Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems

This paper investigates the cooperative tracking control problem for networked uncertain Lagrange systems with a leader-follower structure on digraphs. Since the leader’s information is only available to a portion of the followers, finite-time observers are designed to estimate the leader’s velocity...

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Main Authors: Gang Chen, Qing Lin
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/135690
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author Gang Chen
Qing Lin
author_facet Gang Chen
Qing Lin
author_sort Gang Chen
collection DOAJ
description This paper investigates the cooperative tracking control problem for networked uncertain Lagrange systems with a leader-follower structure on digraphs. Since the leader’s information is only available to a portion of the followers, finite-time observers are designed to estimate the leader’s velocity. Based on the estimated velocity information and the universal approximation ability of fuzzy logic systems, a distributed adaptive fuzzy tracking control protocol is first proposed for the fault-free Lagrange systems. Then, the actuator faults are considered and a distributed fault-tolerant controller is presented. Based on graph theory and Lyapunov theory, the convergence analyses for the proposed algorithms are provided. The development in this paper is suitable for the general directed communication topology. Numerical simulation results are presented to show the closed-loop performance of the proposed control law and illustrate its robustness to actuator faults and external disturbances.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-0b8b7a1922be42abb85cc7a8a98857bc2025-08-20T03:54:19ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/135690135690Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange SystemsGang Chen0Qing Lin1College of Automation, Chongqing University, Chongqing 400044, ChinaCollege of Automation, Chongqing University, Chongqing 400044, ChinaThis paper investigates the cooperative tracking control problem for networked uncertain Lagrange systems with a leader-follower structure on digraphs. Since the leader’s information is only available to a portion of the followers, finite-time observers are designed to estimate the leader’s velocity. Based on the estimated velocity information and the universal approximation ability of fuzzy logic systems, a distributed adaptive fuzzy tracking control protocol is first proposed for the fault-free Lagrange systems. Then, the actuator faults are considered and a distributed fault-tolerant controller is presented. Based on graph theory and Lyapunov theory, the convergence analyses for the proposed algorithms are provided. The development in this paper is suitable for the general directed communication topology. Numerical simulation results are presented to show the closed-loop performance of the proposed control law and illustrate its robustness to actuator faults and external disturbances.http://dx.doi.org/10.1155/2014/135690
spellingShingle Gang Chen
Qing Lin
Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
Abstract and Applied Analysis
title Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
title_full Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
title_fullStr Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
title_full_unstemmed Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
title_short Finite-Time Observer Based Cooperative Tracking Control of Networked Lagrange Systems
title_sort finite time observer based cooperative tracking control of networked lagrange systems
url http://dx.doi.org/10.1155/2014/135690
work_keys_str_mv AT gangchen finitetimeobserverbasedcooperativetrackingcontrolofnetworkedlagrangesystems
AT qinglin finitetimeobserverbasedcooperativetrackingcontrolofnetworkedlagrangesystems