基于异步动态的多机器人系统的一致性

研究通过无线网络进行通信的多机器人系统的一致性问题。多机器人系统在固定通信拓扑下可建模为特定的网络控制系统,考虑信道噪声、不确定短时延和数据包丢失等因素的影响时,其可进一步视作由丢包率约束的异步动态系统。通过构造李雅普诺夫(Lyapunov)函数,运用线性矩阵不等式(linear matrix inequality, LMI)方法,得到了该系统指数稳定的充分条件。为实现多机器人系统的运动一致性,设计了控制器；讨论了不同的指数收敛率对多机器人系统收敛速度的影响,并进行了相应的理论证明和仿真验证。     

具有单向时延的多智能体系统的一致性分析

假设系统拓扑是不变的、有向的强连通图，系统个体之间信息传输具有不同的单向通信时延，研究了移动多智能体动态系统的一致性。应用频率函数方法分析了具有单向时延的多智能体算法的一致性，研究表明当系统只受来自邻居的单向反馈时延信息影响时，系统状态的一致性与单向反馈时延的大小无关。最后应用一个实例验证了结论的有效性。     

Consensus design for continuous-time multi-agent systems with communication delay

This paper investigates a consensus design problem for continuous-time first-order multiagent systems with uniform constant communication delay.Provided that the agent dynamic is unstable and the diagraph is undirected,sufficient conditions are derived to guarantee consensus.The key technique is the adoption of historical input information in the protocol.Especially,when agent＇s own historical input information is used in the protocol design,the consensus condition is constructed in terms of agent dynamic,communication delay,and the eigenratio of the network topology.Simulation result is presented to validate the effectiveness of the theoretical result.     

一类离散时间异构多智能体系统有向图下的一致性分析

研究了离散时间一阶二阶混合的异构多智能体系统有向通信下的一致性问题。首先,对该系统内的个体分别提出了相应的一致性协议。针对该异构系统不满足离散时间系统研究中凸性要求的问题,本文引入了一个非奇异变换,采用非负矩阵理论和一致性理论,分别分析得出了系统在固定和动态拓扑下实现一致性的充分条件。当通信拓扑包含生成树,采样时间和控制参数在一定范围内取值系统将获得一致性,该范围取决于通信拓扑的度矩阵。最后,通过仿真对该结论进行了验证。     

Finite Time Consensus Problem for Multiple Non-Holonomic Agents with Communication Delay

In this paper, finite time consensus problem is discussed for multiple non-holonomic mobile agents with constant communication delay. The objective is to design non-smooth distributed control laws such that multiple non-holonomic mobile agents can be all in agreement within any given finite time larger than communication delay. The authors propose a novel switching control strategy with the help of Lyapunov-based method and graph theory.     

非均匀拓扑网络中的分布式一致性状态估计算法

分布式一致性状态估计是传感器网络中节点对目标的一种有效的估计融合方法。针对网络非均匀拓扑情况下的一致性状态估计问题,首先,研究了分布式传感器网络一致性状态估计框架,提出了四级功能模型,从信息处理、交互及融合的角度描述了一致性状态估计技术的主要流程;其次,考虑网络非均匀拓扑时一致性收敛速度较慢的情况,根据节点间通信链接的重要性设计了基于动态拓扑信息的自适应权值分配方法,在此基础上提出了基于自适应加权的卡尔曼一致性滤波(adaptive weighted Kalman consensus filter,AW-KCF)算法。仿真结果显示,AW-KCF在非均匀拓扑的稀疏网络中具有较快的一致性收敛速度。     

Consensus for Heterogeneous Multi-Agent Systems with Directed Network Topologies

In this paper, the consensus problem for heterogeneous multi-agent systems composed of first-order and second-order agents is investigated with directed network topologies. Based on a system transformation method, this consensus problem is turned into a consensus problem for homogeneous multi-agent systems. With certain assumption on the control parameters, firstly, necessary and sufficient condition for consensus is proposed with fixed topology. Secondly, sufficient condition is proposed for heterogeneous multi-agent systems to achieve consensus with switching topologies. Finally, simulation examples are presented to verify the effectiveness of the theoretical results.     

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.     

Consensus control for leader-following multi-agent systems with measurement noises

<正> This work is concerned with consensus control for a class of leader-following multi-agentsystems (MASs).The information that each agent received is corrupted by measurement noises.Toreduce the impact of noises on consensus,time-varying consensus gains are adopted,based on whichconsensus protocols are designed.By using the tools of stochastic analysis and algebraic graph theory,asufficient condition is obtained for the protocol to ensure strong mean square consensus under the fixedtopologies.This condition is shown to be necessary and sufficient in the noise-free case.Furthermore,by using a common Lyapunov function,the result is extended to the switching topology case.     

Group consensus for multiple networked Euler-Lagrange systems with parametric uncertainties

In this paper,a group consensus problem is investigated for multiple networked agents with parametric uncertainties where all the agents are governed by the Euler-Lagrange system with uncertain parameters.In the group consensus problem,the agents asymptotically reach several different states rather than one consistent state.A novel group consensus protocol and a time-varying estimator of the uncertain parameters are proposed for each agent in order to solve the couple-group consensus problem.It is shown that the group consensus is reachable even when the system contains the uncertain parameters.Furthermore,the multi-group consensus is discussed as an extension of the couple-group consensus,and then the group consensus with switching topology is considered.Simulation results are finally provided to validate the effectiveness of the theoretical analysis.     

