Overview
- Provides a thorough introduction to the theory of generalized homogeneous systems
- Discusses mathematical models of dynamic systems in finite- and infinite-dimensions
- Supports all theory with illustrations, examples and simulations
- Shows engineers how to enhance the precision of PID control
Part of the book series: Communications and Control Engineering (CCE)
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Table of contents (12 chapters)
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Front Matter
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Models of Control Systems and Stability Analysis
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Front Matter
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Back Matter
Keywords
About this book
This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include:
The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.
Authors and Affiliations
About the author
Andrey Polyakov received his Ph.D. degree in Systems Analysis and Control from Voronezh State University in 2005, where he then acted as Assistant Professor until from 2008 to 2010. In 2007-2008, Dr Polyakov worked at CINVESTAV in Mexico. From 2010 to 2013, he was Lead Researcher of the Institute of the Control Sciences, Russian Academy of Sciences. Since 2013 he has been working at the NON-A team of Inria in Lille, France. His main research interests include mathematical methods in robust and nonlinear control. He has authored or co-authored over 150 publications, including the book Attractive Ellipsoids in Robust Control. He was the editor of the International Journal of Robust and Nonlinear Control, Journal of Optimization Theory and Applications (JOTA), and Automation and Remote Control.
Bibliographic Information
Book Title: Generalized Homogeneity in Systems and Control
Authors: Andrey Polyakov
Series Title: Communications and Control Engineering
DOI: https://doi.org/10.1007/978-3-030-38449-4
Publisher: Springer Cham
eBook Packages: Intelligent Technologies and Robotics, Intelligent Technologies and Robotics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-38448-7Published: 06 February 2020
Softcover ISBN: 978-3-030-38451-7Published: 06 February 2021
eBook ISBN: 978-3-030-38449-4Published: 05 February 2020
Series ISSN: 0178-5354
Series E-ISSN: 2197-7119
Edition Number: 1
Number of Pages: XVIII, 447
Number of Illustrations: 19 b/w illustrations, 33 illustrations in colour
Topics: Control and Systems Theory, Systems Theory, Control, Engineering Mathematics