Event-Triggered Saturated Adaptive Iterative Learning Control of Nonlinear Fractional-Order Multi-Agent Systems

This paper studies the event-triggered saturated adaptive iterative learning control (ETSAILC) problem for the fractional-order multi-agent systems (FOMASs) subject to the local Lipschitz nonlinearities and the input saturation. First, a event-triggered mechanism is proposed to ensure that events oc...

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Published inIEEE access Vol. 11; p. 1
Main Authors Liu, Yusen, Wang, Liming
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 01.01.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
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ISSN2169-3536
2169-3536
DOI10.1109/ACCESS.2023.3295827

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Abstract This paper studies the event-triggered saturated adaptive iterative learning control (ETSAILC) problem for the fractional-order multi-agent systems (FOMASs) subject to the local Lipschitz nonlinearities and the input saturation. First, a event-triggered mechanism is proposed to ensure that events occur along an iteration axis, and all follower agents synchronously broadcast their states at each triggering iteration step, receive and restore the information from their neighbors. Next, the ETSAILC protocol is designed and the event-triggered condition is presented. Then, the composite energy function (CEF) with the form of fractional-order integral is constructed and is utilized for the convergence analysis of iterative learning process, thereby the boundedness of closed-loop signals is proved and a sufficient condition guaranteeing the perfect consensus is obtained. It is for the first time to extend the CEF method into the field of fractional-order systems. Finally, compared with the existing consensus protocols, simulations demonstrate that the proposed controller can effectively handle the local Lipschitz nonlinearities and the input saturation and obtain the perfect control of consensus. Meanwhile, the number of control input update and the amount of transmitted information are obviously reduced.
AbstractList This paper studies the event-triggered saturated adaptive iterative learning control (ETSAILC) problem for the fractional-order multi-agent systems (FOMASs) subject to the local Lipschitz nonlinearities and the input saturation. First, a event-triggered mechanism is proposed to ensure that events occur along an iteration axis, and all follower agents synchronously broadcast their states at each triggering iteration step, receive and restore the information from their neighbors. Next, the ETSAILC protocol is designed and the event-triggered condition is presented. Then, the composite energy function (CEF) with the form of fractional-order integral is constructed and is utilized for the convergence analysis of iterative learning process, thereby the boundedness of closed-loop signals is proved and a sufficient condition guaranteeing the perfect consensus is obtained. It is for the first time to extend the CEF method into the field of fractional-order systems. Finally, compared with the existing consensus protocols, simulations demonstrate that the proposed controller can effectively handle the local Lipschitz nonlinearities and the input saturation and obtain the perfect control of consensus. Meanwhile, the number of control input update and the amount of transmitted information are obviously reduced.
Author Wang, Liming
Liu, Yusen
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Snippet This paper studies the event-triggered saturated adaptive iterative learning control (ETSAILC) problem for the fractional-order multi-agent systems (FOMASs)...
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SubjectTerms Adaptive control
Closed loops
Consensus protocol
Convergence
Event-triggered control
fractional-order multi-agent systems
input saturation
Iterative learning control
Learning
local Lipschitz nonlinearities
Multi-agent systems
Multiagent systems
Nonlinear control
Nonlinearity
perfect tracking of consensus
Process control
Stability analysis
Topology
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Title Event-Triggered Saturated Adaptive Iterative Learning Control of Nonlinear Fractional-Order Multi-Agent Systems
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