离散异构线性多智能体系统的输出一致性

研究了离散异构线性多智能体系统的输出一致性问题。考虑到实际系统中部分跟随智能体不能准确获知领航智能体的动态,所以采用观测器方法研究系统的输出一致性问题。首先为每个跟随智能体构造观测器,用以估计领航者的状态;其次设计分布式控制器,提出系统实现输出一致性所应满足的充分条件,并运用Lyapunov稳定性理论、矩阵论、图论知识加以证明;最后运用MATLAB软件的SIMULINK工具箱进行数值仿真,仿真结果显示文中方法与结论是有效的。     

速度不可测的异构多智能体系统一致性分析

近年来,随着异构系统在实际中的广泛应用,异构多智能体系统一致性分析成为研究热点。针对一阶部分智能体控制输入有界、二阶智能体速度不可测的异构多智能体系统,在无向网络拓扑图下给出了无领导者和有领导者两种控制输入设计方法,基于图论知识和LaSalle不变集原理给出了该异构系统实现一致性的充分条件。最后,通过数值仿真验证了该理论的正确性。     

输出死区下的随机多智能体系统一致性饱和控制

针对一类存在输入饱和和输出死区现象的非严格反馈非线性随机多智能体系统,提出一种自适应神经网络一致性饱和控制算法.首先,为了解决非对称输入饱和问题,构造一类与所考虑智能体相同阶次的辅助系统;然后,以反步法和辅助系统作为框架,利用神经网络处理系统中的未知非线性函数,并结合Nussbaum函数解决输出死区问题;接着,利用动态面控制技术避免“计算爆炸”问题;然后,基于李雅普诺夫稳定性理论验证所提出的控制算法能够保证闭环系统全部信号依概率半全局一致最终有界;最后,通过数值仿真和实例仿真的结果验证所提出控制算法的有效性.     

基于神经网络逼近的异构多智能体系统二分拟一致性

研究一类具有未知动力学的二阶异构非线性多智能体系统二分拟一致性问题.针对二阶多智能体系统中未知的非线性动态,基于神经网络逼近理论设计一类自适应控制协议,以保证所有智能体最终收敛到有界区域内.借助Lyapunov稳定性理论和不等式技巧得到异构多智能体系统实现领导-跟随二分拟一致性的充分性条件,并给出一致性误差的上界.最后通过数值仿真验证了理论结果的有效性.     

具有领航者的时延多智能体系统的群集运动

计算机技术、网络技术和通信技术的飞速发展,推动着无人驾驶飞行器的编队控制、传感器网络的分布控制、卫星的姿态控制等多智能体系统的建模与应用的逐步深入,也吸引了越来越多的研究者致力于多智能体系统的动态编队控制的研究.研究了具有不同的通信时延和不同的输入时延的移动多智能体算法的群集运动.假设多智能体系统由n个智能体和1个Leader组成,网络连接拓扑是静态有向连通图,智能体Leader为拓扑图的全局可达节点.应用频率域的广义Nyquist判据分析了具有不同的通信时延和不同的输入时延的移动多智能体算法,应用Greshgorin圆盘定理和曲线的曲率理论研究了具有领航者的多智能体算法的群集运动,得到保证系统一致性的收敛条件.该一致性条件是一个应用节点局部信息的分散式条件,只与输入时延有关,而与通信时延无关.最后,通过计算机仿真验证了本文结论的有效性.     

非连续混合自时延多智能体系统的饱和分布式控制

研究一类非连续混合自时延多智能体系统的全局指数一致性问题.首先,利用具有时变控制增益的分布式负反馈控制器实现智能体之间状态信息交互.考虑到实际系统运行环境与节省控制成本,增设外部饱和环节将控制信号幅值限制在一个合理的范围内,从而提出利用高斯误差函数以及微分中值定理来近似模拟饱和效应,以此降低控制信号的不平滑度.随后,利用Filippov微分包含理论和测度选择定理将多智能体系统的非线性动力学函数映射为Filippov集值函数,再通过广义Halanay不等式和Lyapunov稳定性定理给出该多智能体系统的指数一致性判定条件及其最大容许时延.最后,通过数值仿真验证所提出控制策略的有效性.     

线性和非线性动态异构多自主体系统的有限时间一致性

研究了由线性和非线性动态自主体组成的异构多自主体系统的有限时间一致性问题.针对该异构系统提出了非线性的一致性协议,并分别给出了无领航者和有领航者情形下异构系统在有限时间内实现一致性的充分条件.所得结果还推广到具有有向通信拓扑且满足细致平衡条件的多自主体系统情形.最后,给出一些仿真结果来验证所得结论的正确性和有效性.     

有向网络下非线性多智能体系统的协调跟踪

基于一致性理论,在有向拓扑结构下研究非线性多智能体系统的协调跟踪控制问题．考虑智能体动力学模型为一般且仅满足Lipschitz条件的非线性系统,在仅有部分跟随智能体能获取领航智能体信息的情形下,当领航智能体与跟随智能体之间的拓扑结构具有有向生成树,即存在领航智能体到所有跟随智能体的有向路径时,所设计的分布式控制律可实现所有跟随智能体对领航智能体的跟踪,并指出该拓扑结构是系统实现跟踪的一个必要条件．最后,仿真实验验证了所设计控制算法的有效性．     

双向通信无人机集群领航顶点选取方法

领航顶点选取是关系到领航-跟随模式无人机集群等多智能体系统可控性的重要问题。以具有几十架个体的无人机集群为研究对象,针对领航顶点选取问题,基于Laplace矩阵的特征向量,提出关键集概念。从理论上证明2关键集、3关键集以及独立关键集的图特征。在此基础上,给出求无向网络最小关键集的CSA算法,通过数值仿真实验获得了不同规模、不同通信半径条件下无人机集群最小领航集的数值特征。     

