RESEARCH ARTICLE
The Disturbance Rejection Control of Fractional-Order System
Ying Guo,
Chong Lin,
Corresponding Author
Ying Guo
School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, Shandong, P.R. China
Correspondence:
Ying Guo ([email protected])
Contribution: Writing - original draft, Conceptualization, Investigation, Validation, Visualization, Software, Project administration, Data curation, Supervision, Resources, Methodology, Funding acquisition, Writing - review & editing, Formal analysis
Search for more papers by this authorChong Lin
Institute of Complexity Science, Qingdao University, Qingdao, Shandong, P.R. China
Contribution: Conceptualization, Methodology, Software, Data curation, Formal analysis, Project administration, Supervision, Investigation, Funding acquisition, Writing - original draft, Writing - review & editing, Visualization, Validation, Resources
Search for more papers by this authorYing Guo,
Chong Lin,
Corresponding Author
Ying Guo
School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, Shandong, P.R. China
Correspondence:
Ying Guo ([email protected])
Contribution: Writing - original draft, Conceptualization, Investigation, Validation, Visualization, Software, Project administration, Data curation, Supervision, Resources, Methodology, Funding acquisition, Writing - review & editing, Formal analysis
Search for more papers by this authorChong Lin
Institute of Complexity Science, Qingdao University, Qingdao, Shandong, P.R. China
Contribution: Conceptualization, Methodology, Software, Data curation, Formal analysis, Project administration, Supervision, Investigation, Funding acquisition, Writing - original draft, Writing - review & editing, Visualization, Validation, Resources
Search for more papers by this authorFunding: This research was supported by the National Natural Science Foundation of China (6247329), the National Natural Science Foundation of Shandong Province (ZR2022MA081), and the Project of Teaching Reform of Shandong Province (M2023306).
ABSTRACT
This paper studies the problem of disturbance rejection control for fractional-order systems. Firstly, based on the idea of equivalent input interference and the stability criterion of fractional-order system, we present sufficient conditions for the disturbance rejection control of fractional-order system with order , which overcome the limitation that the existing conditions are only sufficient. Secondly, for fractional-order systems with order , necessary and sufficient conditions for disturbance rejection stabilization of the system are given, and the sufficient condition does not limit the structure of the matrix, which reduces to some extent the conservation of the existing conclusions. Finally, numerical illustrations are reported to show the effectiveness of the results.
Conflicts of Interest
The authors declare no conflicts of interest.
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