Second-order P-type iterative learning control for fractional order non-linear time-delay systems
by Yong-Hong Lan; Xiao Liu
International Journal of Computational Science and Engineering (IJCSE), Vol. 13, No. 1, 2016

Abstract: This paper presents a second-order P-type iterative learning control (ILC) scheme for a class of fractional-order non-linear time-delay systems with fractional order α (0 ≤ α < 1). First, by analysing the control and learning processes, a discrete system for P-type ILC is established and the ILC design problem is then converted to a stabilisation problem for such a discrete system. Next, by introducing the (Λ, ξ)-norm and using a generalised Gronwall-Bellman lemma, the sufficient condition for the convergence of the control input and the tracking errors is obtained. Finally, the validity of the method is verified by a numerical example.

Online publication date: Thu, 14-Jul-2016

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