛算法, 给出了多体Hamilton系统Lyapunov指数的计算方法,该算法具有较好的计算精度和通用性.利用该算法可对系统的运动稳定性进行分析.最后用算例说明了该算法的有效性.      

卫星编队队形保持非线性燃料次优控制

针对卫星编队飞行队形保持推导了一种利用相对轨道根数为反馈量的非线性燃料次优控制算法。该控制算法基于高斯型摄动方程采用Lyapunov控制,控制增益是时变的以便控制某轨道根数时对其余的轨道根数影响最小。这种控制算法接近于燃料最优,且可以调整增益系数来适应推力大小的不同情况。仿真结果表明,该控制方法是有效的,且相比其他的控制算法能够节省更多的燃料。     

神经元耦合系统同步条件的几点注记

研究了2个双向电突触耦合的完全相同的Hindmarsh-Rose神经元模型的完全同步问题.电突触耦合是神经元之间用于通讯的主要方式之一,它的最大功能是使神经元集群发生同步放电活动.以往对于耦合神经系统同步的研究,大多是利用数值方法,缺乏确凿的理论依据,对于多个神经元耦合的情形,也没有有效的方法.提出了2种判断完全同步的新方法——李雅普诺夫函数法和模式分解法,与传统的条件李雅普诺夫指数方法只能给出完全同步发生的必要条件相比,得到同步发生的充要条件和充分条件,并给出严格的理论证明.方法可应用到多个振子耦合和非对称耦合的系统中.计算机数值模拟对方法的有效性进行了验证.      

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.     

基于迭代滑模的机械臂控制策略

针对机械臂这类非线性的不确定性系统,基于迭代学习控制与滑模控制策略,提出了一种有效的迭代滑模控制方法。该控制方法通过将滑模控制律引入到迭代学习控制中,并运用Lyapunov理论对控制律进行证明,从而确保系统的稳定性。基于拉格朗日力学法建立动力学模型,得到相对简化的n关节机械臂模型。以一个二关节机械臂为例,通过MATLAB仿真验证所提控制策略可有效提高关节的跟踪速度与跟踪精度,并且在一定程度上可减缓传统滑模控制的抖振现象,与传统迭代学习控制相比,系统具有鲁棒性。物理试验验证了所提控制策略的有效性。     

Approach and landing guidance design for reusable launch vehicle using multiple sliding surfaces technique

An autonomous approach and landing (A&L) guidance law is presented in this paper for landing an unpowered reusable launch vehicle (RLV) at the designated runway touchdown.Considering the full nonlinear point-mass dynamics,a guidance scheme is developed in threedimensional space.In order to guarantee a successful A&L movement,the multiple sliding surfaces guidance (MSSG) technique is applied to derive the closed-loop guidance law,which stems from higher order sliding mode control theory and has advantage in the finite time reaching property.The global stability of the proposed guidance approach is proved by the Lyapunov-based method.The designed guidance law can generate new trajectories on-line without any specific requirement on off-line analysis except for the information on the boundary conditions of the A&L phase and instantaneous states of the RLV.Therefore,the designed guidance law is flexible enough to target different touchdown points on the runway and is capable of dealing with large initial condition errors resulted from the previous flight phase.Finally,simulation results show the effectiveness of the proposed guidance law in different scenarios.     

永磁直线同步电机滑模控制系统

设计了一种基于滑模变结构的永磁直线同步电机(PMLSM)矢量控制系统。从直线电机的基本工作原理出发,通过坐标变换,建立PMLSM在两相同步旋转正交坐标系上的数学模型。基于滑模变结构和李雅普诺夫稳定性理论设计转速调节器,组成PMLSM滑模控制系统。为了验证该控制系统的有效性,在MATLAB/Simulink平台下搭建系统的模型并进行仿真。仿真表明,该控制系统具有很强的鲁棒性。     

Chaotic Characteristic Analysis of Air Traffic System

Chaotic characteristics of traffic flow time series is analyzed to further investigate nonlinear characteristics of air traffic system. Phase space is reconstructed both by time delay which is built through mutual information, and by embedding dimension which is based on false nearest neighbors method. In order to analyze chaotic characteristics of time series, correlation dimensions and the largest Lyapunov exponents are calculated through Grassberger-Procaccia （G-P） algorithm and small-data method. Five-day radar data from the control center in Guangzhou area are analyzed and the results show that saturated correlation dimensions with self-similar structures exist in time series, and the largest Lyapunov exponents are all equal to zero and not sensitive to initial conditions. Air traffic system is affected hy multiple factors, containing inherent randomness, which lead to chaos. Only grasping chaotic characteristics can air traffic be predicted and controlled accurately.     

欠驱动系统控制方法实现导弹时间与角度协同

首先,给出弹目距离与视线角控制的二阶欠驱动系统的标准形式,选取这两个相关的系统状态分别构造滑模平面,滑模面能够保证系统状态的跟踪;然后,选取李雅普诺夫函数,采用李雅普诺夫稳定定理求取最终的控制量,保证两个滑模面渐近稳定,实现对撞击时间与撞击角度的同时控制;最后,在时间控制基本完成后,切换为角度精确控制。     

一类连续线性切换系统的H∞滤波

研究一类连续线性切换系统的H∞滤波问题.首先,利用共同Lyapunov函数方法,给出了切换系统H∞滤波器的存在条件;其次,利用线性矩阵不等式技术,将H∞滤波器的存在性问题转变成一组线性矩阵不等式(LMIs)的可行性问题,根据LMIs的可行解,给出H∞滤波器的设计方法,由该方法得到的滤波器保证滤波误差动态系统满足给定的H...