Authors:
- Presents some basic theories of stability and stabilization of linear systems with time-delay
- Discusses the problem of stability analysis and controller synthesis of linear time-delay systems based on a Lyapunov–Krasovskii (LK) functional approach in a linear matrix inequality (LMI) framework, as in recent years efficient software has become available for finding the optimal value of delays
- Demonstrates how an LMI control toolbox can be used to arrive at a solution for the estimation of time-delay
- Provides the solution of every theorem with the MATLAB code to help beginners in this field of research
- Includes supplementary material: sn.pub/extras
Part of the book series: Intelligent Systems Reference Library (ISRL, volume 141)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
This book provides a clear understanding in formulating stability analysis and state feedback control of retarded time delay systems using Lyapunov’s second method in an LMI framework. The chapters offer a clear overview of the evolution of stability analysis in terms of the construction of a Lyapunov functional and use of the integral inequalities in order to reduce the gap of delay upper bound estimate compared to frequency domain method through existing and proposed stability theorems. Power system engineering problem has been presented here to give readers fair idea on applicability of the model and method for solving engineering problems. Without deviating from the framework of analysis more complex dynamics of the system have been dealt with here that includes actuator saturation and thereby ascertaining local stability for an estimated time-delay and domain of attraction. Nonlinearity in a time-delay system has been dealt with in the T-S fuzzy modeling approach.
Thisbook is useful as a textbook for Master’s students and advanced researcher working in the field of control system engineering, and for practicing engineers dealing with such complex dynamical systems. The strengths of the book are lucidity of presentation, lucidity of solution method, MATLAB programs given in the appendix that help the novice researcher to carry out research in this area independently, clear idea about the formulation of desired stability and control problem in a LMI framework, application problem provided can motivate students and researcher to recast their problems in the similar framework easily, helpful for readers to use the stability (stabilization) conditions or formulate their own stability conditions easily for a complicated linear or nonlinear dynamical system.
Authors and Affiliations
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National Institute of Technology Silchar, Silchar, India
Rajeeb Dey
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Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, India
Goshaidas Ray
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“Aurel Vlaicu” University of Arad, Arad, Romania
Valentina Emilia Balas
About the authors
Before joining NIT Silchar, he has served Sikkim Manipal University, Sikkim, for 12
years in various positions (Lecturer, Reader and Associate Professor). His research
interests are time-delay systems and control, robust control, control of biomedical
systems and application of wireless communication in control. He is presently
reviewer of many SCI(E) journals related to control engineering and applied math-
ematics. He is senior member of IEEE, CSS, Life member of System Society of India,
Member Institution of Engineers (India). E-mail: rajeeb.iitkgp@gmail.com.
Goshaidas Ray is presently full Professor in Heritage Institute of Technology,
Kolkata. Before joining Heritage Institute of Technology, he has served for over 35
years as a Professor in the Department of Electrical Engineering at Indian Institute
of Technology Kharagpur, India. He has published over 100 papers in reputed
international and national journals. E-mail: gray@ee.iitkgp.ernet.in.
Valentina Emilia Balas is currently full Professor in the Department of Automatics
and Applied Software at the Faculty of Engineering, “Aurel Vlaicu” University of
Arad, Romania. She holds a Ph.D. in Applied Electronics and Telecommunications
from Polytechnic University of Timisoara. Dr. Balas is author of more than 250
research papers in refereed journals and International Conferences. Her research
interests are in Intelligent Systems, Fuzzy Control, Soft Computing, Smart Sensors,
Information Fusion, Modeling and Simulation. She is the Editor-in Chief to
International Journal of Advanced Intelligence Paradigms (IJAIP) and to
International Journal of Computational Systems Engineering (IJCSysE), member
in Editorial Board member of several national and international journals and is the
director of Intelligent Systems Research Centre in Aurel Vlaicu University of Arad.
She is a member of EUSFLAT, SIAM and a Senior Member IEEE, member in TC –
Fuzzy Systems (IEEE CIS), member in TC – Emergent Technologies (IEEE CIS),
member in TC – Soft Computing (IEEE SMCS). E-mail: balas@drbalas.ro.
Bibliographic Information
Book Title: Stability and Stabilization of Linear and Fuzzy Time-Delay Systems
Book Subtitle: A Linear Matrix Inequality Approach
Authors: Rajeeb Dey, Goshaidas Ray, Valentina Emilia Balas
Series Title: Intelligent Systems Reference Library
DOI: https://doi.org/10.1007/978-3-319-70149-3
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing AG 2018
Hardcover ISBN: 978-3-319-70147-9Published: 08 December 2017
Softcover ISBN: 978-3-319-88892-7Published: 27 May 2018
eBook ISBN: 978-3-319-70149-3Published: 24 November 2017
Series ISSN: 1868-4394
Series E-ISSN: 1868-4408
Edition Number: 1
Number of Pages: XX, 267
Number of Illustrations: 43 b/w illustrations
Topics: Computational Intelligence, Artificial Intelligence, Control and Systems Theory