Optimization by Vector Space Methods (Series in Decision and Control)

Book Description

Engineers must make decisions regarding the distribution of expensive resources in a manner that will be economically beneficial. This problem can be realistically formulated and logically analyzed with optimization theory. This book shows engineers how to use optimization theory to solve complex problems. Unifies the large field of optimization with a few geometric principles. Covers functional analysis with a minimum of mathematics. Contains problems that relate to the applications in the book.

Customer Reviews:

Elegant and astonishing.......2006-03-17

Professor Luenberger unites many areas of optimization using a few principles from functional analysis. The explanations are clear and the proofs are compact and elegant. This book is your tool for understanding the deep connection between linear programming, convex optimization, game theory, optimal control and series approximation (e.g. Fourier series).

Luenberger's book has over 1300 citations as of March 2006. In my opinion, the material in this book is essential for any graduate student or professional who intends to contribute to the literature in optimization or optimal control.

A Good Book but Seriously Overpriced.......2005-01-15

The exposition is pretty clear and the book has a good number of worked non-trivial examples. At $40 this would be a great book, but $100 for a PAPERBACK book written 30 years ago is a bit ridiculous. The first 1/4 of the book is also a (very) basic introduction to functional analysis which, if you have had any contact with this subject before, you will probably skip making the book quite short.

This is a true classic.......2004-12-18

This book is a timeless classic, filled with extraordinarily powerful mathematics and applicable to just about every serious subject area. Luenberger did a masterful job of writing a book that will "unravel the spaghetti" seen in most other books. The visual perspectives he provides to seemingly abstract ideas are the key.

Simply the perfect math book.......2003-07-04

Optimization by Vector Space Methods, by David Luenberger, is one of the finest math texts I have ever read, and I've read hundreds. Many years ago this book sparked my interest in optimization and convinced me that the abstract mathematics I had been immersed in actually would be applicable to real problems. Since then, Luenberger's book has inspired several of my graduate students. I merely lent them my copy, and Luenberger did the rest; he drew them in by carefully laying the foundation for an elegant theory, with just the right mix of formalism and intuition, and opened their eyes to the beauty and practicality of abstract mathematics. Anyone with an interest in higher-level mathematics (beyond multi-variable calculus, say) would benefit from exposure to this finely-crafted book. I daresay, the rampant math anxiety that is so prevalent in the West would be substantially reduced if more authors would take such meticulous care in presenting their material.

The format of Luenberger's book is also extremely appealing in a way that I cannot quite put my finger on. The typography and illustrations are inherently crisp and inviting; they draw you in. There is nothing at all superfluous or gratuitous in this book. It is utterly to-the-point, methodical, and above all, clear. The techniques are developed starting from an elementary treatment of vector spaces, then proceeding on to Banach spaces and Hilbert spaces. Along the way, Luenberger introduces convexity, cones, basic topology, random variables, minimum-variance estimators, and least squares, among many other things. There is a recurring theme of duality, which can be used in a way analogous to the inner product of a Hilbert space. In particular, the familiar projection theorems of Hilbert spaces can be echoed in simpler normed linear spaces using duality, which Luenberger motivates and covers beautifully.

The book also covers some of the standard fare of functional analysis, such as the Han-Banach theorem, strong and weak convergence, and the Banach inverse theorem. However, Luenberger never wanders too far off into abstract nonsense; around every corner lay tantalizing application of these ideas to optimization. Luenberger first explores optimization of functionals then covers constrained optimization, which builds upon concepts such as positive cones and Lagrange multipliers. The optimization methods themselves have endless applications in fields such as computer vision, computer graphics, economics, and physics. Indeed, the list is effectively endless as optimization techniques pervade math and science.

I'm certain that the appeal of this book is helped immeasurably by the inherent beauty of the subject matter. Hilbert-space methods are lovely in themselves--they possess a structure that engages one's geometric intuition while at the same time admitting convenient algebraic properties. Once you are in the habit of phrasing problems in abstract settings such as Hilbert spaces, it forever changes how you look at things; you cannot help but look past the clutter to the essence of a problem (or, at least try very hard to do so). While this material is not nearly as abstract as, say, category theory, it nevertheless hits a high point in mathematics--a point more people ought to experience.

