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A Practical Guide to Geometric Regulation for Distributed Parameter Systems: Chapman & Hall/CRC Monographs and Research Notes in Mathematics

Autor Eugenio Aulisa, David Gilliam
en Limba Engleză Hardback – 18 iun 2015
A Practical Guide to Geometric Regulation for Distributed Parameter Systems provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite-dimensional systems. The book also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a wide range of dynamical control systems.
The first part of the book is devoted to regulation of linear systems, beginning with the mathematical setup, general theory, and solution strategy for regulation problems with bounded input and output operators. The book then considers the more interesting case of unbounded control and sensing. Mathematically, this case is more complicated and general theorems in this area have become available only recently. The authors also provide a collection of interesting linear regulation examples from physics and engineering.
The second part focuses on regulation for nonlinear systems. It begins with a discussion of theoretical results, characterizing solvability of nonlinear regulator problems with bounded input and output operators. The book progresses to problems for which the geometric theory based on center manifolds does not directly apply. The authors show how the idea of attractive invariance can be used to solve a series of increasingly complex regulation problems. The book concludes with the solutions of challenging nonlinear regulation examples from physics and engineering.
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Specificații

ISBN-13: 9781482240139
ISBN-10: 1482240130
Pagini: 294
Ilustrații: 203 black & white illustrations
Dimensiuni: 156 x 234 x 20 mm
Greutate: 0.57 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC
Seria Chapman & Hall/CRC Monographs and Research Notes in Mathematics


Cuprins

Regulation for Linear Systems. Regulation: Bounded Input and Output Operators. Linear Regulation with Unbounded Control and Sensing. Examples Linear Regulation. Regulation for Nonlinear Systems. Nonlinear Distributed Parameter Systems. Nonlinear Examples.

Notă biografică

Eugenio Aulisa is an associate professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, USA. His primary research interests are in computational fluid mechanics, modeling and simulation of multiphase flows, fluid-structure interaction problems, non-linear analysis of fluid flow filtration in porous media, and multigrid solvers with domain decomposition methods. He holds a Ph.D in energetic, nuclear, and environmental control engineering from the University of Bologna, Italy.
David Gilliam is a professor in the Department of Mathematics and Statistics at Texas Tech University, Lubbock, USA. He also has held visiting and/or affiliate positions at Arizona State University, Tempe, USA; Colorado School of Mines, Golden, USA; University of Texas at Dallas, Richardson, USA; and Washington University in St. Louis, Missouri, USA. His current research interests are in the control of distributed parameter systems governed by partial differential equations. He holds a Ph.D from the University of Utah, Salt Lake City, USA.

Descriere

This book provides an introduction to geometric control design methodologies for asymptotic tracking and disturbance rejection of infinite dimensional systems. It also introduces several new control algorithms inspired by geometric invariance and asymptotic attraction for a wide range of dynamical control systems. The book covers the regulation of both linear and nonlinear systems and offers an extensive collection of both types of problems. Examples range from one-dimensional heat and wave equations to control of non-isothermal Boussinesq flows.