Decentralized asymptotic tracking control for time‐varying interconnected nonlinear systems with prescribed performance

This article studies decentralized adaptive asymptotic tracking control of time‐varying interconnected nonlinear systems. To address the obstacles caused by interactions and these unknown time‐varying parameters, a smooth function and a bound estimation approach are introduced. Additionally, by mean...

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Published inInternational journal of robust and nonlinear control Vol. 34; no. 15; pp. 10315 - 10330
Main Authors Li, Yuan‐Yuan, Li, Yuan‐Xin
Format Journal Article
LanguageEnglish
Published Bognor Regis Wiley Subscription Services, Inc 01.10.2024
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Abstract This article studies decentralized adaptive asymptotic tracking control of time‐varying interconnected nonlinear systems. To address the obstacles caused by interactions and these unknown time‐varying parameters, a smooth function and a bound estimation approach are introduced. Additionally, by means of a class of funnel functions and barrier Lyapunov function approach, a prescribed performance control strategy is constructed, allowing tracking accuracy and the settling time to be predetermined in accordance with control requirements, without relying on initial conditions or design parameters. Particularly, reasoned proofs have been given to confirm that the presented control method not only guarantees the prescribed transient performance, but also achieves the asymptotic tracking without requiring knowledge of high‐order derivatives of the reference signal. Ultimately, the efficiency of our approach is verified by simulation results.
AbstractList This article studies decentralized adaptive asymptotic tracking control of time‐varying interconnected nonlinear systems. To address the obstacles caused by interactions and these unknown time‐varying parameters, a smooth function and a bound estimation approach are introduced. Additionally, by means of a class of funnel functions and barrier Lyapunov function approach, a prescribed performance control strategy is constructed, allowing tracking accuracy and the settling time to be predetermined in accordance with control requirements, without relying on initial conditions or design parameters. Particularly, reasoned proofs have been given to confirm that the presented control method not only guarantees the prescribed transient performance, but also achieves the asymptotic tracking without requiring knowledge of high‐order derivatives of the reference signal. Ultimately, the efficiency of our approach is verified by simulation results.
Author Li, Yuan‐Xin
Li, Yuan‐Yuan
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Snippet This article studies decentralized adaptive asymptotic tracking control of time‐varying interconnected nonlinear systems. To address the obstacles caused by...
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SubjectTerms Adaptive control
Adaptive systems
Asymptotic methods
Asymptotic properties
asymptotic tracking
Control methods
decentralized control
Design parameters
Initial conditions
interconnected nonlinear systems
Liapunov functions
Nonlinear control
Nonlinear systems
Parameter estimation
prescribed performance
Reference signals
time‐varying systems
Tracking control
Transient performance
Title Decentralized asymptotic tracking control for time‐varying interconnected nonlinear systems with prescribed performance
URI https://onlinelibrary.wiley.com/doi/abs/10.1002%2Frnc.7518
https://www.proquest.com/docview/3119080494
Volume 34
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