Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach

In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregular...

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Những tác giả chính: Bijnan, Bandyopadhyay, Kamal, Shyam
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
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Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57592
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spelling oai:scholar.dlu.edu.vn:DLU123456789-575922023-11-11T05:46:51Z Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach Bijnan, Bandyopadhyay Kamal, Shyam Fractional calculus Sliding mode control Engineering In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis. This monograph is based on the authors’ work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations. 2015-08-19T01:26:01Z 2015-08-19T01:26:01Z 2015 Book 978-3-319-08621-7 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57592 en application/pdf Springer
institution Thư viện Trường Đại học Đà Lạt
collection Thư viện số
language English
topic Fractional calculus
Sliding mode control
Engineering
spellingShingle Fractional calculus
Sliding mode control
Engineering
Bijnan, Bandyopadhyay
Kamal, Shyam
Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
description In the last two decades fractional differential equations have been used more frequently in physics, signal processing, fluid mechanics, viscoelasticity, mathematical biology, electro chemistry and many others. It opens a new and more realistic way to capture memory dependent phenomena and irregularities inside the systems by using more sophisticated mathematical analysis. This monograph is based on the authors’ work on stabilization and control design for continuous and discrete fractional order systems. The initial two chapters and some parts of the third chapter are written in tutorial fashion, presenting all the basic concepts of fractional order system and a brief overview of sliding mode control of fractional order systems. The other parts contain deal with robust finite time stability of fractional order systems, integral sliding mode control of fractional order systems, co-operative control of multi-agent systems modeled as fractional differential equation, robust stabilization of discrete fractional order systems, high performance control using soft variable structure control and contraction analysis by integer and fractional order infinitesimal variations.
format Book
author Bijnan, Bandyopadhyay
Kamal, Shyam
author_facet Bijnan, Bandyopadhyay
Kamal, Shyam
author_sort Bijnan, Bandyopadhyay
title Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
title_short Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
title_full Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
title_fullStr Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
title_full_unstemmed Stabilization and Control of Fractional Order Systems: A Sliding Mode Approach
title_sort stabilization and control of fractional order systems: a sliding mode approach
publisher Springer
publishDate 2015
url https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57592
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