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Optimal Control For Chemical Engineers

Author : Simant Ranjan Upreti
ISBN : 9781439838952
Genre : Science
File Size : 60.96 MB
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Optimal Control for Chemical Engineers gives a detailed treatment of optimal control theory that enables readers to formulate and solve optimal control problems. With a strong emphasis on problem solving, the book provides all the necessary mathematical analyses and derivations of important results, including multiplier theorems and Pontryagin’s principle. The text begins by introducing various examples of optimal control, such as batch distillation and chemotherapy, and the basic concepts of optimal control, including functionals and differentials. It then analyzes the notion of optimality, describes the ubiquitous Lagrange multipliers, and presents the celebrated Pontryagin principle of optimal control. Building on this foundation, the author examines different types of optimal control problems as well as the required conditions for optimality. He also describes important numerical methods and computational algorithms for solving a wide range of optimal control problems, including periodic processes. Through its lucid development of optimal control theory and computational algorithms, this self-contained book shows readers how to solve a variety of optimal control problems.
Category: Science

The Optimal Control Of Chemical Processes

Author : Coleman B. Brosilow
ISBN : STANFORD:36105046452905
Genre : Mathematics
File Size : 60.35 MB
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Attention is focused on obtaining a near optimal controller, for chemical processes, which is simple to design and inexpensive to implement. Pontryagin's technique is used to show that for a quadratic objective function, and a process which is described by a set of ordinary differential equations, linear in the controllable variables, the optimal control is on-off control, when the controllable variables are assumed to be bounded. A technique of parameter optimization is developed and used to obtain the equations which specify the switching times. These equations are restricted to processes which can be approximated by stable, linear, sationary differential equations. For the special case of one switch it is shown that the control law can be transformed into a switching criterion which is linear in the process outputs. Employing this criterion continuously results in a feedback controller which requires only a relay and a summing device for implementation. Analog computer studies on the control of both underdamped and overdamped systems with the 'one switch into the future' optimal controller show that this controller gives a virtually dead beat type of response even for severe disturbances. (Author).
Category: Mathematics

Large Scale Optimization With Applications

Author : Lorenz T. Biegler
ISBN : 0387982876
Genre : Mathematics
File Size : 58.79 MB
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With contributions by specialists in optimization and practitioners in the fields of aerospace engineering, chemical engineering and fluid and solid mechanics, the major themes of this work include an assessment of the state of the art in optimization algorithms as well as challenging applications in design and control, in the areas of process engineering and systems with partial differential equation models. This is the second volume in the series.
Category: Mathematics

Batch Distillation

Author : Urmila Diwekar
ISBN : 9781466515420
Genre : Science
File Size : 36.18 MB
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Most available books in chemical engineering mainly pertain to continuous processes, with batch distillation relegated to a small section. Filling this void in the chemical engineering literature, Batch Distillation: Simulation, Optimal Design, and Control, Second Edition helps readers gain a solid, hands-on background in batch processing. The second edition of this bestseller explores numerous new developments in batch distillation that have emerged since the publication of the first edition. New to the Second Edition Special sections on complex column configurations and azeotropic, extractive, and reactive distillation A chapter on various kinds of uncertainties in batch distillation A chapter covering software packages for batch distillation simulation, design, optimization, and control Separate chapters on complex columns and complex systems Up-to-date references and coverage of recent research articles This edition continues to explain how to effectively design, synthesize, and make operations decisions related to batch processes. Through careful treatments of uncertainty analysis, optimization, and optimal control methods, the author gives readers the necessary tools for making the best decisions in practice. While primarily designed for a graduate course in batch distillation, the text can also be used in undergraduate chemical engineering courses. In addition, researchers and academics faced with batch distillation research problems and practicing chemical engineers tackling problems in actual day-to-day operations will find the book to be a useful reference source.
Category: Science

Application Of Optimal Control Theory To Enhanced Oil Recovery

Author : W. Fred Ramirez
ISBN : 0080868797
Genre : Technology & Engineering
File Size : 69.57 MB
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In recent years, enhanced oil recovery techniques have received much attention in the oil industry. Enhanced oil recovery methods can be divided into three major categories: thermal processes which include steam flooding, steam stimulation, and in-situ combustion; chemical processes which include surfactant-polymer injection, polymer flooding, and caustic flooding; and miscible displacement processes which include miscible hydrocarbon displacement, carbon dioxide injection of large amounts of rather expensive fluids into oil bearing reservoir formations. Commercial application of any enhanced oil recovery process relies upon economic projections that show a decent return on the investment. Because of high chemical costs, it is important to optimize enhanced oil recovery processes to provide the greatest recovery at the lowest chemical injection cost. The aim of this book is to develop an optimal control theory for the determination of operating strategies that maximize the economic attractiveness of enhanced oil recovery processes. The determination of optimal control histories or operating strategies is one of the key elements in the successful usage of new enhanced oil recovery techniques. The information contained in the book will therefore be both interesting and useful to all those working in petroleum engineering, petroleum management and chemical engineering.
Category: Technology & Engineering

Instrument Engineers Handbook Fourth Edition Volume Two

Author : Bela G. Liptak
ISBN : 1420064002
Genre : Technology & Engineering
File Size : 62.10 MB
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The latest update to Bela Liptak's acclaimed "bible" of instrument engineering is now available. Retaining the format that made the previous editions bestsellers in their own right, the fourth edition of Process Control and Optimization continues the tradition of providing quick and easy access to highly practical information. The authors are practicing engineers, not theoretical people from academia, and their from-the-trenches advice has been repeatedly tested in real-life applications. Expanded coverage includes descriptions of overseas manufacturer's products and concepts, model-based optimization in control theory, new major inventions and innovations in control valves, and a full chapter devoted to safety. With more than 2000 graphs, figures, and tables, this all-inclusive encyclopedic volume replaces an entire library with one authoritative reference. The fourth edition brings the content of the previous editions completely up to date, incorporates the developments of the last decade, and broadens the horizons of the work from an American to a global perspective. Béla G. Lipták speaks on Post-Oil Energy Technology on the AT&T Tech Channel.
Category: Technology & Engineering

