Open AccessTechnical report: PID design of second‐order non‐linear uncertain systems with fractional order operations
Author(s) -
Chen Song,
Chen Tehuan,
Xu Chao,
Chu Jian
Publication year - 2021
Publication title -
iet cyber‐systems and robotics
Language(s) - English
Resource type - Journals
ISSN - 2631-6315
DOI - 10.1049/csy2.12027
Subject(s) - pid controller , control theory (sociology) , order (exchange) , stability (learning theory) , fractional calculus , linear control systems , control system , computer science , linear system , control (management) , mathematics , control engineering , engineering , temperature control , economics , mathematical analysis , electrical engineering , finance , artificial intelligence , machine learning
This study considers a control problem related to the regulation of fractional‐order systems controlled by fractional order proportional‐integral‐derivative controllers ( PI λ D μ ). The stability result of PI λ D μ ‐based control systems is provided, such that the closed‐loop systems can accomplish global stabilisation under some suitable conditions related to the system uncertainties. Finally, a simulation is demonstrated to verify the results.