If you've had some exposure to optimization methods, or need to apply them in the context of computer vision, graphics, or finance, to mention just a few areas, then I urge you to take a look at Luenberger's fine book. It too hits a high point in clarity of mathematical writing. Combine beautiful theory with endless applications and lucid writing, and you have a winner of a book.

Thank You Dr. Luenberger.......2002-10-15

I owe Dr Luenberger a million thanks for writing this book. As his student, I think he is the master of putting complex issues in simple words. Your faithful student..Jayanth Krishnan

Instrument Engineers' Handbook, Fourth Edition, Volume Two: Process Control and Optimization

Average customer rating:

Before we can control a Process, first we must fully understand it and all of its components
Authoritative book on Process Control
This is like the bible for process control

Instrument Engineers' Handbook, Fourth Edition, Volume Two: Process Control and Optimization

Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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ASIN: 0849310814

Book Description

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.

Customer Reviews:

Before we can control a Process, first we must fully understand it and all of its components.......2006-07-24

Absolutely the Very Best Process Control Reference for the Process Control Engineer - Now Updated and Expanded !!. This is the second volume of the Instrument Engineer's Handbook, and. as its title suggests, it deals with Process control and Optimization, covering everything from Control Hardware, Control Theory, Control Strategies, and the Control and Optimization of Specific Unit Operations.

The Chapters on Control Hardware cover in detail transmitters, controllers, control valves, regulators and other types of final control elements, PLCs, and other logic devices, human interfaces and displays, including the design of control rooms.

The Chapters on Control Theory and Control Strategies covers everything from control basics and PID controllers, to tuning methods, stability, process characteristics, process modeling and simulation, model-based control, genetic and other evolutionary algorithms, fuzzy logic programming, neural networks and other advance control strategies.

The Chapters on Control and Optimization of Unit Operations provide both in-depth of both the theory of operation and control, and practical implementation for the control of pumping, distillation, chemical reaction, heat transfer and many other.

While evaluating and reviewing such sophisticated topics about Process Control, this handbook also tries and succeeds to provide and reinforce the reader with the most useful tool for the Automation and Control Engineer: Common Sense. In order to emphasize the importance of Common Sense, the Author gives some practical recommendations that include the following ones:

- Before we can control a process, one must fully understand it.
- Being progressive is good, but being a guinea pig is not. Therefore is the wrong control strategy is implemented, the performance of even the most advanced digital hardware will be unacceptable.
- And Instrumentation, Automation, and Process Control Engineer or Technician is doing a good and better job by telling plant management what they need to know, and not what they like to hear.
- If an instrument is worth installing, it should also be worth calibrating and maintaining. No device can outperform the reference against it was calibrated.
- Trust your common sense not the sales literature. Independent performance evaluation based on the recommendation of international and national users associations should be done before installation, and not after it.

I am an Industrial Practitioner of Process Measurement & Control. I have been working in the Process Industries for more than 16 years as an Automation, Instrumentation, Process Safety and Process Control Engineer. I consider this book to be the very best reference in the field for anyone and everyone working in these areas or in areas related with their Industrial applications. You will find this handbook useful, either if your work is related with the engineering, maintenance or operation of Process Control Systems.

If you are a beginner to Process Control, you may also want to consider "Process Dynamics, Modeling, and Control (Topics in Chemical Engineering)" by Babatunde A. Ogunnaike, which is an excelent introductory reference to Chemical Processes Dynamics and Control.

