Almost output regulation for switched linear systems with bumpless transfer control under destabilizing behaviors

Lili Li, Mingzhe Ju, Ying Zhao and Tianhe Liu

Applied Mathematics and Computation, 2022, vol. 412, issue C

Abstract: Almost output regulation for switched linear systems with destabilizing behaviors, which means that the almost output regulation problems of all subsystems are unsolvable and some switching instants are unstable with finite increments of the Lyapunov function, is investigated based on the bumpless transfer control. Switching instants with decrements and increments of the Lyapunov function are described as stable and unstable switching instants respectively. Firstly, a hybrid average dwell time strategy is proposed to restrict the occurrence ratio of unstable/stable switching instants and reasonably arranges the number of stable switching instants to offset the increment of the Lyapunov function caused by unstable switching instants and insolvabilities of the involved problem for all subsystems. Then, by interpolating the gains of adjacent controllers within the minimum dwell time, a dynamic error feedback controller with bumpless transfer property is designed to suppress the control bumps induced by controller switchings. Finally, a numerical example is given to demonstrate the effectiveness of the proposed method.

Keywords: Switched systems; Hybrid average dwell time; Destabilizing behaviors; Bumpless transfer control; Almost output regulation (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300321006627
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:412:y:2022:i:c:s0096300321006627

DOI: 10.1016/j.amc.2021.126578

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().