Optimal Control Of Greenhouse Cultivation

Author : Gerrit van Straten
ISBN : 1420059637
Genre : Science
File Size : 87.37 MB
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Greenhouse control system manufacturers produce equipment and software with hundreds of settings and, while they hold training courses on how to adjust these settings, there is as yet no integrated instruction on when or why. Despite rapid growth in the greenhouse industry, growers are still faced with a multitude of variables and no unifying framework from which to choose the best option. Consolidating 30 years of research in greenhouse climate control, Optimal Control of Greenhouse Cultivation utilizes mathmatical models to incorporate the wealth of scientific knowledge into a feasible optimal control methodology for greenhouse crop cultivation. Discussing several different paradigms on greenhouse climate control, it integrates the current research into physical modeling of the greenhouse climate in response to heating, ventilation, and other control variables with the biological modeling of variables such as plant evapo-transpiration and growth. Key topics include state-space greenhouse and crop modeling needed for the design of integrated optimal controllers that exploit rather than mitigate outside weather conditions, especially sunlight, given widely different time scales. The book reviews classical rule-based and multivariable feedback controllers in comparison with the optimal hierarchical control paradigm. It considers real and hypothetical examples including lettuce, tomato, and solar greenhouses and examines experimental results of greenhouse climate control using optimal control software. The book concludes with a discussion of open issues as well as future perspectives and challenges. Providing a tool to automatically determine the most economical controls and settings for their operation, this much-needed book relieves growers of unnecessary control tasks, and allows them to achieve the best possible trade-off between short term savings and optimal harvest yield.
Category: Science

Optimization Of Chemical Plant Simulation Using Double Collocation

Author : Josef Illes
ISBN : 9783832480271
Genre : Science
File Size : 50.23 MB
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Inhaltsangabe:Problemstellung: Für die Lösung einer breiten Klasse der chemischen Betriebssimulationsmodelle, einschließlich Differentialgleichungen und Optimierung ist eine Methode konstruiert worden: Die doppelte orthogonale Kollokation und die Finite Elemente Methode werden angewendet, um das Modell in ein NLP Problem zu konvertieren. Das NLP Problem wird dann entweder durch den nichtlinearen Optimierungscode VF13AD, der auf der sukzessiven quadratischer Programmierung basiert oder durch den nichtlinearen Optimierungscode GRG2, der auf dem generalisierten Gradientenverfahren basiert, gelöst. Dieses Verfahren wird simultane Optimierung und Lösungsstrategie genannt. Das Zielfunktional kann dabei Integralterme enthalten und die Zustandsvariablen sowie die Entscheidungsvariablen können zeitliche Verzögerung haben. Das Modell kann Zustandsvariablen und Entscheidungsvariablen enthaltende Gleichungen, algebraische Gleichungen und Ungleichungen enthalten. Die Höchstzahl der unabhängigen Veränderlichen in den partiellen Differentialgleichungen ist zwei. Die Probleme, die drei unabhängige Veränderliche enthalten, können mit der Differenzenmethode in zwei unabhängige Veränderliche enthaltende Probleme konvertiert werden. Die Höchstzahl der NLP Variablen sowie die der Nebenbedingungen beträgt 1500. Die Methode ist auch für das Lösen der gewöhnlichen und partiellen Differentialgleichungen verwendbar. Die Zustandsfunktionen werden durch eine lineare Kombination der Lagrange Interpolationspolynomen approximiert. Die Kontrollfunktion kann entweder durch eine lineare Kombination der Lagrange Interpolationspolynomen oder durch eine Funktion, die stückweise konstant ist, approximiert werden. Der Wert der Funktion und die Zahl der inneren Kollokationspunkte kann je nach dem finiten Element variieren. Der residuale Fehler wird an äquidistanten Knotenpunkten ausgewertet und ermöglicht so die Genauigkeit der Lösung zwischen Kollokationspunkten zu überprüfen. Die Lösungsfunktionen können tabellarisiert werden. Es gibt auch die Möglichkeit, die Kontrollvektor-Parametrisierung zu verwenden, um die dynamischen Optimierungsprobleme zu lösen, wenn das Modell aus Anfangswertaufgaben besteht. Diese Methode soll angewendet werden, wenn das Modell viele Differentialgleichungen enthält oder die obere Grenze der Integration gleichzeitig eine zu optimal wählende Variable ist. Das Programm ist von VAX FORTRAN 77 in IBM FORTRAN 77 und SUN SPARC 2000 FORTRAN 77 konvertiert [...]
Category: Science

Scientific Computing In Chemical Engineering Ii

Author : Frerich Keil
ISBN : 3540658513
Genre : Mathematics
File Size : 68.30 MB
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The application of modern methods in numerical mathematics on problems in chemical engineering is essential for designing, analyzing and running chemical processes and even entire plants. Scientific Computing in Chemical Engineering II gives the state of the art from the point of view of numerical mathematicians as well as that of engineers. The present volume as part of a two-volume edition covers topics such as computer-aided process design, combustion and flame, image processing, optimization, control, and neural networks. The volume is aimed at scientists, practitioners and graduate students in chemical engineering, industrial engineering and numerical mathematics.
Category: Mathematics