Authoritative book on Process Control.......2002-10-15

This book is a Must Have in your Engineering Library.
Liptak provides extensive detail for this to be your one-stop-shop for controls as well as a great introduction & encyclopedia for the rookies.
Hats off to Liptak and his team.
Just brace yourself for the 1,500 pages of information !! ;)

This is like the bible for process control.......1999-07-29

The first edition was published in 1969, the second edition was released in 1982 (Volume 1) and 1985 (Volume 2). This latest edition comprises over 3000 pages between the 2 volumes. Each volume includes 8 chapters with many sub-headings per chapter.

The Flow Measurement (29 sub-headins) and Analytical Instrumentation (60 sub-headings) chapters were heavily revised for the 1995 edition of VOLUME 1. PLC's & Other Logic Devices (10 subheadings), DCS & Computer-based Systems (16 sub-headings) and Process Control Systems (27 sub-headings) were largely rewritten for the 1995 edition of VOLUME 2. Within each product-oriented sub-heading (eg. Magnetic Flowmeters, Infrared Analyzers, DCS Basic Packages), in addition to extensive treatment of the applicable technology, a comprehesive listing of manufacturers and typical price ranges is provided. Under Process Control Systems, a diverse group of applications (Airhandler Controls, Clean Room Controls, Distillation Advanced Controls, Compressor Controls, Reactor Control & Optimation and many others) is profiled. Throughout this handbook, process control is treated in the time-domain to minimize mathematical complications implicit in frequency-domain analysis. Its focus is the practicding engineer and explains most control phoenomena visually.

Over 250 contributing authors are listed, including many prestigious names immediately recognizable by process control professionals. Liptak personally authored a substantial number of revised and up-dated easlier contribution of pioneering practitioners. This opus is a tour de force.

Book Description

The first part of this book presents the essential topics for an introduction to deterministic optimal control theory. The second part introduces stochastic optimal control for Markov diffusion processes. It also inlcudes two other topics important for applications, namely, the solution to the stochastic linear regulator and the separation principle.

Customer Reviews:

Be advised . . . .......2006-03-17

Not recommended as an introduction -- lacks examples.

Introduction to Modeling and Control of Internal Combustion Engine Systems

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Introduction to Modeling and Control of Internal Combustion Engine Systems
Lino Guzzella , and Christopher H. Onder
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover

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ASIN: 354022274X

Book Description

Internal combustion engines still have a potential for substantial improvements, particularly with regard to fuel efficiency and environmental compatibility. These goals can be achieved with help of control systems. Modeling and Control of Internal Combustion Engines (ICE) addresses these issues by offering an introduction to cost-effective model-based control system design for ICE. The primary emphasis is put on the ICE and its auxiliary devices. Mathematical models for these processes are developed in the text and selected feedforward and feedback control problems are discussed. The appendix contains a summary of the most important controller analysis and design methods, and a case study that analyzes a simplified idle-speed control problem. The book is written for students interested in the design of classical and novel ICE control systems.

Applied Optimal Control: Optimization, Estimation, and Control

Average customer rating:

Great book on optimal control
Good book on optimal control

Applied Optimal Control: Optimization, Estimation, and Control
A. E. Bryson
Manufacturer: Taylor & Francis
ProductGroup: Book
Binding: Paperback

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ASIN: 0891162283

Customer Reviews:

Great book on optimal control.......2003-09-09

This is a fantastic book on optimal control especially for readers who do not have to learn the math as they go. It covers a wide range of problems in a variety of disciplines and is an interesting book. The approach is relatively modern although a differential geometric approach is not utilized. For those wanting a pretty complete treatment of the basics of optimal control this will be a good supplement to the usual suspects or even a good stand alone text. Although the mathematical requirements are not very great, the reader who has them firmly in hand will be the most successful.

Good book on optimal control.......2000-08-15

This is one of the best books on optimal control. It covers a wide range of interesting material including parameter optimization, optimization for systems with constraints, feedback control and singular solutions of optimization. The book can be useful in teaching courses in control theory. There are plenty of exercises included in the text.

