Technical report: PID design of second‐order non‐linear uncertain systems with fractional order operations. Issue 4 (2nd August 2021)

• Record Type: Journal Article
• Authors: Chen, Song; Chen, Tehuan; Xu, Chao; Chu, Jian
• Other Names: Zhang Yu guestEditor.; Gao Fei guestEditor.; Sun Yuxiang guestEditor.; Hovakimyan Naira guestEditor.; Fang Zheng guestEditor.
• Is Part Of: IET cyber-systems and robotics. Volume 3:Issue 4(2021)
• Page Start: 343
• Page End: 346
• Publication Date: 2021-08-02
• Subjects: stability -- three‐term control -- PI control -- closed loop systems -- uncertain systems -- control system synthesis -- nonlinear control systems; Robotics -- Periodicals; Cybernetics -- Periodicals; Cybernetics; Robotics; Periodicals; 629
• DOI: 10.1049/csy2.12027
• Languages: English
• ISSNs: 2631-6315

Abstract

Abstract: 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.