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Journal ArticleDOI

Robust H 2 Consensus for Multi-Agent Systems With Parametric Uncertainties

TLDR
The robust consensus problem of linear multi-agent systems in the presence of parametric uncertainties and noise signals is defined and the design procedure for the distributed state feedback controller is developed to synchronize the network.
Abstract
This brief is concerned with the robust $H_{2}$ consensus problem of linear multi-agent systems in the presence of parametric uncertainties and noise signals. The robust $H_{2}$ consensus problem is defined and the design procedure for the distributed state feedback controller is developed to synchronize the network as well as guarantee a prescribed $H_{2}$ performance. As s special case, the robust consensus problem with only parametric uncertainties is also studied and is converted into the simultaneous $H_{\infty }$ stabilization problems for a set of subsystems. The controller parameters are determined by solving some linear matrix inequalities.

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Citations
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Journal ArticleDOI

Reliable Memory Sampled-Data Consensus of Multi-Agent Systems With Nonlinear Actuator Faults

TL;DR: In this paper , a memory-based sampled-data consensus framework is proposed for general linear multi-agent systems (MAS) in the presence of a class of nonlinear actuator faults (NAF).
Journal ArticleDOI

Distributed Adaptive Formation Tracking Control under Fixed and Switching Topologies: Application on General Linear Multi-Agent Systems

TL;DR: In this article, a distributed formation tracking protocol based on Riccati inequalities with adaptive coupling weights among the follower agents and the leader agent is designed for a leader-following multi-agent system under fixed and switching topologies.
Journal ArticleDOI

Distributed fault detection for uncertain Lipschitz nonlinear multi‐agent systems in finite frequency domain

TL;DR: In this paper , a distributed fault detection for uncertain Lipschitz nonlinear multi-agent systems (MASs) is studied, where a finite-frequency H−/H∞/H ∞$$ {H}-}/{H}_{\infty } $$ unknown input observer (UIO) is designed to formulate the reference residual system.
Proceedings ArticleDOI

Robust H<sub>∞</sub> Consensus for Homogeneous Multi-agent Systems with Parametric Uncertainties

TL;DR: In this paper , the authors considered the problem of robust consensus of an undirected network of homogeneous multi-agent systems with uncertain agent dynamics and system noise and provided sufficient conditions for the control gains to achieve both consensus in the noiseless setting and a transfer function with a given bounded H norm in the setting with noise.
Journal ArticleDOI

Performance Analysis of Consensus Algorithms Over Prism Networks Using Laplacian Spectra

TL;DR: In this paper , the performance analysis of consensus algorithms over prism networks is investigated in terms of convergence time, network coherence, and communication delay, and it is shown that the effect of noise and communication time-delay on the consensus dynamics in prism networks along with loopy structure is minimal.
References
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Journal ArticleDOI

Consensus and Cooperation in Networked Multi-Agent Systems

TL;DR: A theoretical framework for analysis of consensus algorithms for multi-agent networked systems with an emphasis on the role of directed information flow, robustness to changes in network topology due to link/node failures, time-delays, and performance guarantees is provided.
Book

Essentials of Robust Control

TL;DR: In this article, the authors introduce linear algebraic Riccati Equations and linear systems with Ha spaces and balance model reduction, and Ha Loop Shaping, and Controller Reduction.
Journal ArticleDOI

Consensus of Multiagent Systems and Synchronization of Complex Networks: A Unified Viewpoint

TL;DR: In this article, a distributed observer-type consensus protocol based on relative output measurements is proposed to solve the consensus problem of multi-agent systems with a time-invariant communication topology consisting of general linear node dynamics.
Journal ArticleDOI

Output feedback H∞ control of systems with parameter uncertainty

TL;DR: In this paper, the authors dealt with H ∞ control problem for systems with parametric uncertainty in all matrices of the system and output equations and derived necessary and sufficient conditions for quadratic stability with disturbance attenuation.
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