Reliability: Modeling, Prediction, and Optimization

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Modern and practical guide to reliability analysis

Reliability: Modeling, Prediction, and Optimization
Wallace R. Blischke , and D. N. Prabhakar Murthy
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471184500

Book Description

Bringing together business and engineering to reliability analysis With manufactured products exploding in numbers and complexity, reliability studies play an increasingly critical role throughout a product's entire life cycle-from design to post-sale support. Reliability: Modeling, Prediction, and Optimization presents a remarkably broad framework for the analysis of the technical and commercial aspects of product reliability, integrating concepts and methodologies from such diverse areas as engineering, materials science, statistics, probability, operations research, and management. Written in plain language by two highly respected experts in the field, this practical work provides engineers, operations managers, and applied statisticians with both qualitative and quantitative tools for solving a variety of complex, real-world reliability problems. A wealth of examples and case studies accompanies:
* Comprehensive coverage of assessment, prediction, and improvement at each stage of a product's life cycle
* Clear explanations of modeling and analysis for hardware ranging from a single part to whole systems
* Thorough coverage of test design and statistical analysis of reliability data
* A special chapter on software reliability
* Coverage of effective management of reliability, product support, testing, pricing, and related topics
* Lists of sources for technical information, data, and computer programs
* Hundreds of graphs, charts, and tables, as well as over 500 references
* PowerPoint slides are available from the Wiley editorial department.

Customer Reviews:

Modern and practical guide to reliability analysis.......2000-06-13

This text is an extensive and modern treatment of reliability with many practical case studies. It covers many of the standard topics including most of the topics covered in the recent book by Meeker and Escobar (1998) "Statistical Methods for Reliability Data". It is unique in its coverage of warranties (Chapter 17). These authors are very knowledgeable about the literature on warranty analysis and have edited the Product Warranty Handbook published by Marcel Dekker in 1996 and published their own text dedicated solely to that topic ("Warranty Cost Analysis" published by Marcel Dekker in 1994). Emphasis is placed on case studies which are discussed up front in the Overview chapter and treated in detail in Chapter 19.

Optimization of Industrial Unit Processes, Second Edition

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Optimization of Industrial Unit Processes, Second Edition
Béla G. Lipták
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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ASIN: 0849398738

Book Description

In Optimization of Industrial Unit Processes, the term "optimization" means the maximizing of productivity and safety while minimizing operating costs. In a fully optimized plant, efficiency and productivity are continuously maximized while levels, temperatures, pressures, or flows float within their allowable limits. This control philosophy differs from earlier approaches - where levels and temperatures were controlled at constant values, and plant productivity was only an accidental, uncontrolled consequence of those controlled variables. With this approach, the sides of a multivariable control envelope are the various constraints while inside the envelope the process is continuously moved to maximize efficiency and productivity. Because one must understand a process before one can control it (let alone optimize it), Optimization of Industrial Unit Processes discusses the "personality" and characteristics of each process in term of its time constants, gains, and other unique features. This book provides information for engineers who design or operate industrial plants and who seek to increase the profitability of their plants. It recognizes that all industrial processes involve operations such as material transportation, heat transfer, and reactions. Therefore each plant consists of a combination of basic unit operations and can be optimized by maximizing the efficiency, and minimizing the operating cost, of the individual unit operations from which it is composed. Optimization of Industrial Unit Processes discusses real world processes - where pipes leak, sensors plug, and pumps cavitate - offering practical solutions to real problems. Each control system described in the book works, illustrating the state of the art in controlling a particular unit operation. This second edition reflects the continual improvement and evolution of control systems as well as anticipates future advances.

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Robust and Optimal Control
Kemin Zhou , John C. Doyle , Keith Glover , and John Comstock Doyle
Manufacturer: Prentice Hall
ProductGroup: Book
Binding: Paperback

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ASIN: 0134565673

Book Description

This book provides a comprehensive, step-by-step treatment of the state-space H…à control theory, reflecting recent theoretical developments this area, in particular, and in the area of robust and H… à control theory in general. It offers as self-contained a presentation as possible and, for reference sake, includes many background results on linear systems, the theory and application of Riccati equations and model reduction.

