NDLI: H∞ consensus control of multi-agent systems with input delay and directed topology

Content Provider	IET Digital Library
Author	Wang, Chunyan Ding, Zhengtao
Abstract	In this study, the consensus problem for linear multi-agent systems with general directed graph in the presence of constant input delay and external disturbances is addressed. To deal with input delay, a truncated prediction of the agent state over the delay period is approximated by the finite-dimensional term of the classical state predictor. The truncated predictor feedback method is used for the consensus protocol design. By exploring certain features of the Laplacian matrix, the H ∞ consensus analysis is put in the framework of Lyapunov analysis. The integral terms that remain in the transformed systems are carefully analysed using Krasovskii functional. Sufficient conditions are derived for the multi-agent systems to guarantee the H ∞ consensus in the time domain. The feedback gain is then designed by solving these conditions with an iterative linear matrix inequality procedure. A simulation study is carried out to validate the proposed control design.
Starting Page	617
Ending Page	624
Page Count	8
ISSN	17518644
Volume Number	10
e-ISSN	17518652
Issue Number	Issue 6, Apr (2016)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-cta/10/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-cta.2015.0945
Journal	IET Control Theory & Applications
Publisher Date	2016-04-13
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Classical State Predictor Combinatorial Mathematics Consensus Protocol Design Constant Input Delay Control System Analysis Control System Synthesis Decentralised Control Delay Delay Period Directed Graph Directed Topology Distributed Parameter Control System External Disturbances Feedback Feedback Gain Finite-dimensional Term H∞ Consensus Control Design H∞ Control Interpolation And Function Approximation Iterative Linear Matrix Inequality Procedure Iterative Method Krasovskii Functional Laplacian Matrix Linear Algebra Linear Matrix Inequalities Linear System Lyapunov Analysis Lyapunov Method Multi-agent System Multiagent System Multivariable Control System Numerical Analysis Optimal Control Stability in Control Theory Sufficient Condition Synthesis Method Time Domain Truncated Predictor Feedback Method
Content Type	Text
Resource Type	Article
Subject	Control and Optimization Control and Systems Engineering Human-Computer Interaction Electrical and Electronic Engineering Computer Science Applications

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Disturbance observer-based consensus control of input-delayed LTI systems with matched disturbances: a predictor feedback approach

Pinning consensus for multi-agent systems with non-linear dynamics and time-varying delay under directed switching topology

Distributed reduced-order observer-based approach to consensus problems for linear multi-agent systems

Neuro-adaptive consensus strategy for a class of nonlinear time-delay multi-agent systems with an unmeasurable high-dimensional leader

Distributed adaptive consensus protocols for linear multi-agent systems over directed graphs with relative output information

Convexified H∞ output-feedback consensus synthesis for linear multi-agent systems

Leader-following consensus of general fractional-order linear multi-agent systems via event-triggered control

H ∞ control for a class of multi-agent systems via a stochastic sampled-data method

Lyapunov–Krasovskii functionals for input-to-state stability of switched non-linear systems with time-varying input delay

H∞ consensus control of multi-agent systems with input delay and directed topology

Similar Documents

Disturbance observer-based consensus control of input-delayed LTI systems with matched disturbances: a predictor feedback approach

Pinning consensus for multi-agent systems with non-linear dynamics and time-varying delay under directed switching topology

Distributed reduced-order observer-based approach to consensus problems for linear multi-agent systems

Neuro-adaptive consensus strategy for a class of nonlinear time-delay multi-agent systems with an unmeasurable high-dimensional leader

Distributed adaptive consensus protocols for linear multi-agent systems over directed graphs with relative output information

Convexified H∞ output-feedback consensus synthesis for linear multi-agent systems

Leader-following consensus of general fractional-order linear multi-agent systems via event-triggered control

H ∞ control for a class of multi-agent systems via a stochastic sampled-data method

Lyapunov–Krasovskii functionals for input-to-state stability of switched non-linear systems with time-varying input delay

H∞ consensus control of multi-agent systems with input delay and directed topology