有向切换拓扑下非线性多智能体系统的一致性控制

本文研究有向切换拓扑条件下无领导者的Lur'e型非线性多智能体系统的动态一致性问题。设计了基于协同邻居输出信息的观测器类型的动态一致性算法,可以保证在邻居状态信息未知情况下系统达到一致。利用Laplacian矩阵的特殊性质以及Laplacian矩阵的降维变型形式,提出了一种新的拓扑依赖的多重Lyapunov函数构建方法,进而将切换拓扑下的一致性问题转换为低维切换系统的稳定性问题。该方法放宽了对拓扑条件的约束,实现了网络拓扑依赖矩阵和系统动态依赖矩阵的独立设计。再利用多重Lyapunov函数法结合线性矩阵不等式方法对系统进行稳定性分析,给出动态一致性控制器的反馈矩阵的求解方法,得到了平均驻留时间条件。结果表明,提出的方法可使得Lur'e型非线性多智能体系统达成一致,只要满足每个候选拓扑中都包含有向生成树且切换拓扑的平均驻留时间大于一个指定的阈值。     

联合连通拓扑下多无人机编队控制

针对在联合连通拓扑条件下的多无人机系统,研究了具有二阶动力学系统模型的多无人机系统时变编队控制问题。基于一致性理论,设计了一致性控制器,将联合连通拓扑条件下的编队控制问题简化为低阶时间平均系统的渐进稳定性问题。利用Lyapunov函数证明了所设计的控制器能够实现编队控制,并利用线性矩阵不等式(LMI)方法给出了控制器的设计算法。在三维空间中,对多无人机系统进行了仿真,验证了所设计的一致性控制器能够使得多无人机系统在联合连通拓扑条件下形成时变编队。     

具有动态领导者的多智能体系统分组一致性控制

对一类具有动态领导者的非线性多智能体系统的一致性进行研究,解决了领导-跟随一致性控制问题。首先,考虑到多目标任务中广泛存在的合作-竞争机制和领导者的控制输入非零的情况,基于邻居智能体的相对状态信息,设计了一类分布式的分组一致性控制器。通过在所设计的控制器中增加补偿项,解决了由领导者非零控制输入引出的问题。引入了一类Lipschitz-like条件,解决了非线性项在实现分组一致时所带来的困难。其次,利用图论和构造Lyapunov函数,通过求解代数Riccati方程得出了系统实现分组一致性的充分条件,并基于所设计的控制器实现了多智能体系统动态领导-跟随的分组一致性控制。最后,通过数值仿真和结果分析验证了所提出控制方案的有效性和可行性。     

基于动态势场法的最优一致性避障算法研究

利用最优控制思想,结合图论相关知识,针对多智能体系统的避障问题和协同控制问题,提出最优一致性避障算法。该算法通过设计一致性性能指标、控制输入性能指标和避障性能指标,用以保证系统性能达到全局最优。为了有效克服传统人工势场法在避障过程中容易陷入局部极值,以及在靠近障碍物时发生振荡现象等缺陷,提出了一种动态势场法。为保证系统的稳定性,利用避障势能函数构建非二次型李雅普诺夫函数,并证明了系统的稳定性。仿真结果验证了最优一致性避障算法的有效性。     

一种多智能体协同信息一致性算法

以无人机(UAVs)/导弹集群为代表的多智能体协同作战在未来战场中占有重要地位。协同信息的共享和一致性是多智能体系统完成协同、编队、集结、同步等协同任务的关键基础和前提。首先,基于邻居系统和团势能建立了信息一致性模型,将多智能体的协同信息的偏差映射为团势能。然后,通过以并行能量最小化求解马尔可夫随机场最大后验概率的方法实现了分布式无中心条件下的协同信息一致性。与传统的一致性算法相比,所提出的算法引入了虚拟基准的概念。当无外部基准输入时,基于平均场方法,通过邻居之间的协同信息交互建立虚拟基准;当存在领航节点或虚拟领航节点时,将领航节点协同信息的状态及状态导数作为虚拟基准。仿真结果表明:所得出的算法具有对网络规模不敏感、快速收敛、高鲁棒性的优点;对有/无基准输入的情况可采用相同的算法,体现了算法具有较好的适应性。     

