Premium
Iterative learning control for one‐sided Lipschitz nonlinear singular conformable differential equations
Author(s) -
Wang Xiaowen,
Wang JinRong
Publication year - 2020
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.5191
Subject(s) - lipschitz continuity , conformable matrix , iterative learning control , convergence (economics) , nonlinear system , controller (irrigation) , trajectory , control theory (sociology) , interval (graph theory) , mathematics , computer science , mathematical analysis , control (management) , artificial intelligence , physics , quantum mechanics , astronomy , combinatorics , agronomy , economics , biology , economic growth
Summary This article contributes to a detailed convergence analysis of iterative learning control for singular conformable differential equations with one‐sided Lipschitz nonlinearity. In order to track the desired reference trajectory in a finite time interval, a closed‐loop D ‐type learning update law is proposed for such nonlinear systems. Here, the strict convergence analysis is derived under the condition of identical initial state. A numerical example is provided to verify the effectiveness of the proposed controller.