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

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 des...

Full description

Bibliographic Details
Main Authors: Yong-Hong Lan, Zhe-Min Cui
Format: Article
Language:English
Published: MDPI AG 2018-06-01
Series:Algorithms
Subjects:
Online Access:http://www.mdpi.com/1999-4893/11/6/85
Description
Summary: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.
ISSN:1999-4893