考虑时延的多Euler-Lagrange系统自适应神经网络协调跟踪控制

考虑存在通讯时延,在有向通讯拓扑结构下研究多Euler-Lagrange系统的协调跟踪控制问题。仅有部分跟随者可以获得静态领航者信息。对每一个跟随者设计了一种分布式观测器,以获得领航者的状态量。针对系统模型具有非线性不确定性和外部扰动情况,基于神经网络方法提出了两种分布式自适应协调控制律,分别使每一个跟随者对领航者的跟踪误差最终有界和渐近收敛到零。运用Lyapunov稳定性理论对两种控制律的稳定性进行了证明。数值仿真验证了本文提出的控制律的有效性。     

基于联盟的无人机集群编队控制方法

针对切换拓扑结构下的集群编队控制问题,设计只需个别无人机获取虚拟长机信息也能保证集群连通性的编队控制算法。当队形变换或部分通讯网络故障导致网络拓扑结构发生改变时,以距离为原则对集群进行联盟划分,各联盟内部成员以信息浓度大小为标准同其他成员进行竞争,由信息浓度最大的无人机获取虚拟长机信息,其联盟成员通过与该无人机通讯间接获取虚拟长机信息。该算法使得每架无人机在任意时刻都能直接或间接地获取虚拟长机信息。引入集群对虚拟长机的反馈机制,与传统反馈算法不同的是,本文中反馈无人机的数量和组成成员都是变化的,从而提高了系统的收敛速度和鲁棒性。在此基础上进一步讨论编队的损伤问题,设计了一种基于分层的分布式递归自修复算法,解决了网络分裂状态下的自修复及修复后队形变化过大的问题。仿真结果表明了所建模型的合理性和求解方法的有效性。     

Observer-based event-triggered tracking control of leader-follower systems with time delay

This paper studies the tracking control of general linear multi-agent systems with or without time delays. The observer-based event-triggered control schemes will be considered. For the conventional distributed tracking protocol, the authors will not update the relative state in continuous time, i.e., the relative state will be updated by some events which happened in discrete time. A completely decentralized event-trigger will be designed for leader-follower systems. It is shown that all followers can track the leader asymptotically by the proposed protocol, if the feedback gain matrices are designed appropriately. Numerical simulations are also provided and the results show highly consistent with the theoretical results.     

A Mean-Field Linear-Quadratic Stochastic Stackelberg Differential Game with one Leader and Two Followers

This paper is concerned with a linear-quadratic(LQ) stochastic Stackelberg differential game with one leader and two followers, where the game system is governed by a mean-field stochastic differential equation(MF-SDE). By maximum principle and verification theorem, the open-loop Stackelberg solution is expressed as a feedback form of the state and its mean with the help of three systems of Riccati equations.     

离散异构多自主体系统时变输出编队跟踪控制

针对维数和参数都不同的离散异构多自主体系统,利用输出调节方法研究了系统的时变输出编队跟踪控制问题.假设多自主体系统由多个follower自主体和多个leader自主体组成,并且ollowe自主体不能得到leade自主体的状态信息,利用邻接信息针对每个ollowe自主体设计了分布式观测器.基于观测器的状态,利用状态反馈,...     

Data-Driven Leader-Follower Output Synchronization for Networked Non-Linear Multi-Agent Systems with Switching Topology and Time-Varying Delays

This paper studies the output synchronization problem for a class of networked non-linear multi-agent systems with switching topology and time-varying delays. To synchronize the outputs, a leader is introduced whose connectivity to the followers varies with time, and a novel data-driven consensus protocol based on model free adaptive control is proposed, where the reference input of each follower is designed to be the time-varying average of the neighboring agents’ outputs. Both the case when the leader is with a prescribed reference input and the case otherwise are considered. The proposed protocol allows for time-varying delays, switching topology, and does not use the agent structure or the dynamics information implicitly or explicitly. Sufficient conditions are derived to guarantee the closed-loop stability, and conditions for consensus convergence are obtained, where only a joint spanning tree is required. Numerical simulations and practical experiments are conducted to demonstrate the effectiveness of the proposed protocol.     

