Design and analysis for uncertain repetitive control systems with unknown disturbances

[+] Author and Article Information
Rathinasamy Sakthivel

Department of Mathematics, Bharathiar University, Coimbatore- 641046, India and Department of Mathematics, Sungkyunkwan University, Suwon 440-746, South Korea

K Raajananthini

Department of Mathematics, Anna University-Regional Campus, Coimbatore- 641046, India

P Selvaraj

Department of Mathematics, Anna University-Regional Campus, Coimbatore- 641046, India

Yong Ren

Department of Mathematics, Anhui Normal University, Wuhu 241000, China

1Corresponding author.

ASME doi:10.1115/1.4040663 History: Received April 15, 2017; Revised June 20, 2018


In this paper, the periodic tracking problem is considered for a class of continuous system with uncertainty, time-varying delay and unknown bounded external disturbances. To be precise, in order to attenuate the unknown disturbance effectively, the equivalent-input-disturbance (EID) approach is incorporated into the developed algorithm. Then, the sufficient conditions that guarantee the asymptotic tracking performance of the system understudy are established based on the Lyapunov stability theorem. More precisely, Schur complement and free-weighting matrix approach are utilized to derive the main results. Moreover, the proposed EID-based modified repetitive controller not only reject the unknown external disturbance but also deal with the dead zone effect. Finally, two simulation examples are presented to verify the superiority of the proposed EID based repetitive controller over the conventional repetitive controller.

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