Finite-time adaptive consensus of a class of multi-agent systems

Liu, Kexin; Wu, Liang; Lü, Jinhu; Zhu, Henghui

doi:10.1007/s11431-015-5989-7

Cited by 82 publications

(34 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…If A = C = 0, B = D = I and d i ( t ) = 0, our system model is reduced to the model

{\overset{false˙}{italicx}}_{i} = f ((), x_{i}) + u_{i}

, which is same as the model in . If A = A + , B = B + , C = D = 0 and d i ( t ) = 0 our system model is reduced to the model

{\overset{false˙}{ε}}_{i} = A^{+} ε_{i} + B^{+} u_{i}

, which is same as the model in .…”

Section: Resultsmentioning

confidence: 99%

“…Inspired by , the unknown disturbance can be estimated by using the relative output information of neighbors, which is as follows:

\begin{matrix} lefttrue \\ {\dot{\overset{trueˆ}{italicd}}}_{italici} (t) = v_{i} (t) \\ v_{i} (t) = F {false\sum}_{j = 1}^{N} a_{italicij} [{\hat{y}}_{i} (t) - y_{i} (t) - {\hat{y}}_{j} (t) + y_{j} (t)] \end{matrix}

where

{\overset{trueˆ}{y}}_{i} ((), t) \in R^{m}

{\overset{trueˆ}{d}}_{i} ((), t)

are the observer output and the disturbance estimate of the agent i , F ∈ R n × m is gain matrix.…”

Section: Preliminaries and Model Descriptionmentioning

confidence: 99%

See 1 more Smart Citation

Event‐Triggered Consensus of Nonlinear Multi‐Agent Systems with Unknown External Disturbance

Dong

Wang

2017

Asian Journal of Control

View full text Add to dashboard Cite

This paper addresses the consensus problem of nonlinear multi‐agent systems with unknown external disturbance. First, a distributed observer is proposed to estimate the state and unknown disturbance of each agent simultaneously. Then, a novel event‐triggered control scheme based on the agent state estimation and disturbance estimation is proposed. Unlike the existing strategies, our event‐triggered conditions depend on agent state estimation and disturbance estimation, which are more effective and practical. Under this observer and control strategy, some sufficient conditions are derived to ensure the consensus of the multi‐agent system with unknown external disturbance. Moreover, the Zeno‐behavior of triggering time sequences is also excluded. Finally, a simulation example is given to verify the theoretical analysis.

show abstract

“…If A = C = 0, B = D = I and d i ( t ) = 0, our system model is reduced to the model

{\overset{false˙}{italicx}}_{i} = f ((), x_{i}) + u_{i}

, which is same as the model in . If A = A + , B = B + , C = D = 0 and d i ( t ) = 0 our system model is reduced to the model

{\overset{false˙}{ε}}_{i} = A^{+} ε_{i} + B^{+} u_{i}

, which is same as the model in .…”

Section: Resultsmentioning

confidence: 99%

“…Inspired by , the unknown disturbance can be estimated by using the relative output information of neighbors, which is as follows:

\begin{matrix} lefttrue \\ {\dot{\overset{trueˆ}{italicd}}}_{italici} (t) = v_{i} (t) \\ v_{i} (t) = F {false\sum}_{j = 1}^{N} a_{italicij} [{\hat{y}}_{i} (t) - y_{i} (t) - {\hat{y}}_{j} (t) + y_{j} (t)] \end{matrix}

where

{\overset{trueˆ}{y}}_{i} ((), t) \in R^{m}

{\overset{trueˆ}{d}}_{i} ((), t)

are the observer output and the disturbance estimate of the agent i , F ∈ R n × m is gain matrix.…”

Section: Preliminaries and Model Descriptionmentioning

confidence: 99%

Event‐Triggered Consensus of Nonlinear Multi‐Agent Systems with Unknown External Disturbance

Dong

Wang

2017

Asian Journal of Control

View full text Add to dashboard Cite

show abstract

“…The estimation (15) implies that the system (12) is globally uniformly practically asymptotically stable in the sense that the ball B ε ∞ is globally uniformly asymptotically stable.…”

Section: Stability Analysismentioning

confidence: 99%

New criterion for asymptotic stability of time-varying dynamical systems

Ghrissi¹,

Hammami²,

Hammi³

et al. 2017

Kybernetika

View full text Add to dashboard Cite

“…Meanwhile, lots of network models have been introduced to describe the real world. In particular, synchronization is an interesting and important collective phenomena in networks and has been deeply investigated . The research on synchronization can be tracked to the most important work of Huygens about pendulum clocks in the 17th century.…”

Section: Introductionmentioning

confidence: 99%

Exponential Synchronization of Dynamical Network with Distributed Delays Via Intermittent Control

2018

Asian Journal of Control

View full text Add to dashboard Cite

In this paper, the exponential synchronization of dynamical network with distributed time delays is investigated. The intermittent controllers are designed to achieve the exponential synchronization. Based on the Lyapunov function method and the mathematical analysis technique, some synchronization criteria with respect to the system parameters, control gain and control rate are presented. From the criteria, for any given dynamical network, the needed values of control gains and rate can be easily estimated. Finally, two numerical simulations are performed to verify the derived theoretical results.

show abstract

Finite-time adaptive consensus of a class of multi-agent systems

Cited by 82 publications

References 23 publications

Event‐Triggered Consensus of Nonlinear Multi‐Agent Systems with Unknown External Disturbance

Event‐Triggered Consensus of Nonlinear Multi‐Agent Systems with Unknown External Disturbance

New criterion for asymptotic stability of time-varying dynamical systems

Exponential Synchronization of Dynamical Network with Distributed Delays Via Intermittent Control

Contact Info

Product

Resources

About