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 (MRC) not only rejects the unknown external disturbance but also deals 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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December 2018
Research-Article
Design and Analysis for Uncertain Repetitive Control Systems With Unknown Disturbances
R. Sakthivel,
R. Sakthivel
Department of Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel@yahoo.com
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel@yahoo.com
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K. Raajananthini,
K. Raajananthini
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: rjnanthini@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: rjnanthini@gmail.com
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P. Selvaraj,
P. Selvaraj
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
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Y. Ren
Y. Ren
Search for other works by this author on:
R. Sakthivel
Department of Mathematics,
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel@yahoo.com
Bharathiar University,
Coimbatore 641046, India
e-mail: krsakthivel@yahoo.com
K. Raajananthini
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: rjnanthini@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: rjnanthini@gmail.com
P. Selvaraj
Department of Mathematics,
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Anna University-Regional Campus,
Coimbatore 641046, India
e-mail: selvamath89@gmail.com
Y. Ren
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received April 15, 2017; final manuscript received June 20, 2018; published online July 23, 2018. Assoc. Editor: Ming Xin.
J. Dyn. Sys., Meas., Control. Dec 2018, 140(12): 121007 (10 pages)
Published Online: July 23, 2018
Article history
Received:
April 15, 2017
Revised:
June 20, 2018
Citation
Sakthivel, R., Raajananthini, K., Selvaraj, P., and Ren, Y. (July 23, 2018). "Design and Analysis for Uncertain Repetitive Control Systems With Unknown Disturbances." ASME. J. Dyn. Sys., Meas., Control. December 2018; 140(12): 121007. https://doi.org/10.1115/1.4040663
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