Discrete-time finite-time consensus algorithm for first-order multi-agent systems

2021 ◽  
Author(s):  
Yuping He ◽  
Shijie Zhang ◽  
Weijian Zhang ◽  
Weile Chen
Keyword(s):  
Discrete Time ◽  
Finite Time ◽  
Consensus Algorithm ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
First Order ◽  
Multi Agent

Fast Finite-Time Consensus Tracking of First-Order Multi-Agent Systems with a Virtual Leader

2014 ◽  
Vol 596 ◽  
pp. 552-559 ◽  
Author(s):  
Qiu Yun Xiao ◽  
Zhi Hai Wu ◽  
Li Peng
Keyword(s):  
Graph Theory ◽  
Finite Time ◽  
Function Method ◽  
Multi Agent Systems ◽  
Agent Systems ◽  
First Order ◽  
Consensus Tracking ◽  
Lyapunov Function Method ◽  
Multi Agent ◽  
Virtual Leader

This paper proposes a novel finite-time consensus tracking protocol for guaranteeing first-order multi-agent systems with a virtual leader to achieve the fast finite-time consensus tracking. The Lyapunov function method, algebra graph theory, homogeneity with dilation and some other techniques are employed to prove that first-order multi-agent systems with a virtual leader applying the proposed protocol can reach the finite-time consensus tracking. Furthermore, theoretical analysis and numerical simulations show that compared with the traditional finite-time consensus tracking protocols, the proposed protocol can accelerate the convergence speed of achieving the finite-time consensus tracking.

scholarly journals Finite Time Consensus Control for Nonlinear Heterogeneous Multi-agent Systems With Disturbances

2021 ◽  
Author(s):  
Lianghao Ji ◽  
Donglin Lv ◽  
Shasha Yang ◽  
Xing Guo ◽  
Huaqing Li
Keyword(s):  
Finite Time ◽  
Sliding Mode ◽  
Pinning Control ◽  
Control Methods ◽  
Multi Agent Systems ◽  
Consensus Control ◽  
Agent Systems ◽  
First Order ◽  
System A ◽  
Multi Agent

Abstract This paper discusses the finite time consensus (FTC) issue of nonlinear heterogeneous multi-agent systems (HMASs) by combining integral sliding-mode control (SMC), event-triggered control (ETC) and pinning control methods. The SMC is constructed separately for first-order and second-order agents to assure that the system is not interfered by the nonlinearities and disturbances when the state trajectory of the system moves on the sliding surface. To stimulate the FTC of system, a novel control protocols are designed and a fully distributed ETC with adjustable trigger frequency only rely on the local information is introduced. Moreover, the Zeno behavior is eliminated and the range of pinning gain of each agent under directed topology is determined. Meanwhile, we also give the conditional criteria for the system to achieve FTC. Eventually, the correctness of the obtained conclusion is illustrated by several simulation examples.

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