自适应事件触发的马尔科夫跳变多智能体系统一致性

针对非线性马尔科夫跳变多智能体系统在有向固定拓扑下的领导跟随一致性问题,为减少智能体间不必要的通信传输,节约网络资源,保证系统性能,提出一种自适应事件触发控制策略.首先,将每一个智能体均视为马尔科夫跳变系统,且马尔科夫链的转移概率部分未知;通过简单的模型转换建立误差系统,将多智能体系统一致性问题转化为误差系统的稳定性问题;在此基础上,构造合适的Lyapunov-Krasovskii泛函并利用Jensen不等式和线性矩阵不等式等技术给出使多智能体系统达到领导跟随一致性的充分条件及控制器设计方法;通过求解线性矩阵不等式可以得到多智能体系统一致性控制器增益矩阵和事件触发参数矩阵;最后,通过数值仿真验证所提出方法的有效性.     

Leader-following fixed-time output feedback consensus for second-order multi-agent systems with input saturation

This paper investigates the leader-following fixed-time output feedback consensus problem for second-order multi-agent systems with input saturation. By combing fixed-time control technique and bi-limit homogeneous systems theory, a class of bounded fixed-time consensus protocols are developed for leader-following multi-agent systems. The protocol design is divided into two parts. First, when all the state information of the followers are measurable, a state feedback consensus protocol is designed to achieve fixed-time consensus. Then, when the velocity information is unmeasurable, an observer-based fixed-time consensus protocol is proposed. With the help of Lyapunov stability theorem and the property of a homogeneous function, it is theoretically shown that the states of all followers can track that of the leader in fixed-time in the presence of input saturation. Finally, numerical simulation is carried out to illustrate the effectiveness of theoretical results.     

线性和非线性动态异构多自主体系统的有限时间一致性（英文）

In this paper, the finite-time consensus problems of heterogeneous multi-agent systems composed of both linear and nonlinear dynamics agents are investigated. Nonlinear consensus protocols are proposed for the heterogeneous multi-agent systems.Some sufficient conditions for the finite-time consensus are established in the leaderless and leader-following cases. The results are also extended to the case where the communication topology is directed and satisfies a detailed balance condition on coupling weights.At last, some simulation results are given to illustrate the effectiveness of the obtained theoretical results.     

Mean square leader-following consensus of heterogeneous multi-agent systems with Markovian switching topologies and communication delays

This article considers the mean square leader-following output consensus problem of heterogeneous multi-agent systems under randomly switching topologies and time-varying communication delays. By modeling the switching topologies as a time-homogeneous Markov process and taking the communication delays into consideration, a distributed observer is proposed to estimate the state of the leader. A novel distributed output feedback controller is then designed. By constructing a novel switching Lyapunov functional, an easily-verifiable sufficient condition to achieve the mean square leader-following output consensus is given. Finally, two simulation examples are presented to show the effectiveness of the proposed control scheme.     

Consensus of heterogeneous multi-agent systems without velocity measurements

This article considers the consensus problem of heterogeneous multi-agent system composed of first-order and second-order agents, in which the second-order integrator agents cannot obtain the velocity (second state) measurements for feedback. Two different consensus protocols are proposed. First, we propose a consensus protocol and discuss the consensus problem of heterogeneous multi-agent system. By applying the graph theory and the Lyapunov direct method, some sufficient conditions for consensus are established when the communication topologies are undirected connected graphs and leader-following networks. Second, due to actuator saturation, we propose another consensus protocol with input constraint and obtain the consensus criterions for heterogeneous multi-agent system. Finally, some examples are presented to illustrate the effectiveness of the obtained criterions.     

无速度输入多智能体系统的一致性

本文研究了有无引导者的多智能体系统在非线性协议下的一致性问题.当智能体速度信息无法获知时,分别针对有无引导者的多智能体系统设计了包含辅助系统和智能体相对位移信息的非线性分布式协议.借助图论、Lyapunov稳定性理论、Barbalat引理等方法,推导出有无引导者的多智能体系统在连通无向通讯网络中实现一致的充分条件,其次,设计了一种新的能使引导–追随者多智能体系统在有向通讯网络中实现期望一致的协议.最后,数值仿真验证了结果的正确性.     

Robust finite-time consensus tracking for second-order multi-agent systems with input saturation under general directed communication graphs

In this paper, we study the global finite-time consensus tracking problem for uncertain second-order multi-agent systems subject to input saturation. The communication graphs are allowed to be general directed graphs. Sliding-mode observer-based distributed controllers are proposed such that global finite-time consensus tracking is achieved with bounded control inputs. Only relative state or output measurements are used in the proposed controller which reduces the communication requirement on the agents. Simulation examples are given to illustrate the effectiveness of the proposed control strategies.     

Adaptive tracking control of leader-following linear multi-agent systems with external disturbances

In this paper, the consensus problem for leader-following linear multi-agent systems with external disturbances is investigated. Brownian motions are used to describe exogenous disturbances. A distributed tracking controller based on Riccati inequalities with an adaptive law for adjusting coupling weights between neighbouring agents is designed for leader-following multi-agent systems under fixed and switching topologies. In traditional distributed static controllers, the coupling weights depend on the communication graph. However, coupling weights associated with the feedback gain matrix in our method are updated by state errors between neighbouring agents. We further present the stability analysis of leader-following multi-agent systems with stochastic disturbances under switching topology. Most traditional literature requires the graph to be connected all the time, while the communication graph is only assumed to be jointly connected in this paper. The design technique is based on Riccati inequalities and algebraic graph theory. Finally, simulations are given to show the validity of our method.