<abstract xmlns="http://www.w3.org/1999/xhtml"><p>This paper proposes a methodology for observer-based fault estimation of leader-following linear multi-agent systems subject to actuator faults. First, a proportional-integral distributed fault estimation observer is developed to estimate both actuator faults and states of each follower agent by considering directed and undirected graph topologies. Second, based on the proposed quadratic Lyapunov equation, sufficient conditions for the asymptotic convergence of the observer are obtained as a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the proposed approach.</p></abstract>

This paper proposes a methodology for observer-based fault estimation of leader-following linear multi-agent systems subject to actuator faults. First, a proportional-integral distributed fault estimation observer is developed to estimate both actuator faults and states of each follower agent by considering directed and undirected graph topologies. Second, based on the proposed quadratic Lyapunov equation, sufficient conditions for the asymptotic convergence of the observer are obtained as a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the proposed approach.

Distributed Fault Estimation of Multi–Agent Systems Using a Proportional–Integral Observer: A Leader–Following Application

University of Evry—Paris-Saclay University

IT Hermosillo, National Technological Institute of Mexico

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This paper proposes a methodology for observer-based fault estimation of leader-following linear multi-agent systems subject to actuator faults. First, a...

Distributed Fault Estimation of Multi–Agent Systems Using a Proportional–Integral Observer: A Leader–Following Application

Published Online: Sep 29, 2020

Page range: 551 - 560

Received: Nov 06, 2019

Accepted: May 21, 2020

DOI: https://doi.org/10.34768/amcs-2020-0040

Keywords
multiagent systems, fault estimation, state and fault observers, linear matrix inequalities

© 2020 Beltrán Farrera et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Distributed Fault Estimation of Multi–Agent Systems Using a Proportional–Integral Observer: A Leader–Following Application

Published Online: Sep 29, 2020

Page range: 551 - 560

Received: Nov 06, 2019

Accepted: May 21, 2020

DOI: https://doi.org/10.34768/amcs-2020-0040

Keywordsmultiagent systems, fault estimation, state and fault observers, linear matrix inequalities

© 2020 Beltrán Farrera et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
multiagent systems, fault estimation, state and fault observers, linear matrix inequalities