异构多智能体系统分组输出时变编队跟踪控制

空地协同控制是前沿的热点研究之一,以无人机、无人车为代表的空地智能体动力学模型的差异为研究带来了挑战。研究了高阶异构多智能体系统在有向拓扑条件下的分组输出时变编队跟踪控制问题,提出了虚拟领导者、分组领导者以及跟随者组成的三层协同控制架构。虚拟领导者用于规划整个多智能体系统的状态轨迹,分组领导者跟踪虚拟领导者所提供的轨迹信息,并相互协作以实现分组间的协同配合。跟随者跟踪分组领导者的输出并实现期望的输出编队。在有向通信拓扑结构条件下,基于局部邻居间的相对信息、观测器理论和滑模控制理论构造了控制协议,利用Lyapunov稳定性理论证明协议的有效性。数值仿真结果表明提出的方法能够实现无人机、无人车等异构智能体的空地协同,具有较好的工程应用价值。     

执行器饱和的多智能体一致性控制

针对执行器饱和约束下的一类离散多智能体系统，设计了一种基于线性矩阵不等式的一致性控制律，并对线性矩阵不等式解的存在性进行了分析。由于饱和环节的影响，导致多智能体系统的一致性与个体的初始状态有关，不同的控制律所能允许的个体之间的初始偏差的范围不同。为了定量分析控制律所对应的初始偏差范围，引入吸引域的概念对所设计的控制律进行评估，并对控制律参数进行优化以扩大吸引域的范围。最后，通过数值仿真说明了所设计控制律的有效性。     

执行器饱和的多智能体一致性控制

针对执行器饱和约束下的一类离散多智能体系统,设计了一种基于线性矩阵不等式的一致性控制律,并对线性矩阵不等式解的存在性进行了分析。由于饱和环节的影响,导致多智能体系统的一致性与个体的初始状态有关,不同的控制律所能允许的个体之间的初始偏差的范围不同。为了定量分析控制律所对应的初始偏差范围,引入吸引域的概念对所设计的控制律进行评估,并对控制律参数进行优化以扩大吸引域的范围。最后,通过数值仿真说明了所设计控制律的有效性。     

导弹气动伺服弹性稳定性分析

分析了带有舵面及控制系统的战术导弹的气动伺服弹性稳定性。动力学方程中包含弹体的一阶弯曲振动、弹体的刚体平动和转动 ,可控舵面只考虑刚体偏转。用细长体理论和气动导数方法计算了导弹的非定常气动力 ,两种方法均适用于亚音速和超音速情况。采用 Nyquist方法和 Bode图方法分析了某导弹的气动伺服弹性稳定性和稳定裕度 ,两种气动力方法所得结果一致。     

遥测系统中喷泉码的低延时改进算法

针对喷泉码应用于遥测系统时存在较大系统延时的问题,在对其延时特性进行分析的基础上,提出了一种改进的编译码算法.当编码器接收到部分数据符号时,按照预先制定的度选取策略和符号选取策略,选择当前编码符号的度和生成该编码符号的数据符号进行编码.该算法以减小编码延时为目标,通过分析编码符号发送速率的稳定性和可容忍的最长信号闪断时间可确定合理的编码延时.仿真得到了不同丢符号率下的编码延时、系统延时和所需的编码冗余,结果表明,与传统方案相比,改进方案的编码延时减小了一半以上.通过理论分析和仿真验证,得出了改进算法可明显减小基于喷泉码的遥测系统延时的结论.     

Semi-global leader-following consensus-based formation flight of unmanned aerial vehicles

In this paper, we investigate a formation control problem of multi-agent systems(specifically a group of unmanned aerial vehicles) based on a semi-global leader-following consensus approach with both the leader and the followers subject to input saturation. Utilizing the low gain feedback design technique, a distributed static control protocol and a distributed adaptive control protocol are constructed. The former solves the problem under an assumption that the communication network is undirecte...     

