Stabilization of linear systems cascaded with a chain of infinite-delayed integrators
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.
|WOS Research Area|
Automation & Control Systems ; Engineering
Automation & Control Systems ; Engineering, Electrical & Electronic
|WOS Accession No|
|ESI Research Field|
Cited Times [WOS]:0
|Document Type||Journal Article|
|Department||School of System Design and Intelligent Manufacturing|
School of System Design and Intelligent Manufacturing,Southern University of Science and Technology,China
|First Author Affilication||School of System Design and Intelligent Manufacturing|
|First Author's First Affilication||School of System Design and Intelligent Manufacturing|
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).
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