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2022 | Buch

Introduction Kapitel lesen Erstes Kapitel lesen

Iterative Learning Control for Equations with Fractional Derivatives and Impulses

verfasst von: Prof. JinRong Wang, Dr. Shengda Liu, Prof. Michal Fečkan

Verlag: Springer Singapore

Buchreihe : Studies in Systems, Decision and Control

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

This book introduces iterative learning control (ILC) and its applications to the new equations such as fractional order equations, impulsive equations, delay equations, and multi-agent systems, which have not been presented in other books on conventional fields. ILC is an important branch of intelligent control, which is applicable to robotics, process control, and biological systems. The fractional version of ILC updating laws and formation control are presented in this book. ILC design for impulsive equations and inclusions are also established. The broad variety of achieved results with rigorous proofs and many numerical examples make this book unique.

This book is useful for graduate students studying ILC involving fractional derivatives and impulsive conditions as well as for researchers working in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.

Inhaltsverzeichnis

Frontmatter
Chapter 1. Introduction
Abstract
This chapter introduces the research significance and research status of ILC. The author’s contribution is further introduced.
JinRong Wang, Shengda Liu, Michal Fečkan
Chapter 2. Fractional Equations
Abstract
This chapter introduces some related contents of fractional ILC.
JinRong Wang, Shengda Liu, Michal Fečkan
Chapter 3. Fractional Multi-agent Systems
Abstract
This chapter introduces some related contents of fractional order multi-agent ILC. The design and convergence analysis of the controller are included, and some simulation examples are given.
JinRong Wang, Shengda Liu, Michal Fečkan
Chapter 4. Instantaneous Impulsive Differential Equations
Abstract
In this chapter, we consider the ILC methods for the instantaneous impulsive system with deterministic, random and time-delay cases.
JinRong Wang, Shengda Liu, Michal Fečkan
Chapter 5. Noninstantaneous Impulsive Equations
Abstract
In this chapter, we study the ILC methods via fixed and varying trial lengths for the noninstantaneous impulsive system.
JinRong Wang, Shengda Liu, Michal Fečkan
Chapter 6. Nonlinear Differential Inclusion
Abstract
This chapter updates the controlled system of ILC from differential equation to differential inclusion. Sufficient conditions for convergence of ordinary differential inclusions and partial differential inclusions are given respectively.
JinRong Wang, Shengda Liu, Michal Fečkan
Chapter 7. Conclusion and Expectation
Abstract
This chapter summarizes the contents of this book and gives possible research directions in the future.
JinRong Wang, Shengda Liu, Michal Fečkan
Backmatter
Metadaten
Titel
Iterative Learning Control for Equations with Fractional Derivatives and Impulses
verfasst von
Prof. JinRong Wang
Dr. Shengda Liu
Prof. Michal Fečkan
Copyright-Jahr
2022
Verlag
Springer Singapore
Electronic ISBN
978-981-16-8244-5
Print ISBN
978-981-16-8243-8
DOI
https://doi.org/10.1007/978-981-16-8244-5

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