Authors:
- Shows how insights gained from simpler linear systems can be put to good use in nonlinear systems by working with them in parallel
- Equips students to handle the complexities of stabilization, tracking, and consensus by presenting them in a unified framework
- Broadens understanding of feedback design for multivariable systems with coordinated treatment of recent advances
- Includes introductory material before moving on to address advanced topics with worked examples throughout
- Includes supplementary material: sn.pub/extras
Part of the book series: Advanced Textbooks in Control and Signal Processing (C&SP)
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Table of contents (12 chapters)
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Front Matter
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Nonlinear Systems
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Front Matter
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Back Matter
About this book
This book focuses on methods that relate, in one form or another, to the “small-gain theorem”. It is aimed at readers who are interested in learning methods for the design of feedback laws for linear and nonlinear multivariable systems in the presence of model uncertainties. With worked examples throughout, it includes both introductory material and more advanced topics.
Divided into two parts, the first covers relevant aspects of linear-systems theory, the second, nonlinear theory. In order to deepen readers’ understanding, simpler single-input–single-output systems generally precede treatment of more complex multi-input–multi-output (MIMO) systems and linear systems precede nonlinear systems. This approach is used throughout, including in the final chapters, which explain the latest advanced ideas governing the stabilization, regulation, and tracking of nonlinear MIMO systems. Two major design problems are considered, both in the presence of model uncertainties: asymptotic stabilization with a “guaranteed region of attraction” of a given equilibrium point and asymptotic rejection of the effect of exogenous (disturbance) inputs on selected regulated outputs.
Much of the introductory instructional material in this book has been developed for teaching students, while the final coverage of nonlinear MIMO systems offers readers a first coordinated treatment of completely novel results. The worked examples presented provide the instructor with ready-to-use material to help students to understand the mathematical theory.
Readers should be familiar with the fundamentals of linear-systems and control theory. This book is a valuable resource for students following postgraduate programs in systems and control, as well as engineers working on the control of robotic, mechatronic and power systems.
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Authors and Affiliations
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Dipartimento di Ingegneria Informatica, Automatica e Gestionale, "Sapienza" Universita di Roma, Roma, Italy
Alberto Isidori
About the author
Bibliographic Information
Book Title: Lectures in Feedback Design for Multivariable Systems
Authors: Alberto Isidori
Series Title: Advanced Textbooks in Control and Signal Processing
DOI: https://doi.org/10.1007/978-3-319-42031-8
Publisher: Springer Cham
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer International Publishing Switzerland 2017
Hardcover ISBN: 978-3-319-42030-1Published: 23 August 2016
Softcover ISBN: 978-3-319-82483-3Published: 15 June 2018
eBook ISBN: 978-3-319-42031-8Published: 12 August 2016
Series ISSN: 1439-2232
Series E-ISSN: 2510-3814
Edition Number: 1
Number of Pages: XI, 413
Number of Illustrations: 22 b/w illustrations, 5 illustrations in colour
Topics: Control and Systems Theory, Systems Theory, Control, Applications of Nonlinear Dynamics and Chaos Theory, Calculus of Variations and Optimal Control; Optimization