Observer-type consensus protocol for a class of fractional-order uncertain multiagent systems
type: Item
instance of: scholarly article
title: Observer-type consensus protocol for a class of fractional-order uncertain multiagent systems
zbMATH Open document ID: 1253.93095
DOI: 10.1155/2012/672346
author: Hongjie Li
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: We investigate the consensus problem for a class of fractional-order uncertain multiagent systems with general linear node dynamics. Firstly, an observer-type consensus protocol is proposed based on the relative observer states of neighboring agents. Secondly, based on property of the Kronecker product and stability theory of fractional-order system, some sufficient conditions are presented for robust asymptotical stability of the observer-based fractional-order control systems. Thirdly, robust stabilizing controllers are derived by using linear matrix inequality approach and matrix's singular value decomposition. Our results are in the form of linear matrix inequalities which can easily be solved by LMI toolbox in MATLAB. Finally, a numerical simulation is performed to show the effectiveness of the theoretical results.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34H05
zbMATH DE Number: 6116430
zbMATH Keywords: robust asymptotical stability
zbMATH Keywords: fractional-order control systems
zbMATH Keywords: linear matrix inequality
zbMATH Keywords: singular value decomposition
zbMATH Keywords: \texttt{LMI toolbox}
zbMATH Keywords: \texttt{MATLAB}
Wikidata QID: Q58695835
describes a project that uses: LMI toolbox
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/672346
OpenAlex ID: W2157933814
cites work: Decentralized control of satellite formations
cites work: Consensus Problems in Networks of Agents With Switching Topology and Time-Delays
cites work: Consensus seeking in multiagent systems under dynamically changing interaction topologies
cites work: On the general consensus protocol of multi-agent systems with double-integrator dynamics
cites work: Distributed Consensus for Multiagent Systems with Communication Delays and Limited Data Rate
cites work: Consensus of high-order linear systems using dynamic output feedback compensator: low gain approach
cites work: Consensus Conditions of Multi-Agent Systems With Time-Varying Topologies and Stochastic Communication Noises
cites work: Consensus of linear multi-agent systems with reduced-order observer-based protocols
cites work: On the Fractional Calculus Model of Viscoelastic Behavior
cites work: Linear approximation of transfer function with a pole of fractional power
cites work: Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations
cites work: Robust Stability and Stabilization of Fractional-Order Interval Systems: An LMI Approach
cites work: Robust Stability and Stabilization of Fractional-Order Interval Systems with the Fractional Order $\alpha$: The $0≪\alpha≪1$ Case
cites work: LMI-based robust control of fractional-order uncertain linear systems
cites work: Distributed formation control for fractional-order systems: dynamic interaction and absolute/relative damping
cites work: Pinning control of fractional-order weighted complex networks
cites work: Synchronization of \(N\)-coupled fractional-order chaotic systems with ring connection
cites work: Exponential cluster synchronization of impulsive delayed genetic oscillators with external disturbances
cites work: Robust stability for genetic regulatory networks with linear fractional uncertainties
cites work: Hierarchical structures in the phase space and fractional kinetics: I. Classical systems
cites work: Applications of fractional calculus in physics
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3141895
cites work: Cluster synchronization stability for stochastic complex dynamical networks with probabilistic interval time-varying delays
cites work: Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory
description: scientific article; zbMATH DE number 6116430