Iterative Learning Control for 2-D linear discrete systems with Roessor's model

2012 ◽  
Author(s):  
Fan Wu ◽  
Xiao-Dong Li
Keyword(s):  
Iterative Learning Control ◽  
Discrete Systems ◽  
Learning Control ◽  
Iterative Learning ◽  
Linear Discrete Systems

scholarly journals Convergence Analysis of Iterative Learning Control for Two Classes of 2-D Linear Discrete Fornasini–Marchesini Model

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Kai Wan
Keyword(s):  
Convergence Analysis ◽  
Iterative Learning Control ◽  
Three Dimensional ◽  
Discrete Systems ◽  
Learning Control ◽  
Iterative Learning ◽  
Linear Matrix ◽  
Direct Transmission ◽  
Learning Gain ◽  
Linear Discrete Systems

This paper first investigates convergent property of two iterative learning control (ILC) laws for two kinds of two-dimensional linear discrete systems described by the first Fornasini–Marchesini model (2-D LDFFM with a direct transmission from inputs to outputs and 2-D LDFFM with input delay). Different from existing ILC results for 2-D LDFFM, this paper provides convergence analysis in a three-dimensional (3-D) framework. By using row scanning approach (RSA) or column scanning approach (CSA), it is theoretically proved no matter which method is adopted, perfect tracking on the desired reference surface is accomplished. In addition, linear matrix inequality (LMI) technique is utilized to computer the learning gain of the ILC controller. The effectiveness and feasibility of the designed ILC law are illustrated through numerical simulation on a practical thermal process.

A New Iterative Learning Control Scheme for Linear Time-varying Discrete Systems

2007 ◽  
Vol 40 (14) ◽  
pp. 279-282 ◽  
Author(s):  
Lukasz Hladowski ◽  
Krzysztof Galkowski ◽  
Eric Rogers ◽  
Paul L. Lewin ◽  
Christopher T. Freeman
Keyword(s):  
Iterative Learning Control ◽  
Linear Time ◽  
Discrete Systems ◽  
Learning Control ◽  
Iterative Learning ◽  
Time Varying ◽  
Control Scheme

Robust Iterative Learning Control for Linear Discrete-Time Switched Systems

2015 ◽  
pp. 543-565
Author(s):  
Ouerfelli Houssem Eddine ◽  
Dridi Jamel ◽  
Ben Attia Selma ◽  
Salhi Salah
Keyword(s):  
Exponential Stability ◽  
Linear Systems ◽  
Iterative Learning Control ◽  
Integrated Design ◽  
Average Dwell Time ◽  
Discrete Systems ◽  
Learning Control ◽  
Iterative Learning ◽  
Switched Linear Systems ◽  
The Given

This chapter aims to study the problem of stability analysis, and robust exponential stabilization for a class of switched linear systems with polytopic uncertainties is reviewed. A sufficient condition based on the average dwell time that guarantees the exponential stability of uncertain switched linear systems is given. First, the iterative learning control is presented to build a formulation ensuring the exponential stability of the given system. The integrated design of this ILC scheme is transformed into a robust control problem of an uncertain 2D Roesser system. The results are obtained through original connection with the notion of stability along the pass for 2D repetitive systems. An overview of the stabilization methods of switched discrete systems found in the literature is outlined. All the given formulations are presented in terms of LMIs. A numerical simulation example is established, showing the effectiveness of the proposed method.

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