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Very good book.
Very good introduction
Classic that never goes out of style
Practical Excellent Introduction
A Global Optimum of an Optimal Control Book

Optimal Control Theory: An Introduction
Donald E. Kirk
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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ASIN: 0486434842

Book Description

Geared toward upper-level undergraduates, this text introduces three aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous problems, which introduce additional topics and illustrate basic concepts, appear throughout the text. Solution guide available upon request. 131 figures. 14 tables. 1970 edition.

Customer Reviews:

Very good book........2007-05-09

A really good book for introduction to Optimal Control. As a Power System specialist, I acquired a very good comprehension about optimal control using such book.

Very good introduction.......2007-04-07

A complete introduction to optimal control theory, both from the point of view of dynamic programming and the Pontryagin's maximum principle. Ideal for starters like myself!

Classic that never goes out of style.......2006-04-19

My professor chosed this book to use in an Optimal Control class partly because it is very affordable. On top of that, its contents are superb, giving very clear explanations of the fundamental principles underlying Optimal Control for nonlinear/linear systems.

Despite its long history, I would think that all material are still relevant, although there are available more "modern" numerical techniques (it's still always good to know how things were done "back in those days"). I would grade this as a must-have for the beginning student in Optimal Control. I have always been a fan of Dover books, publishing quality books at rock bottom prices. This one has just reinforced my liking of Dover Publishing.

Practical Excellent Introduction.......2005-11-17

It is an excellent "first book" which is very easy to read and covers broad range of topics: Dynamic Programming leading to Hamilton-Jacobi using Bellman's principle, Calculus of Variations, Hamiltonian Equations, Pontryagin's principle and finally numerical solutions (two point boundary value problems based and using direct methods from operations research methods).

A Global Optimum of an Optimal Control Book.......2005-06-10

This book is very reader friendly. It introduces Dynamic Programming, Variational Calculus, Pontryagin Minimum Principle and in its final section some Numerical Methods. Despite being published in the seventies, this is a truly GOOD CLASSIC (there are bad classics).
In my opinion, to the student, Kirk is superior to Citron, to Athans and to Lewis (this is more recent), that is, this book is more concerned about teaching people. Athans is more encyclopedic but much more time-consuming to read.
With Kirk you will really learn the elements of optimal control theory.

Average customer rating:

Good book.
An excellent nonlinear systems book

Nonlinear Systems
Shankar Sastry
Manufacturer: Springer
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Binding: Hardcover

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Accessories:

ASIN: 0387985131

Book Description

There has been a great deal of excitement over the last few years concerning the emergence of new mathematical techniques for the analysis and control of nonlinear systems: witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos and other simplified tools for the analysis of bifurcations, chaos and other complicated dynamical behaviour and the development of a comprehensive theory of nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available both for the simulation of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances have bolstered the impact of analytic advances and produced a tremendous variety of new problems and applications which are nonlinear in an essential way. This book lays out in a concise mathematical framework the tools and methods of analysis which underlie this diversity of applications. The material presented in this book is culled from different 1st year graduate courses that the author has taught at MIT and at Berkeley.

Customer Reviews:

Good book........2007-08-03

This is a good book devoted to nonlinear systems.
Compared to Vidyasagar's book, this book has more mathematical rigour, therefore, to follow it you should have a good Calculus/Linear Algebra /
Analysis background (I recomend to have good books of these subjects while reading Sastry).
Some topics are more intuitively than explictly covered. The same thing occurs in the exercises at the end of the chapters. Because of this I think that you should not follow only this book in a first course on nonlinear systems. I recomend Khalil's and Isidori's book as parallel readings.

An excellent nonlinear systems book.......2001-04-14

As a Ph.D student I found this book very helpful and I would like to recommend this book everyone involved in nonlinear systems. I also have Vidyasagar's (i wish there were more example problems) and Khalil's nonlinear systems(mainly devoted to Lyapunov analysis) books which are also good but I found this book much explanatory than others.

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