Distributed event-triggered adaptive control for second-order nonlinear uncertain multi-agent systems

In this paper, the event-triggered consensus control problem for nonlinear uncertain multi-agent systems subject to unknown parameters and external disturbances is considered. The dynamics of subsystems are second-order with similar structures, and the nodes are connected by undirected graphs. The event-triggered mechanisms are not only utilized in the transmission of information from the controllers to the actuators, and from the sensors to the controllers within each agent, but also in the communication between agents. Based on the adaptive backstepping method, extra estimators are introduced to handle the unknown parameters, and the measurement errors that occur during the event-triggered communication are well handled by designing compensating terms for the control signals. The presented distributed event-triggered adaptive control laws can guarantee the boundness of the consensus tracking errors and the Zeno behavior is avoided. Meanwhile, the update frequency of the controllers and the load of communication burden are vastly reduced. The obtained control protocol is further applied to a multi-input multi-output second-order nonlinear multi-agent system, and the simulation results show the effectiveness and advantages of our proposed method.     

Formation tracking control for time-delayed multi-agent systems with second-order dynamics

In this paper, formation tracking control problems for second-order multi-agent systems (MASs) with time-varying delays are studied, specifically those where the position and velocity of followers are designed to form a time-varying formation while tracking those of the leader. A neigh-boring relative state information based formation tracking protocol with an unknown gain matrix and time-varying delays is presented. The formation tracking problems are then transformed into asymptotically stable problems. Based on the Lyapunov-Krasovskii functional approach, condi-tions sufficient for second-order MASs with time-varying delays to realize formation tracking are examined. An approach to obtain the unknown gain matrix is given and, since neighboring relative velocity information is difficult to measure in practical applications, a formation tracking protocol with time-varying delays using only neighboring relative position information is introduced. The proposed results can be used on target enclosing problems for MASs with second-order dynamics and time-varying delays. An application for target enclosing by multiple unmanned aerial vehicles (UAVs) is given to demonstrate the feasibility of theoretical results.     

Consensus disturbance rejection control of directed multi-agent networks with extended state observer

This paper investigates the consensus disturbance rejection problem among multiple high-order agents with directed graphs.Based on disturbance observers,distributed consensus disturbance rejection protocols are constructed in leaderless and leader-follower consensus setups.Different from the previous related papers,the consensus protocols in this paper are developed in a fully distributed fashion,relying on only the state information of each agent and its neighbors.Sufficient conditions are prov...     

不确定性因素下航班延误波及建模与分析

针对机场终端区日益严重的航班延误,提出了一种基于有色－时间Petri网的不确定性因素下航班延误波及分析模型。模型综合考虑航班运行尾流、跑道运行模式、跑道占用时间等运行安全间隔约束,同时根据连续航班间的信息更新,设计进离场航班序列动态调整流程,并由计算模型可得出航班延误总架次及时间。最后,依据历史延误数据分析得出不确定性因素延误的概率分布。选取上海浦东机场为背景对模型进行仿真验证,仿真结果表明,所构建模型可用于战略阶段的航班延误波及程度与过程的评估。     

分布式控制系统稳定性分析及控制器设计

针对存在总线通信时延和掉包的航空发动机分布式控制系统,分别进行了时延和掉包情况下的系统建模和稳定性分析;利用增广离散化方法将时延系统转化为增广无时延模型,利用迭代方法将数据掉包建模为一定掉包界内的切换系统;分别提出时延和掉包条件下系统的稳定性条件,并通过求解线性矩阵不等式确定系统输出反馈控制增益;最后比较了基于保持输入和重构增益的2种掉包补偿措施。研究结果表明:采用基于时延的反馈控制增益设计和重构增益掉包补偿措施,可以保证分布式发动机控制系统的稳定性并获得最佳性能。     

H∞ output tracking control for flight control systems with time-varying delay

For flight control systems with time-varying delay, an H∞ output tracking controller is proposed. The controller is designed for the discrete-time state-space model of general aircraft to reduce the effects of uncertainties of the mathematical model, external disturbances, and bounded time-varying delay. It is assumed that the feedback-control loop is closed by the communication network, and the network-based control architecture induces time-delays in the feedback information. Suppose that the time delay has both an upper bound and a lower bound. By using the Lyapu- nov-Krasovskii function and the linear matrix inequality （LMI）, the delay-dependent stability criterion is derived for the time-delay system. Based on the criterion, a state-feedback H∞ output tracking controller for systems with norm-bounded uncertainties and time-varying delay is presented. The control scheme is applied to the high incidence research model （HIRM）, which shows the effectiveness of the proposed approach.