Stabilization of linear systems cascaded with a chain of infinite-delayed integrators

Xu，Xiang

2023-06-01

10.1016/j.automatica.2023.110986

AUTOMATICA   影响因子和分区

0005-1098

1873-2836

This paper considers stabilization of linear systems cascaded with a chain of infinite-delayed integrators. Distributed infinite input delay is also taken into consideration. The systems under consideration can be seen as a special class of linear strict-feedback systems with infinite delays. A novel predictor feedback controller is proposed via an n-step backstepping procedure. The Lyapunov theorem developed for infinite-delayed systems in our previous work is applied. It is shown that the proposed controller can globally stabilize the concerned systems. To our best knowledge, it is a first work on control of systems with simultaneous distributed infinite state and input delays. A simulation example is provided to illustrate the effectiveness of our controller.

SCI ; EI

英语

第一

SUSTech["Y01966116","Y01966216"]

Automation & Control Systems ; Engineering

Automation & Control Systems ; Engineering, Electrical & Electronic

WOS:000954973500001

PERGAMON-ELSEVIER SCIENCE LTD

20231213776319

Backstepping ; Controllers ; Feedback control ; Stabilization

Control Systems:731.1 ; Control Equipment:732.1 ; Mathematics:921 ; Systems Science:961

ENGINEERING

2-s2.0-85150353228

Scopus

School of System Design and Intelligent Manufacturing,Southern University of Science and Technology,China

Xu，Xiang. Stabilization of linear systems cascaded with a chain of infinite-delayed integrators[J]. AUTOMATICA,2023,152.

Xu，Xiang.(2023).Stabilization of linear systems cascaded with a chain of infinite-delayed integrators.AUTOMATICA,152.

Xu，Xiang."Stabilization of linear systems cascaded with a chain of infinite-delayed integrators".AUTOMATICA 152(2023).