Disturbance-decoupled control synthesis for conformable fractional-order linear systems: A geometric approach
Saved in:
| Title: | Disturbance-decoupled control synthesis for conformable fractional-order linear systems: A geometric approach |
|---|---|
| Authors: | Abbasi Nozari H., Sadati Rostami S. J., Castaldi P. |
| Source: | Transactions of the Institute of Measurement and Control. 47:647-662 |
| Publisher Information: | SAGE Publications, 2024. |
| Publication Year: | 2024 |
| Subject Terms: | 0209 industrial biotechnology, 02 engineering and technology, 0101 mathematics, 01 natural sciences, Disturbance decoupling, invariant subspace, conformable derivative, conformable fractional-order system, stability |
| Description: | This paper investigates the theoretical requirements for conformable fractional-order linear systems to satisfy the fundamental principles of invariant subspaces, which are the foundation of geometric control theory, for the first time. The problem of exact disturbance decoupling in conformable fractional linear systems is tackled using newly developed geometric tools. Moreover, a set of necessary and sufficient conditions has been established to address this problem, which, at the same time, stabilizes the compensated system for any initial condition in the presence of unknown disturbances. We also show that employing the conformable fractional model as a synthesis model for geometric geometric decoupling control provides a better understanding of the structural system-theoretic characteristics of fractional systems, while upholding the fundamental properties of integer systems. To illustrate the applicability and effectiveness of the theoretical findings, two numerical simulations, including an application to an active suspension system, were carried out and compared with those of the Caputo derivative. |
| Document Type: | Article |
| File Description: | application/pdf |
| Language: | English |
| ISSN: | 1477-0369 0142-3312 |
| DOI: | 10.1177/01423312241254878 |
| Rights: | URL: https://journals.sagepub.com/page/policies/text-and-data-mining-license |
| Accession Number: | edsair.doi.dedup.....6d446ac7a325ae468f37df57cf4b88b9 |
| Database: | OpenAIRE |
Nájsť tento článok vo Web of Science | Abstract: | This paper investigates the theoretical requirements for conformable fractional-order linear systems to satisfy the fundamental principles of invariant subspaces, which are the foundation of geometric control theory, for the first time. The problem of exact disturbance decoupling in conformable fractional linear systems is tackled using newly developed geometric tools. Moreover, a set of necessary and sufficient conditions has been established to address this problem, which, at the same time, stabilizes the compensated system for any initial condition in the presence of unknown disturbances. We also show that employing the conformable fractional model as a synthesis model for geometric geometric decoupling control provides a better understanding of the structural system-theoretic characteristics of fractional systems, while upholding the fundamental properties of integer systems. To illustrate the applicability and effectiveness of the theoretical findings, two numerical simulations, including an application to an active suspension system, were carried out and compared with those of the Caputo derivative. |
|---|---|
| ISSN: | 14770369 01423312 |
| DOI: | 10.1177/01423312241254878 |