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Article

ILC with Initial State Learning for Fractional Order Linear Distributed Parameter Systems

School of Information Engineering, Xiangtan University, Xiangtan 411105, China
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Algorithms 2018, 11(6), 85; https://doi.org/10.3390/a11060085
Received: 21 April 2018 / Revised: 8 June 2018 / Accepted: 9 June 2018 / Published: 14 June 2018
This paper presents a second order P-type iterative learning control (ILC) scheme with initial state learning for a class of fractional order linear distributed parameter systems. First, by analyzing the control and learning processes, a discrete system for P-type ILC is established, and the ILC design problem is then converted to a stability problem for such a discrete system. Next, a sufficient condition for the convergence of the control input and the tracking errors is obtained by introducing a new norm and using the generalized Gronwall inequality, which is less conservative than the existing one. Finally, the validity of the proposed method is verified by a numerical example. View Full-Text
Keywords: iterative learning control (ILC); fractional order; distributed parameter system; generalized gronwall inequality iterative learning control (ILC); fractional order; distributed parameter system; generalized gronwall inequality
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MDPI and ACS Style

Lan, Y.-H.; Cui, Z.-M. ILC with Initial State Learning for Fractional Order Linear Distributed Parameter Systems. Algorithms 2018, 11, 85. https://doi.org/10.3390/a11060085

AMA Style

Lan Y-H, Cui Z-M. ILC with Initial State Learning for Fractional Order Linear Distributed Parameter Systems. Algorithms. 2018; 11(6):85. https://doi.org/10.3390/a11060085

Chicago/Turabian Style

Lan, Yong-Hong, and Zhe-Min Cui. 2018. "ILC with Initial State Learning for Fractional Order Linear Distributed Parameter Systems" Algorithms 11, no. 6: 85. https://doi.org/10.3390/a11060085

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