A predefined time decentralized adaptive tracking control method for interconnected nonlinear systems

Author:

Song Chang1,Sun Haibin1,Hou Linlin2ORCID

Affiliation:

1. College of Engineering Qufu Normal University Rizhao China

2. School of Computer Science Qufu Normal University Rizhao China

Abstract

SummaryIn this paper, the problem of predefined time adaptive decentralized tracking control for a class of interconnected nonlinear systems is investigated. Firstly, a time‐varying constraint function is introduced to convert the tracking control problem into one with a constraint on tracking error, which can successfully remove the restriction of initial conditions. Secondly, the asymmetric constraint requirements on tracking error are achieved via defining a novel coordinate transformation function. Then, based on the proposed constraint function and the backstepping method, a decentralized adaptive controller is constructed. Furthermore, it is proved that all signals of the closed‐loop system are globally uniformly ultimately bounded (GUUB) via Lyapunov stability theory. Finally, the effectiveness of the proposed scheme is confirmed by two simulation examples.

Funder

National Natural Science Foundation of China

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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