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Funnel Control for a Class of High-Order Nonlinear Systems

Authors:
Yong-Hua Liu
Chun-Yi Su

Keywords: nonlinear systems; output tracking; funnel control; unstabilizable linearization.

Abstract:
This paper addresses the problem of funnel output tracking control for a class of unknown high-order nonlinear systems with state feedbacks, which requires to achieve output tracking with prescribed accuracy when both the system nonlinearities and the powers of the system are unknown. Therefore, a robust funnel control algorithm, i.e., a continuous, static, universal, state-feedback controller is explicitly constructed, which ensures that the state errors evolve within the predesigned performance space. The advantages of the proposed funnel output tracking controller when compared with the current approaches lie in the fact that no {it a priori} knowledge of system nonlinearities, including generally required bounding functions, is needed. Furthermore, all the powers in each high-order subsystem are not required to be known as well. A simulation example is provided to demonstrate the effectiveness of the proposed algorithm.

Pages: 72 to 74

Copyright: Copyright (c) IARIA, 2019

Publication date: June 2, 2019

Published in: conference

ISSN: 2308-3913

ISBN: 978-1-61208-712-2

Location: Athens, Greece

Dates: from June 2, 2019 to June 6, 2019