https://doi.org/10.1140/epjs/s11734-024-01419-5
Regular Article
Design of functional estimation-based controller for the stabilization of time-delayed systems
1
Department of Mathematics, School of Advanced Sciences, VIT University, 600127, Chennai, India
2
Institute of Actuarial Science and Data Analytics, UCSI University, 56000, Cheras, Kuala Lumpur, Malaysia
3
Department of Applied Mathematics, Bharathiar University, 641046, Coimbatore, India
Received:
11
May
2024
Accepted:
14
November
2024
Published online:
2
December
2024
This research delves in addressing the stabilization challenge in linear time-varying delayed systems through the utilization of functional observers (FOs) in feedback control. More precisely, a linear function or functions of the system states are estimated, driven by the available system inputs and outputs. Instead of using traditional methods that estimate the complete set of states, this strategic inclusion enables the estimation of certain functions of the states. The benefit of this novel approach is that it does not require the observed system to be observable. We define stability conditions in terms of linear matrix inequalities, based on the Lyapunov theory. The gain matrices are taken into consideration based on predetermined standards. Finally, we provide numerical illustrations and simulation outcomes to showcase the feasibility and efficiency of our proposed control approach.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
