https://doi.org/10.1140/epjs/s11734-024-01217-z
Regular Article
Non-fragile tracking controller design for fractional order systems against active disturbance rejection
1
Department of Mathematics, Hindusthan Institute of Technology, 641032, Coimbatore, India
2
Department of Mathematics, Kongu Engineering College, 638060, Erode, India
3
Department of Mathematics, Maejo University, 50290, Chiang Mai, Thailand
4
School of Electronic and Electrical Engineering, Kyungpook National University, 41566, Daegu, Republic of Korea
Received:
3
April
2024
Accepted:
14
June
2024
Published online:
10
July
2024
In this work, a new non-fragile based tracking controller design for fractional order systems with non-linear uncertainty, unidentified external disturbances, and time-delay is investigated. A novel structure of a fractional order non-fragile repetitive controller is suggested to obtain the tracking performance for the addressed system. In particular, gain fluctuations are used with an improved two-degrees-of-freedom Smith predictor in the construction of this structure. Using the Lyapunov–Krasovskii stability theory and a continuous amplitude distributed equivalent system, a new set of criteria to determine the asymptotic stability of the associated closed-loop system is proposed in the context of linear matrix inequalities. Within a single framework, disturbance estimation, asymptotic tracking, and time delay compensation are all done using the obtained stability results. The resulting theoretical results are finally confirmed by numerical examples that demonstrate how the specified constraints could lead the system output to precisely match any defined reference signal by balancing for the unidentified exterior disturbance.
Copyright comment 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.
© 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.
