Leader-following Cluster Consensus in Multi-agent Systems with Intermittence

In this paper, the cluster consensus problem of first-order nonlinear multi-agent systems with aperiodic intermittent communication is studied through pinning leader-following approach. The pinning consensus algorithm based on the relative local intermittent information is designed according to the varies linking ways of clustered network structure. New notions of leading intermittence and inter-cluster intermittence which related to the intermittent linking ways of leader-following clustered structure are developed, and several new systems with intermittence are established due to the new notions. Besides, dynamics with inherent delay are also considered to extend our results to a more general framework. The original communication graph without intermittent pattern is supposed to be directed and weakly connected. Some consensus criteria are derived to guarantee that the cluster consensus problem for the systems with intermittent communication can be solved. Finally, numerical simulations are given to illustrate the effectiveness of the theoretical results.     

Distributed Reset Control for Leader-following Consensus of Nonlinear Multi-agent Systems

International Journal of Control, Automation and Systems - This paper studies the leader-following consensus problem of nonlinear multi-agent systems with directed graph. A distributed reset...     

Leader-following Consensus of Multi-agent Systems via a Hybrid Protocol with Saturation Effects

In this paper, a hybrid protocol which can control multi-agent systems to achieve “leader-following consensus” is proposed, the control protocol is periodic and is composed of continuous control and impulse control. Considering the power limitation and the time error of the actual industrial production equipments, the impulse saturation effects and the impulse time window are introduced. In this paper, the multi-agent system is modeled, one of the agents is designated as the leader, and the rest of the agents are the followers. Then the error system equations of the multi-agent system is derived. The stability of the error system is analyzed by constructing the Lyapunov function. Theorem 1 and theorem 2 are obtained as the criteria of state consensus of the multi-agent system. Finally, a numerical experiment is carried out to verify the reliability and efficiency of the conclusions are given in this paper. Because it takes into account the impulse time window and impulse saturation effects, which is more in line with the actual industrial production.

     

A Continuous Leader-following Consensus Control Strategy for a Class of Uncertain Multi-agent Systems

In this paper, we study the robust leader-following consensus problem for a class of multi-agent systems with unknown nonlinear dynamics and unknown but bounded disturbances. The control input of the leader agent is nonzero and not available to any follower agent. We first consider a class of high order chain integrator-type multi-agent systems. By employing the robust integral of the sign of the error technique, a continuous distributed control law is constructed using local information obtained from neighboring agents. Using Lyapunov analysis theory, we show that under a connected undirected information communication topology, the proposed protocol achieves semiglobal leader-following consensus. We then extend the approach to a class of more general uncertain multiagent systems. A numerical example is given to verify our proposed protocol.      

Finite-time Consensus of Leader-following Multi-agent Systems with Multiple Time Delays over Time-varying Topology

This paper studies the finite-time consensus of leader-following multi-agent systems with multiple time delays over time-varying topology. The finite-time     

带有智能领导者的网络系统分群投影一致性

针对多智能体系统在分群结构下投影一致性问题,引入了一种新的领导者称之为智能领导者。与传统的领导者相比,智能领导者可以获取和利用相邻跟随者位置信息,这些信息是否会用于调整智能领导者的控制算法由事件触发函数决定,从而很大程度上提高了系统的鲁棒性和容错性。设计了一个新颖的分布式控制协议;利用矩阵理论和Lyapunov稳定性理论,给出了系统在分群结构下实现投影一致性的充分条件;基于拉普拉斯变换性质,分析了当一些跟随者发生执行器故障时,系统能够保证跟踪误差有界;最后数值仿真验证了结果的有效性。     

Leader-following Exponential Consensus of Discrete-time Multi-agent Systems with Time-varying Delay and Intermittent Communication

International Journal of Control, Automation and Systems - In this paper, the leader-following exponential consensus problem of discrete-time multi-agent systems with time-varying delay is...     

Fault-tolerant Consensus of Leader-following Multi-agent Systems Based on Distributed Fault Estimation Observer

International Journal of Control, Automation and Systems - This paper is concerned with the fault-tolerant consensus control problem for leader-following multi-agent systems with actuator faults...     

Dynamic Event-triggered Control for Heterogeneous Leader-following Consensus of Multi-agent Systems Based on Input-to-state Stability

International Journal of Control, Automation and Systems - By utilizing dynamic event-triggered control strategy, this paper deals with consensus problem of a class of heterogeneous...     

Leader-following Rendezvous with Connectivity Preservation of Single-integrator Multi-agent Systems

This paper studies the problem of leader-following rendezvous with connectivity preservation for a linear multiagent system where the leader system is a linear autonomous system and the follower system is a multiple single-integrator system. We develop a distributed state feedback control protocol to maintain the connectivity of the system and, at the same time, to achieve asymptotic tracking of all followers to the output of the leader system.      

