Time-varying Formation Tracking for Second-order Multi-agent Systems Subjected to Switching Topology and Input Saturation

This paper addresses the problem of time-varying formation tracking for a kind of second-order multi-agent systems with a switching topology, in which the dynamics of agents are modeled by double integrators and harmonic oscillators respectively. The control input of each agent is subject to saturat...

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Published inInternational journal of control, automation, and systems Vol. 18; no. 4; pp. 991 - 1001
Main Authors Liu, Jing, Fang, Jian-an, Li, Zhen, He, Guang
Format Journal Article
LanguageEnglish
Published Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.04.2020
Springer Nature B.V
제어·로봇·시스템학회
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Abstract This paper addresses the problem of time-varying formation tracking for a kind of second-order multi-agent systems with a switching topology, in which the dynamics of agents are modeled by double integrators and harmonic oscillators respectively. The control input of each agent is subject to saturation. First, depending on the low-gain state feedback technique, an algorithm is designed to solve semi-global time-varying formation tracking problem, where feasibility condition of formation tracking is introduced. Then, by utilizing the Lyapunov function and low-gain feedback theory, it is proved that second-order multi-agent system with a switching topology achieves the specified semi-global time-varying formation tracking if some sufficient conditions hold. Further, as an extension, jointly connected switching topology is considered, and the corresponding formation tracking problem is also explored. Subsequently, several simulation examples is worked out for illustration.
AbstractList This paper addresses the problem of time-varying formation tracking for a kind of second-order multi-agent systems with a switching topology, in which the dynamics of agents are modeled by double integrators and harmonic oscillators respectively. The control input of each agent is subject to saturation. First, depending on the low-gain state feedback technique, an algorithm is designed to solve semi-global time-varying formation tracking problem, where feasibility condition of formation tracking is introduced. Then, by utilizing the Lyapunov function and low-gain feedback theory, it is proved that second-order multi-agent system with a switching topology achieves the specified semi-global time-varying formation tracking if some sufficient conditions hold. Further, as an extension, jointly connected switching topology is considered, and the corresponding formation tracking problem is also explored. Subsequently, several simulation examples is worked out for illustration.
This paper addresses the problem of time-varying formation tracking for a kind of second-order multiagent systems with a switching topology, in which the dynamics of agents are modeled by double integrators and harmonic oscillators respectively. The control input of each agent is subject to saturation. First, depending on the low-gain state feedback technique, an algorithm is designed to solve semi-global time-varying formation tracking problem, where feasibility condition of formation tracking is introduced. Then, by utilizing the Lyapunov function and low-gain feedback theory, it is proved that second-order multi-agent system with a switching topology achieves the specified semi-global time-varying formation tracking if some sufficient conditions hold. Further, as an extension, jointly connected switching topology is considered, and the corresponding formation tracking problem is also explored. Subsequently, several simulation examples is worked out for illustration. KCI Citation Count: 19
Author He, Guang
Li, Zhen
Liu, Jing
Fang, Jian-an
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Keywords second-order multi-agent systems
Formation tracking control
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input saturation
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Snippet This paper addresses the problem of time-varying formation tracking for a kind of second-order multi-agent systems with a switching topology, in which the...
This paper addresses the problem of time-varying formation tracking for a kind of second-order multiagent systems with a switching topology, in which the...
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SubjectTerms Algorithms
Computer simulation
Control
Double integrators
Engineering
Harmonic oscillators
Integrators
Liapunov functions
Mechatronics
Multiagent systems
Robotics
Saturation
State feedback
Switching
Topology
Tracking problem
제어계측공학
Title Time-varying Formation Tracking for Second-order Multi-agent Systems Subjected to Switching Topology and Input Saturation
URI https://link.springer.com/article/10.1007/s12555-019-0473-y
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Volume 18
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