基于一致性算法的卫星编队姿轨耦合的协同控制

针对卫星编队一主多从结构的相对轨迹、姿态的协同控制问题,提出了一种基于Lyapunov方法的编队飞行协同控制策略。该控制策略将分布式控制思想引入卫星编队飞行的相对轨迹、姿态的动力学系统中,使各从星保持编队构型的同时沿期望轨迹相对主星绕飞。从理论上证明了系统的渐近稳定以及对外部干扰的抑制,并基于一致性算法理论定量地分析了通信拓扑结构为有向图情况下控制器参数的选择范围。此外,利用星星间的相对位置信息确定各从星的期望姿态和角速度,以确保对卫星编队进行姿态协同控制,达到跟踪同步的目的。最后将提出的算法应用于卫星三角形编队飞行的协同控制,仿真结果表明该方法的可行性与有效性,具有潜在的应用前景。     

基于虚拟长机的无人机侦察编队控制方法

针对使用多无人机编队对周边区域实施协同侦察任务的协同控制问题,提出了以虚拟长机为编队航迹引导的分布式编队控制方法。该方法基于编队通信拓扑的分布性,以“相邻”无人机为参考估计长机状态,然后设计无人机编队的分布式线性化反馈控制器。仿真实验表明,在无人机编队沿阿基米德螺旋线实施侦察的过程中,该控制器能够使多无人机形成期望队形,并维持其稳定,同时减小编队队形误差,实现对侦察航迹的高精度跟踪。     

Coordination Control for a Class of Multi-Agent Systems Under Asynchronous Switching

This paper studies the coordination control of nonlinear multi-agent systems under asynchronous switching, including consensus, tracking control, and containment. The asynchronous switching considered here means that the switching of the controller lags behind the mode's switching for each agent. So the matched controller is interrupted by the delayed switching. For the situation, the authors give some new results by applying the conventional distributed control protocol. The authors show that all agents can achieve consensus. Secondly, the authors show that all followers can track the actual leader. Thirdly, the authors show that all followers will converge to the convex hull spanned by the dynamic leaders as time goes on. Numerical simulations are also provided and the results show highly consistent with the theoretical results.     

资本市场中的头羊-从羊模型

针对目前中国证券市场中普遍存在着个人投资者对机构投资者的羊群行为这一特殊现象 ,建立了一个头羊 -从羊模型 .通过一定的参数假设和计算 ,定量地指出这种羊群行为增加了资产价格的波动 ,并且在大多数情况下头羊的收益大于从羊的收益 .但是随着头羊数量的增加和头羊收到的信息中的噪声增加 ,头羊 -从羊的收益之差减少 .最后从模型结论引申出稳定市场、改善市场结构、增加信息效率的建议.     

多寡头古诺竞争与斯塔尔博格竞争的对比研究

对以产量为竞争策略的多寡头古诺竞争与多寡头斯塔尔博格竞争进行对比研究.分析表明,当寡头数目在2与12之间时,古诺利润大于斯塔尔博格后动利润:此时寡头若采取积极的市场进入策略,即便不能获得斯塔尔博格先动优势,但其通过古诺竞争获得的利润依然大于斯塔尔博格后动利润;当寡头数目大于等于13时,古诺利润将小于斯塔尔博格后动利润:此时寡头如果采取积极的市场进入策略,一旦不能获得斯塔尔博格先动优势而导致古诺竞争时,其利润甚至小于作为斯塔尔博格跟随者的后动利润.     

Robust Semi-Global Leaderless Consensus and Containment Control of Identical Linear Systems with Imperfect Actuators

This paper investigates both the robust semi-global leaderless consensus problem and the robust semi-global containment control problem for a group of identical linear systems with imperfect actuators. The imperfect actuators are characterized by nonlinearities such as saturation and dead zone and there input output relationships are not precisely known. The dynamics of follower agents are also affected by the input additive disturbances. Low-and-high gain feedback consensus protocols are constructed to solve these problems. More specifically, it is shown that robust semi-global leaderless consensus can be achieved over a connected undirected graph and robust semi-global containment control can be achieved when each follower agent has access to the information of at least one leader agent. Numerical simulation illustrates the theoretical results.     

具有弱通讯的多智能体分布式自适应协同跟踪控制

针对具有弱通讯的高阶严反馈非线性多智能体系统,提出一种新颖的分布式自适应反演控制方法,并研究了该系统的协同跟踪控制问题。首先,以5个智能体作为被控对象,其中一个智能体以分布式结构组成“领航者-跟随者”编队模式,并且将领航者的运动速度作为整个编队系统的前行速度,其余智能体作为跟随者跟随领航者编队运动。其次,采用自适应反演方法,对系统中由于弱通讯导致的不确定参数进行自适应估计,并对系统设计补偿追踪控制律,使系统中的智能体能够实现自主跟踪时变的参考轨迹,最终以最优的轨迹避开障碍物,并保持期望队形运动。接着,根据Lyapunov稳定性理论,证明了所提方法的有效性。最后,通过仿真对比表明,所提方法能够使多智能体系统的横向、纵向跟踪误差以及参考轨迹的相对误差均实现快速收敛,并在跟踪过程中保持该系统渐近稳定。     

