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The feedback control of nonlinear differential and algebraic equation systems (DAEs) is a relatively new subject. Developing steadily over the last few years, it has generated growing interest inspired by its engineering applications and by advances in the feedback control of nonlinear ordinary differential equations (ODEs). This book-the first of its kind-introduces the reader to the inherent characteristics of nonlinear DAE systems and the methods used to address their control, then discusses the significance of DAE systems to the modeling and control of chemical processes. Within a unified framework, Control of Nonlinear Differential Algebraic Equation Systems presents recent results on the stabilization, output tracking, and disturbance elimination for a large class of nonlinear DAE systems.
Written at a basic mathematical level-assuming some familiarity with analysis and control of nonlinear ODEs-the authors focus on continuous-time systems of differential and algebraic equations in semi-explicit form. Beginning with background material about DAE systems and their differences from ODE systems, the book discusses generic classes of chemical processes, feedback control of regular and non-regular DAE systems, control of systems with disturbance inputs, the connection of the DAE systems considered with singularly perturbed systems, and finally offers examples that illustrate the application of control methods and the advantages of using high-index DAE models as the basis for controller design.
Mathematicians and engineers will find that this book provides unique, timely results that also clearly documents the relevance of DAE systems to chemical processes.
- Sales Rank: #6629373 in Books
- Published on: 1999-02-01
- Original language: English
- Number of items: 1
- Dimensions: 9.50" h x 6.50" w x .50" l, .58 pounds
- Binding: Paperback
- 176 pages
Review
"This valuable monograph presents in a unified framework, recent results on systems described by coupled nonlinear differential and algebraic equations The book is an excellent reference for engineers and applied mathematicians interested in this relatively new subject, that has been developing steadily over the last few years." -Dieter Franke in Mathematical Reviews
About the Author
Prodromos Daoutidis is Professor in the Department of Chemical Engineering and Materials Science at the University of Minnesota. He has also held a position as Professor at the Aristotle University of Thessaloniki in 2004 2006. He is the recipient of several research and teaching awards and recognitions, including the NSF CAREER Award, the Model-Based Innovation Prize from Process Systems Enterprise, the Ted Peterson Award of CAST, the George Taylor Career Development Award, the McKnight Land-Grant Professorship, the Ray D. Johnson/Mayon Plastics Professorship and the Shell Chair at the University of Minnesota. He has also been a Humphrey Institute Policy Fellow. He has co-authored two books and 175 refereed papers.
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