基于异步切换的飞行器网络控制系统故障检测

针对网络化飞行器故障检测系统在多工作点间切换情况,考虑时延和丢包导致的滤波器切换时刻滞后于飞行器模型切换时刻问题,提出一种基于异步切换系统的故障检测算法。将网络环境下大包线内多工作点飞行器建模为异步切换系统,基于李亚普诺夫函数和平均驻留时间法,给出了具有异步切换形式的故障检测系统全局一致渐近稳定的充分条件,进一步利用线性矩阵不等式（linear matrix inequation, LMI）工具求取滤波器参数。数值仿真验证并分析了所提方法的有效性。     

多输入多输出网络控制系统的绝对稳定性分析

考虑到网络诱导时延和网络通道的非线性反馈干扰,研究了多输入多输出网络控制系统的时滞依赖稳定性。基于各回路有界的状态反馈输入,建立闭环系统的Lurie时滞系统模型。应用Lyapunov稳定性理论和线性矩阵不等式工具,分析了各子系统在有扇形条件约束的绝对稳定性,同时得到网络控制系统全局稳定运行的最大允许时延界。最后,通过仿真例子,表明该方法是可行的。     

Adaptive control for a class of discrete-time time-delay systems with regard to delay parameter

The memory state feedback control problem for a class of discrete-time systems with input delay and unknown state delay is addressed based on LMIs and Lyapunov-Krasovskii functional method. Under the action of our designed adaptive control law, the unknown time-delay parameter is included in memory state feedback controller. Using LMI technique, delay-dependent sufficient conditions for the existence of the feedback controller are obtained. Finally, the effectiveness of the proposed design method is demonstrated by a numerical example.     

Improvement for consensus performance of multi-agent systems based on delayed-state-derivative feedback

The delayed-state-derivative feedback (DSDF) is introduced into the existing consensus protocol to simultaneously improve the robustness to communication delay and accelerate the convergence speed of achieving the consensus. The frequency-domain analysis, together with the algebra graph the- ory, is employed to derive the sufficient and necessary condition guaranteeing the average consensus. It is shown that introducing the DSDF with the proper intensity in the existing consensus protocol can improve the robustness to communication delay. By analyzing the effect of DSDF on the closed-loop poles, this paper proves that for a supercritical-delay multi-agent system, this strategy can also accelerate the convergence speed of achieving the consensus with provided the proper intensity of the DSDF. Simulations are provided to demonstrate the effectiveness of the theoretical results.     

Leader-following consensus protocols for formation control of multi-agent network

Two protocols are presented,which can make agents reach consensus while achieving and preserving the desired formation in fixed topology with and without communication timedelay for multi-agent network.First,the protocol without considering the communication time-delay is presented,and by using Lyapunov stability theory,the sufficient condition of stability for this multi-agent system is presented.Further,considering the communication time-delay,the effectiveness of the protocol based on Lyapunov-Krasovskii function is demonstrated.The main contribution of the proposed protocols is that,as well as the velocity consensus is considered,the formation control is concerned for multi-agent systems described as the second-order equations.Finally,numerical examples are presented to illustrate the effectiveness of the proposed protocols.     

具有不同输入时延的二阶多智能体系统一致性

研究了具有不同时变输入时延的二阶连续多智能体系统的一致性问题。首先,通过变量转换,将系统的收敛性问题转化为误差系统的稳定问题;然后,通过对系统进行变换,将二阶系统稳定性问题转换为等价系统的稳定性问题。通过构造李雅普诺夫函数,基于线性矩阵不等式(LMI)的方法,给出在无向固定拓扑条件下,系统达到一致的充分条件。最后,仿真实例证明了结果的有效性。     

一种时滞相关非脆弱模糊控制器的设计

研究了一类带有时变时滞的离散模糊双线性系统的时滞相关非脆弱控制问题。引入自由权值矩阵并定义一种新型的Lyapunov函数,在控制器存在加性不确定的情况下,得到了保守性小的时滞相关渐近稳定的充分条件。通过附加矩阵,将所得到的稳定条件转换为线性矩阵不等式(linear matrix inequality, LMI)形式,非脆弱控制器可由LMI的解得到。数例仿真验证了该方法的有效性。     

Guaranteed cost control with constructing switching law of uncertain discrete-time switched systems

A guaranteed cost control problem for a class of linear discrete-time switched systems with norm-bounded uncertainties is considered in this article. The purpose is to construct a switching rule and design a state feedback control law, such that, the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties under the constructed switching rule. A sufficient condition for the existence of guaranteed cost controllers and switching rules is derived based on the Lyapunov theory together with the linear matrix inequality (LMI) approach. Furthermore, a convex optimization problem with LMI constraints is formulated to select the suboptimal guaranteed cost controller. A numerical example demonstrates the validity of the proposed design approach.     

Robust dissipative control for time-delay stochastic jump systems

A robust dissipative control problem for a class of It?-type stochastic systems is discussed with Markovian jumping parameters and time-varying delay. A memoryless state feedback dissipative controller is developed based on Lyapunov-Krasovskii functional approach such that the closed-loop system is robustly stochastically stable and weakly delay-dependent (RSSWDD) and strictly (Q, S, R)-dissipative. The sufficient condition on the existence of state feedback dissipative controller is presented by linear matrix inequality (LMI). And the desired controller can be concluded as solving a set of LMI. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.     

时滞大系统的模型参考鲁棒自适应分散控制

基于Lyapunov-Krasovskii (L-K) 泛函方法,结合线性矩阵不等式（linear matrix inequality, LMI）技术以及自适应控制方法,研究了一类不确定时变时滞大系统的模型参考跟踪控制问题,提出了一种鲁棒自适应分散控制器设计方法。时滞无关的控制器设计无需模型参考跟踪控制中苛刻的模型匹配条件且局部状态反馈增益以LMI 形式给出,便于计算机求解和参数优化。为避免控制过程中的自适应参数持续增长问题,提出了死区自适应算法。最后以仿真实例表明了所提方法的正确性与有效性。