无人机三维编队保持的自适应抗扰控制器设计

针对无人机编队飞行过程中领航无人机在三维空间机动飞行时的编队队形保持问题,构建了无人机三维编队保持控制系统。根据无人机编队飞行三维空间几何学关系,利用无人机自动驾驶仪模型和编队运动学模型建立了旋转坐标系下三维编队飞行的数学模型。在考虑闭环系统存在时变外界干扰的情况下,设计了无人机编队保持的自适应控制器,并基于李亚普诺夫理论,对设计的自适应控制律的稳定性进行了证明。最后通过仿真验证,该控制器能够有效抑制干扰带来的影响,使僚机能够迅速跟随长机机动,并保持编队队形的稳定。     

供应链中制造商与代理商广告合作的博弈

供应链中为了做好产品的销售工作,往往要对产品进行有效的宣传,有一个对制造商与代理商都适宜的广告宣传计划。而在以往的文献中,研究的重点往往基于这样一种关系,制造商处于主导地位,代理商处于从属地位。随着市场的发展,制造商与代理商在广告宣传中的地位发生了变化,代理商可能已经等于甚至超越了制造商在广告宣传中所发挥的作用。本文运用博弈的方法,分别以制造商和代理商为主进行分析,得出不同情况下的最优广告策略。     

基于一个博弈论方法的简单供应链合作广告模型

在合作广告文献中,重点研究一个制造商是领导者而零售商是追随者之间的关系.最近对市场结构的考察已显示出零售势力从制造商向零售商的转移.由于这种新市场现象的出现,文章意欲考察一个制造商和一个零售商在品牌投资、地方广告支出和广告费用共享规则上进行交易时纵向合作广告的效率.本文的探讨基于两个非合作性博弈模型.     

Fixed-Time Leader-Following Formation Control of Fully-Actuated Underwater Vehicles Without Velocity Measurements

This paper is concerned with formation control of fully-actuated underwater vehicles (FUVs), focusing on improving system convergence speed and overcoming velocity measurement limitation. By employing the fixed-time control theory and command filtering technique, a full state feedback formation algorithm is proposed, which makes the follower track the leader in a given time with all signals in the system globally practically stabilized in fixed time. To avoid degraded control performance due to inaccurate velocity measurement, a fixed-time convergent observer is designed to estimate the velocity of FUVs. Then the authors give an observer-based fixed-time control method, with which acceptable formation performance can be achieved in fixed time without velocity measurement. The effectiveness and performance of the proposed method are demonstrated by numerical simulations.

     

基于距离测量的双领航AUV间协同导航算法

针对多自主水下航行器(AUV)编队中因领航AUV一时无法借助外部有源位置信息进行实时校准,自身定位误差逐渐增大可能导致的编队解体问题,提出了一种基于距离测量双领航AUV间协同导航算法.在给出领航AUV航位推算误差模型的基础上,首先设计两个领航AUV分别基于忽略对方位置误差的估计自身误差的滤波算法,然后提出其位置误差的分别修正算法,最后通过对位置误差估计的可观测性分析,指出在直线航行条件下两个领航AUV可通过加、减速进行相对机动,保证其可观测性.仿真结果表明:两个领航AUV存在航位推算位置误差的情况下,随着滤波时间增加其定位误差可逐渐趋同,并收敛到其经、纬度定位误差的均值,验证了本文所提协同导航算法的可行性和有效性.     

基于大气数据传感器的协同制导控制方法

为研究多弹协同攻击的低成本实现问题,提出一种基于大气数据传感器的捷联导弹协同制导控制方法。首先,对协同制导控制中的状态反馈信息进行分析。然后,研究使用攻角传感器和皮托管代替陀螺仪提供制导控制所需的角度反馈信息的可行性,结合协同制导算法与自动驾驶仪设计方法研究基于大气数据传感器的协同制导控制方法。最后,对该方法进行初步的数值仿真验证。理论分析和仿真结果表明,基于大气数据传感器的捷联导弹协同制导控制具有理论可行性。     

基于大气数据传感器的协同制导控制方法

为研究多弹协同攻击的低成本实现问题,提出一种基于大气数据传感器的捷联导弹协同制导控制方法。首先,对协同制导控制中的状态反馈信息进行分析。然后,研究使用攻角传感器和皮托管代替陀螺仪提供制导控制所需的角度反馈信息的可行性,结合协同制导算法与自动驾驶仪设计方法研究基于大气数据传感器的协同制导控制方法。最后,对该方法进行初步的数值仿真验证。理论分析和仿真结果表明,基于大气数据传感器的捷联导弹协同制导控制具有理论可行性。