Leader-following Consensus for Second-order Nonlinear Multi-agent Systems Under Markovian Switching Topologies with Application to Ship Course-keeping

The leader-following consensus problem for a class of second-order nonlinear multi-agent systems under Markovian switching topologies is studied. First, a discontinuous distributed adaptive nonlinear control law using the relative state information between neighboring agents is designed for heterogeneous multi-agent systems, which achieves almost sure leader-following consensus for the closed-loop system. Then, a smooth distributed control law is designed for homogeneous multi-agent systems. Compared with previous results, the nonlinear functions are not required to satisfy the globally Lipschitz condition and the adaptive consensus protocol is in a distributed fashion, i.e., using only the relative information. A practical example of ship course control system and simulation are provided to demonstrate the effectiveness of the control scheme.

     

带未知耦合权重的领导-跟随多智能体系统的实用一致性

一致性理论在许多领域有广泛应用.现有很多研究成果是关于恒同一致的.在实际中,由于任何系统都会不可避免地受到一定的外界扰动,要求误差函数的极限等于0是难以做到的,但当时间充分大时误差函数在可接受区间内是可行的.本文首先给出多智能体系统的实用一致性概念,然后研究含未知耦合权重的一阶非线性领导-跟随多智能体系统的实用一致性问题.通过设计合适的控制协议,运用图论、矩阵理论和强实用稳定性理论,得到该多智能体系统实现实用一致性的充分条件.数值模拟验证了理论结果的正确性.     

Leader-following Consensus of Nonlinear Delayed Multi-agent Systems with Randomly Occurring Uncertainties and Stochastic Disturbances under Impulsive Control Input

This paper investigates the leader-following consensus problem for a class of nonlinear delayed multiagent systems with randomly occurring uncertainties and stochastic disturbances under impulsive control inputs. For this class of multi-agent system, we present a novel impulsive control protocol which can effectively reduce the control cost and is easy to implement. Two consensus criteria are derived for ensuring global exponential consensus of nonlinear delayed multi-agent systems under non-uniformly distributed impulsive control signals based on comparison principle and average impulsive interval. Compared with the consensus criteria which are derived by the upper bound or lower bound of the impulse intervals in existing results, the obtained criteria are proved to be easier to be satisfied. Simulation results illustrate the effectiveness of the theoretical results.     

采用超节点协同的多智能体系统一致性算法

针对如何提高多智能体系统达到一致性的收敛速度的问题,提出了一种采用超节点协同的多智能体系统一致性算法.新算法对多智能体系统建立图信号模型,在图中选出超节点进行协同,有效提高一致性收敛速度.首先利用单跳采样算法对图进行超节点的选取和局部集的划分,并对局部集内的节点进行一次协同.然后超节点之间进行边的连接得到粗化图,用粗化图的拉普拉斯矩阵特征值设计图滤波器的系数.最后超节点的信号经过图滤波器迭代达到平均值后,传输给其一阶邻居节点,使所有节点达到平均一致.仿真结果表明所提算法能够最终实现平均一致性,与现有方法相比,可以显著提高收敛速度,并减少计算量.     

二阶多智能体系统采样控制的一致性

研究在固定拓扑和切换拓扑下,二阶多智能体系统通过采样控制的一致性问题。首先,对于固定拓扑,给出了二阶多智能体系统通过采样控制达到一致性的充要条件;其次,对于切换拓扑,在所有联合切换拓扑有生成树的前提下,建立基于控制参数和采样周期使二阶系统实现一致性的充分条件。最后,用数值仿真验证所给结论的有效性。     

带虚拟领导者的多智能体系统的非光滑一致性

研究了在限制交互范围条件下具有一个虚拟领导者的二阶多智能体系统的一致性问题。假设多智能体系统中所有智能体均可以接收到领导者的信息，而智能体之间只有距离在一定范围内才可以进行相互通信。在相对状态反馈的线性一致性协议下，通过李雅普诺夫法，证明了该多智能体系统二阶一致性的充分条件。接着通过仿真实例验证了理论结果，并对该算法作出了总结。     

Event-triggering Consensus for Second-order Leader-following Multiagent Systems with Nonlinear Time-delayed Dynamics

International Journal of Control, Automation and Systems - This work focuses on the leader-following consensus problem for networks of dynamic agents, each of which has second-order nonlinear...     

离散时间多智能体系统的一致性

研究了离散时间高维线性系统的一致性问题. 所考虑的系统可视为包含多个个体的多智能体系统, 每个个体的动力学行为与其他个体不同并受其他个体状态的影响. 本文建立了系统具有一致性的若干充分必要条件. 如果一致性函数存在, 文章给出了该函数的显式表达. 文末用一个数值例子说明了所得的理论结果.     

具有动态领导节点的多智能体系统一致性分析

具有领导节点的一致性问题是多智能体协调控制重要研究内容。目前其研究结论主要集中在系统通信拓扑关系固定不变这一前提下,对于系统通信拓扑关系为动态变化时具有领导节点的一致性问题尚未得到完全解决。对系统通信拓扑关系为有向、时变情况下的具有领导节点的多智能体系统一致性问题进行研究。分析并给出了在领导节点为常值和时变两种情况下多智能体系统达到一致的条件。并通过矩阵论和图论相关知识给出了详细证明。最后通过仿真实例验证了结论的正确性。