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

Author: Bijnan Bandyopadhyay

Publisher: Springer

Published: 2014-07-22

Total Pages: 226

ISBN-13: 3319086219

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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.

Sliding Mode Control In Engineering
Sliding Mode Control In Engineering

Author: Wilfrid Perruquetti

Publisher: CRC Press

Published: 2002-01-29

Total Pages: 440

ISBN-13: 9780203910856

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Provides comprehensive coverage of the most recent developments in the theory of non-Archimedean pseudo-differential equations and its application to stochastics and mathematical physics--offering current methods of construction for stochastic processes in the field of p-adic numbers and related structures. Develops a new theory for parabolic equat

Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems
Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems

Author: Boulkroune, Abdesselem

Publisher: IGI Global

Published: 2018-05-11

Total Pages: 562

ISBN-13: 152255419X

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In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems is a scholarly publication that explores new developments related to novel chaotic fractional-order systems, control schemes, and their applications. Featuring coverage on a wide range of topics including chaos synchronization, nonlinear control, and cryptography, this publication is geared toward engineers, IT professionals, researchers, and upper-level graduate students seeking current research on chaotic fractional-order systems and their applications in engineering and computer science.

Discrete-time Sliding Mode Control
Discrete-time Sliding Mode Control

Author: B. Bandyopadhyay

Publisher: Springer Science & Business Media

Published: 2005-10-17

Total Pages: 174

ISBN-13: 9783540281405

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Sliding mode control is a simple and yet robust control technique, where the system states are made to confine to a selected subset. With the increasing use of computers and discrete-time samplers in controller implementation in the recent past, discrete-time systems and computer based control have become important topics. This monograph presents an output feedback sliding mode control philosophy which can be applied to almost all controllable and observable systems, while at the same time being simple enough as not to tax the computer too much. It is shown that the solution can be found in the synergy of the multirate output sampling concept and the concept of discrete-time sliding mode control.

Innovation in Electrical Power Engineering, Communication, and Computing Technology
Innovation in Electrical Power Engineering, Communication, and Computing Technology

Author: Manohar Mishra

Publisher: Springer Nature

Published: 2021-12-15

Total Pages: 573

ISBN-13: 9811670765

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This book features selected high-quality papers from the Second International Conference on Innovation in Electrical Power Engineering, Communication, and Computing Technology (IEPCCT 2021), held at Siksha 'O' Anusandhan (Deemed to be University), Bhubaneswar, India, on 24–26 September 2021. Presenting innovations in power, communication, and computing, it covers topics such as mini, micro, smart and future power grids; power system economics; energy storage systems; intelligent control; power converters; improving power quality; signal processing; sensors and actuators; image/video processing; high-performance data mining algorithms; advances in deep learning; and optimization methods.

Theory and Applications of Non-integer Order Systems
Theory and Applications of Non-integer Order Systems

Author: Artur Babiarz

Publisher: Springer

Published: 2016-09-15

Total Pages: 497

ISBN-13: 3319454749

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This book collects papers from the 8th Conference on Non-Integer Order Calculus and Its Applications that have been held on September 20-21, 2016 in Zakopane, Poland. The preceding two conferences were held in Szczecin, Poland in 2015, and in Opole, Poland, in 2014. This conference provides a platform for academic exchange on the theory and application of fractional calculus between domestic and international universities, research institutes, corporate experts and scholars. The Proceedings of the 8th Conference on Non-Integer Order Calculus and Its Applications 2016 brings together rigorously reviewed contributions from leading international experts. The included papers cover novel various important aspects of mathematical foundations of fractional calculus, modeling and control of fractional systems as well as controllability, detectability, observability and stability problems for this systems.

Emerging Trends in Sliding Mode Control
Emerging Trends in Sliding Mode Control

Author: Axaykumar Mehta

Publisher: Springer Nature

Published: 2020-12-21

Total Pages: 429

ISBN-13: 9811586136

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This book compiles recent developments on sliding mode control theory and its applications. Each chapter presented in the book proposes new dimension in the sliding mode control theory such as higher order sliding mode control, event triggered sliding mode control, networked control, higher order discrete-time sliding mode control and sliding mode control for multi-agent systems. Special emphasis has been given to practical solutions to design involving new types of sliding mode control. This book is a reference guide for graduate students and researchers working in the domain for designing sliding mode controllers. The book is also useful to professional engineers working in the field to design robust controllers for various applications.

Mathematical Techniques of Fractional Order Systems
Mathematical Techniques of Fractional Order Systems

Author: Ahmad Taher Azar

Publisher: Elsevier

Published: 2018-06-11

Total Pages: 702

ISBN-13: 012813593X

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Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems. - Discusses multidisciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results - Includes circuits and systems based on new nonlinear elements - Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers - Closes the gap between theoretical approaches and real-world applications - Provides MATLAB® and Simulink code for many applications in the book