Iterative learning control for noninstantaneous impulsive fractional-order systems with varying trial lengths

2018 ◽  
Vol 28 (18) ◽  
pp. 6202-6238 ◽  
Author(s):  
Shengda Liu ◽  
JinRong Wang ◽  
Dong Shen ◽  
D. O'Regan
Keyword(s):  
Fractional Order ◽  
Iterative Learning Control ◽  
Learning Control ◽  
Iterative Learning ◽  
Fractional Order Systems

Robust adaptive sliding mode control combination with iterative learning technique to output tracking of fractional-order systems

2017 ◽  
Vol 40 (6) ◽  
pp. 1808-1818 ◽  
Author(s):  
Ehsan Ghotb Razmjou ◽  
Seyed Kamal Hosseini Sani ◽  
Jalil Sadati
Keyword(s):  
Fractional Order ◽  
Iterative Learning Control ◽  
Sliding Mode ◽  
External Disturbance ◽  
Learning Control ◽  
Iterative Learning ◽  
Adaptive Sliding Mode Control ◽  
Order System ◽  
Control Input ◽  
Fractional Order Systems

This paper develops a novel controller called adaptive iterative learning sliding mode (AILSM) to control linear and nonlinear fractional-order systems. This controller applies a hybrid structure of adaptive and iterative learning control in to sliding mode method. It can switch between both adaptive and iterative learning control in order to use the advantages of both controllers simultaneously and therefore achieve better control performance. This controller is designed in a way to be robust against the external disturbance. It also estimates unknown parameters of fractional-order system. The proposed controller, unlike the conventional iterative learning control, does not need to apply direct control input to output of the system. It is shown that the controller performs well in partial and complete observable conditions. Illustrative examples verify the performance of the proposed control in presence of unknown disturbances and model uncertainties.

scholarly journals Iterative Learning Control for Fractional order Nonlinear System with Initial Shift

2021 ◽  
Author(s):  
Zhou Fengyu ◽  
Wang Yugang
Keyword(s):  
Fractional Order ◽  
Iterative Learning Control ◽  
Closed Loop ◽  
Learning Control ◽  
Iterative Learning ◽  
Fractional Order Systems ◽  
Tracking Errors ◽  
Fractional System ◽  
The Time Domain ◽  
Fractional Order Nonlinear System

Abstract In this study, a closed-loop Dα -type iterative learning control(ILC) with a proportional D-type iterative learning updating law for the initial shift is applied to nonlinear conformable fractional system. First, the system with the initial shift is introduced. Then, fractional-order ILC (FOILC) frameworks that experience the initial shift problem for the path-tracking of nonlinear conformable fractional order systems are addressed. Moreover, the sufficient condition for the convergence of tracking errors is obtained in the time domain by introducing λ -norm and Hölder’s inequality. Lastly, numerical examples are provided to illustrate the effectiveness of the proposed methods.

scholarly journals Fractional-order iterative learning control for singular fractional- order system: (P) - PDa type

2016 ◽  
Vol 66 (3) ◽  
pp. 40-49 ◽  
Author(s):  
Mihailo Lazarevic ◽  
Nikola Djurovic ◽  
Bosko Cvetkovic ◽  
Petar Mandic ◽  
Ljubisa Bucanovic
Keyword(s):  
Fractional Order ◽  
Iterative Learning Control ◽  
Learning Control ◽  
Iterative Learning ◽  
Fractional Order System ◽  
Order System ◽  
System P

scholarly journals Design and Analysis of Fractional Order PD α -Type Iterative Learning Control

2017 ◽  
Vol 50 (1) ◽  
pp. 8077-8083 ◽  
Author(s):  
Yang Zhao ◽  
Fengyu Zhou ◽  
Da Wang ◽  
Yan Li
Keyword(s):  
Fractional Order ◽  
Iterative Learning Control ◽  
Learning Control ◽  
Iterative Learning
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