Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm

In this paper, we propose a discontinuous distributed model-independent algorithm for a directed network of Euler-Lagrange agents to track the trajectory of a leader with nonconstant velocity. We initially study a fixed network and show that the leader tracking objective is achieved semiglobally exp...

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Main Authors: Ye, Mengbin, Anderson, B.D.O., Yu, C.
Format: Journal Article
Language:English
Published: IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC 2019
Subjects:
Online Access:http://purl.org/au-research/grants/arc/DP160104500
http://hdl.handle.net/20.500.11937/84353
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author Ye, Mengbin
Anderson, B.D.O.
Yu, C.
author_facet Ye, Mengbin
Anderson, B.D.O.
Yu, C.
author_sort Ye, Mengbin
building Curtin Institutional Repository
collection Online Access
description In this paper, we propose a discontinuous distributed model-independent algorithm for a directed network of Euler-Lagrange agents to track the trajectory of a leader with nonconstant velocity. We initially study a fixed network and show that the leader tracking objective is achieved semiglobally exponentially fast if the graph contains a directed spanning tree. By model independent, we mean that each agent executes its algorithm with no knowledge of the parameter values of any agent's dynamics. Certain bounds on the agent dynamics (including any disturbances) and network topology information are used to design the control gain. This fact, combined with the algorithm's model independence, results in robustness to disturbances and modeling uncertainties. Next, a continuous approximation of the algorithm is proposed, which achieves practical tracking with an adjustable tracking error. Last, we show that the algorithm is stable for networks that switch with an explicitly computable dwell time. Numerical simulations are given to show the algorithm's effectiveness.
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institution Curtin University Malaysia
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language English
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spelling curtin-20.500.11937-843532022-10-27T05:08:34Z Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm Ye, Mengbin Anderson, B.D.O. Yu, C. Science & Technology Technology Automation & Control Systems Computer Science, Information Systems Computer Science Directed graph distributed algorithm Euler-Lagrange agent model independent switching network tracking SYSTEMS SYNCHRONIZATION CONSENSUS In this paper, we propose a discontinuous distributed model-independent algorithm for a directed network of Euler-Lagrange agents to track the trajectory of a leader with nonconstant velocity. We initially study a fixed network and show that the leader tracking objective is achieved semiglobally exponentially fast if the graph contains a directed spanning tree. By model independent, we mean that each agent executes its algorithm with no knowledge of the parameter values of any agent's dynamics. Certain bounds on the agent dynamics (including any disturbances) and network topology information are used to design the control gain. This fact, combined with the algorithm's model independence, results in robustness to disturbances and modeling uncertainties. Next, a continuous approximation of the algorithm is proposed, which achieves practical tracking with an adjustable tracking error. Last, we show that the algorithm is stable for networks that switch with an explicitly computable dwell time. Numerical simulations are given to show the algorithm's effectiveness. 2019 Journal Article http://hdl.handle.net/20.500.11937/84353 10.1109/TCNS.2018.2856298 English http://purl.org/au-research/grants/arc/DP160104500 IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC fulltext
spellingShingle Science & Technology
Technology
Automation & Control Systems
Computer Science, Information Systems
Computer Science
Directed graph
distributed algorithm
Euler-Lagrange agent
model independent
switching network
tracking
SYSTEMS
SYNCHRONIZATION
CONSENSUS
Ye, Mengbin
Anderson, B.D.O.
Yu, C.
Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm
title Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm
title_full Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm
title_fullStr Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm
title_full_unstemmed Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm
title_short Leader Tracking of Euler-Lagrange Agents on Directed Switching Networks Using a Model-Independent Algorithm
title_sort leader tracking of euler-lagrange agents on directed switching networks using a model-independent algorithm
topic Science & Technology
Technology
Automation & Control Systems
Computer Science, Information Systems
Computer Science
Directed graph
distributed algorithm
Euler-Lagrange agent
model independent
switching network
tracking
SYSTEMS
SYNCHRONIZATION
CONSENSUS
url http://purl.org/au-research/grants/arc/DP160104500
http://hdl.handle.net/20.500.11937/84353