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Linear Systems Control: Deterministic and Stochastic Methods by Paul Haase Sorensen, Ole Jannerup, Elbert Hendricks (Paperback, 2010)

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Modern control theory and in particular state space or state variable methods can be adapted to the description of many different systems because it depends strongly on physical modeling and physical intuition. The laws of physics are in the form of differential equations and for this reason, this book concentrates on system descriptions in this form. This means coupled systems of linear or nonlinear differential equations. The physical approach is emphasized in this book because it is most natural for complex systems. It also makes what would ordinarily be a difficult mathematical subject into one which can straightforwardly be understood intuitively and which deals with concepts which engineering and science students are already familiar. In this way it is easy to immediately apply the theory to the understanding and control of ordinary systems. Application engineers, working in industry, will also find this book interesting and useful for this reason. In line with the approach set forth above, the book first deals with the modeling of systems in state space form. Both transfer function and differential equation modeling methods are treated with many examples. Linearization is treated and explained first for very simple nonlinear systems and then more complex systems. Because computer control is so fundamental to modern applications, discrete time modeling of systems as difference equations is introduced immediately after the more intuitive differential equation models. The conversion of differential equation models to difference equations is also discussed at length, including transfer function formulations. A vital problem in modern control is how to treat noise in control systems. Nevertheless this question is rarely treated in many control system textbooks because it is considered to be too mathematical and too difficult in a second course on controls. In this textbook a simple physical approach is made to the description of noise and stochastic disturbances which is easy to understand and apply to common systems. This requires only a few fundamental statistical concepts which are given in a simple introduction which lead naturally to the fundamental noise propagation equation for dynamic systems, the Lyapunov equation. This equation is given and exemplified both in its continuous and discrete time versions. With the Lyapunov equation available to describe state noise propagation, it is a very small step to add the effect of measurements and measurement noise. This gives immediately the Riccati equation for optimal state estimators or Kalman filters. These important observers are derived and illustrated using simulations in terms which make them easy to understand and easy to apply to real systems. The use of LQR regulators with Kalman filters give LQG (Linear Quadratic Gaussian) regulators which are introduced at the end of the book. Another important subject which is introduced is the use of Kalman filters as parameter estimations for unknown parameters. The textbook is divided into 7 chapters, 5 appendices, a table of contents, a table of examples, extensive index and extensive list of references. Each chapter is provided with a summary of the main points covered and a set of problems relevant to the material in that chapter. Moreover each of the more advanced chapters (3 - 7) are provided with notes describing the history of the mathematical and technical problems which lead to the control theory presented in that chapter. Continuous time methods are the main focus in the book because these provide the most direct connection to physics. This physical foundation allows a logical presentation and gives a good intuitive feel for control system construction. Nevertheless strong attention is also given to discrete time systems. Very few proofs are included in the book but most of the important results are derived. This method of presentation makes the text very readable and gives

Product Identifiers

Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642097218
eBay Product ID (ePID)
105409516

Product Key Features

Subject Area
Material Science, Mechanical Engineering
Author
Paul Haase Sorensen, Ole Jannerup, Elbert Hendricks
Publication Name
Linear Systems Control: Deterministic and Stochastic Methods
Format
Paperback
Language
English
Subject
Computer Science
Publication Year
2010
Type
Textbook
Number of Pages
555 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Item Weight
872g

Additional Product Features

Title_Author
Ole Jannerup, Paul Haase Sorensen, Elbert Hendricks
Country/Region of Manufacture
Germany

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Linear Systems Control: Deterministic and Stochastic Methods by Paul Haase Sorensen, Ole Jannerup, Elbert Hendricks (Paperback, 2010)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Australian Guidebook for Structural Engineers by Lonnie Pack (Paperback, 2019)

Eduqas GCSE (9-1) Religious Studies Route B: Catholic Christianity and Judaism by Deirdre Cleary, Andrew Barron, Joy White, Patrick Harrison (Paperback, 2017)

Time Management by Peter Quarry (Paperback, 1986)

The Ethnic Cleansing of Palestine by Ilan Pappe (Paperback, 2007)

Save on Adult Learning & University

The Australian Native Bee Hive Book: Keeping Stingless Sugarbag OATH Tim Heard

Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by A

Netter Atlas of Human Anatomy: Classic Regional Approach

Classical Mechanics: The Theoretical Minimum by George Hrabovsky

Havard's Nursing Guide to Drugs

T. Jared Bunch Matthew LaPlante John D. Day The AFib Cure (Paperback)

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