Distributed H ∞ PID Feedback for Improving Consensus Performance of Arbitrary-delayed Multi-agent System
TL;DR: The H∞ proportional-integral-differential (PID) feedback for arbitrary-order delayed multi-agent system is investigated to improve the system performance and the results reveal the effectiveness of the proposed method.
read more
Abstract: The H ? proportional-integral-differential (PID) feedback for arbitrary-order delayed multi-agent system is investigated to improve the system performance. The closed-loop multi-input multi-output (MIMO) control framework with the distributed PID controller is firstly described for the multi-agent system in a unified way. Then, by using the matrix theory, the prescribed H ? performance criterion of the multi-agent system is shown to be equivalent to several independent H ? performance constraints of the single-input single-output (SISO) subsystem with respect to the eigenvalues of the Laplacian matrix. Subsequently, for each subsystem, the set of the PID controllers satisfying the required H ? performance constraint is analytically characterized based on the extended Hermite-Biehler theorem. Finally, the three-dimensional set of the decentralized H ? PID control parameters is derived by finding the intersection of the H ? PID regions for all the decomposed subsystems. The simulation results reveal the effectiveness of the proposed method.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
A survey of the consensus for multi-agent systems
Yanjiang Li,Chong Tan +1 more
TL;DR: The state-of-the-art development in the consensus of MASs is reviewed, including consensus subjected to communication constraints, leader-following consensus, group consensus, consensus based on trigger mechanism, finite-time consensus, multi-consensus and multi-tracking.
87
•Proceedings Article
A framework for Lyapunov certificates for multi-vehicle rendezvous problems
Tiwari,Fung,Carson,Bhattacharya,Murray +4 more
- 01 Jan 2004
TL;DR: In this paper, the problem of rendezvous is cast as a stabilization problem, with a set of constraints on the trajectories of the agents, defined on the phase plane, and a method to generate control Lyapunov functions that when used in conjunction with a stabilizing control law, makes sure that the two-agent system attains rendezvous.
40
A distributed consensus control under disturbances for wind farm power maximization
Nicolo Gionfra,Guillaume Sandou,Houria Siguerdidjane,Damien Faille,Philippe Loevenbruck +4 more
- 12 Dec 2017
TL;DR: This paper proposes a distributed PID-like consensus approach that enhances the rejection of the wind disturbances by providing the power references to the local WT controllers by employing an approximated feedback linearization control.
The local control scheme for switching consensus value in multi-agent systems
TL;DR: In this article, a local control strategy is presented to switch the consensus value for the first-order multi-agent system, which can guarantee that all the agents change the original consensus value into the desired one.
10
A Distributed PID-like Consensus Control for Discrete-time Multi-agent Systems
Nicolo Gionfra,Guillaume Sandou,Houria Siguerdidjane,Damien Faille +3 more
- 26 Jul 2017
TL;DR: The problem of discrete-time multi-agent systems governed by general MIMO dynamics is addressed by employing a PID-like distributed protocol that aims to solve two relevant consensus problems, namely the leaderless consensus under disturbances and leader-follower under time-varying reference state ones.
7
References
Information flow and cooperative control of vehicle formations
J.A. Fax,Richard M. Murray +1 more
TL;DR: A Nyquist criterion is proved that uses the eigenvalues of the graph Laplacian matrix to determine the effect of the communication topology on formation stability, and a method for decentralized information exchange between vehicles is proposed.
An Overview of Recent Progress in the Study of Distributed Multi-Agent Coordination
TL;DR: In this article, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006 and proposed several promising research directions along with some open problems that are deemed important for further investigations.
•Posted Content
An Overview of Recent Progress in the Study of Distributed Multi-agent Coordination
TL;DR: In this paper, the authors reviewed some main results and progress in distributed multi-agent coordination, focusing on papers published in major control systems and robotics journals since 2006, and proposed several promising research directions along with some open problems that are deemed important for further investigations.
1.9K