NDLI: Output consensus of high-order linear multi-agent systems with time-varying delays

Content Provider	IET Digital Library
Author	Jiang, Xiangli Xia, Guihua Feng, Zhiguang
Abstract	In this study, the problem of output consensus control for high-order continuous-time linear multi-agent systems with interval time-varying delays is investigated. The observability decomposition technique is employed to design the output consensus protocols which are the collections of delayed output information from neighbouring agents. On the basis of invertible transformations, output consensus for the concerned dynamical agents is transformed into the problem of asymptotical stability analysis for some lower dimensional subsystems. By introducing the prescribed convergence rate scalar into the constructed delay-dependent Lyapunov functionals, the framework for output consensus analysis is theoretically derived. Benefitting from the method of slack matrix variables, sufficient conditions are obtained in terms of linear matrix inequalities to design the protocol gain matrices which can guarantee the property of output consensus. Moreover, the output consensus function determined merely by the initial states of dynamic agents and consensus protocol is presented without the influences of time-varying delays. Numerical examples are exploited to illustrate the effectiveness of the derived results.
Starting Page	1084
Ending Page	1094
Page Count	11
ISSN	17518644
Volume Number	13
e-ISSN	17518652
Issue Number	Issue 8, May (2019)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/13/8
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2018.5945
Journal	IET Control Theory & Applications
Publisher Date	2019-03-14
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Algebra Asymptotic Stability Combinatorial Mathematics Concerned Dynamical Agents Consensus Protocol Constructed Delay-dependent Lyapunov Functionals Continuous Time System Continuous-time Linear Multiagent System Control System Analysis Control System Synthesis Delay Delayed Output Information Discrete Control System Discrete Time System Distributed Parameter Control System Dynamic Agents High-order Linear Multiagent System Interval Time-varying Delay Linear Matrix Inequalities Linear System Lyapunov Method Matrix Algebra Multi-agent System Neighbouring Agent Output Consensus Analysis Output Consensus Control Output Consensus Function Output Consensus Protocol Stability in Control Theory Synthesis Method Time Varying System
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

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