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Communications and Control Engineering
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Multivariable Computer-controlled Systems

A Transfer Function Approach

Authors: Rosenwasser, Efim N., Lampe, Bernhard

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About this book

The transfer function approach is widely used in classical control theory for its easy handling and physical meaning. Although the use of transfer functions is well-established for linear time-invariant systems, it is not suitable for non-stationary systems among which are sampled-data systems and processes with periodically varying coefficients. Computer-controlled continuous-time processes are a very important subset of periodic sampled-data systems which are not treatable using ordinary transfer functions.

Having established the ability of the parametric transfer function to solve this problem for single-input, single-output systems in previous work, the authors extend these methods, which incorporate time-dependence, to the idea of the parametric transfer matrix in a complete exposition of analysis and design methods for multiple-input, multiple-output (MIMO) sampled-data systems.

Multivariable Computer-controlled Systems is divided into three parts:

• Preliminary algebraic material describing the established fundamentals of polynomial and rational matrices necessary for the understanding of later chapters.

• Control problems, important in their own right but which also have a substantial bearing on what follows (eigenvalue assignment and the use of z- and zeta-transforms in discrete systems).

• Frequency methods for the investigation of MIMO sampled-data systems (parametric discrete-time models; stability; stochastic methods; H2 optimization and L2 design).

Appendices covering basic mathematical formulae and the description of two MATLAB® toolboxes round out this self-contained guide to multivariable control systems.

Of special interest to researchers in automatic control and to development engineers working with advanced control technology, Multivariable Computer-controlled Systems will also interest mathematical control theorists and graduate students studying advanced methods of computer-based control.

About the authors

E.N. Rosenwasser holds the chair for automated ship complexes at the State University of Ocean Technology of Saint Petersburg, Russia. Prof. Rosenwasser is one of the leading Russian control scientists. His research results are published in more than 200 publications including 15 monographs.

Bernhard P. Lampe is Professor for automatic control at the Institute of Automation, Department Electrical Engineering and Computer Sciences at the University of Rostock, Germany. Prof. Lampe is initiator and leader of numerous research projects in theory and application of advanced control methods, as well as author and co-author of more than 250 publications including 5 monographs.

In cooperation both authors wrote the Communications and Control Engineering monograph Computer Controlled Systems, (1-85233-307-3, 2000).

Reviews

From the reviews:

"The monograph throws the bridge between continuous and discrete control systems. … The authors extend known approaches to achieve a comprehensive analysis of computer control systems belonging to the class of sampled data systems. … The book contains also an Appendix providing additional mathematical problems, description of the toolbox for optimal design multivariable sampled data systems and design towards achieving a guaranteed control system performance. The book is very interesting for researchers and graduate students who want to extend their knowledge on modern control systems." (Krzysztof Galkowski, Zentralblatt MATH, Vol. 1123 (1), 2008)

“Multivariable Computer-Controlled Systems is dedicated to the theory of multivariable control systems, and the material is presented in a formal, mathematical style. … The book also contains several appendices, including a description of a Matlab toolbox for controller design. … the authors have done an admirable job in collecting the necessary material in one place … . experts will no doubt value the book for its concise presentation and its focused approach … .” (Matthew C. Turner, IEEE Control Systems Magazine, Vol. 28, December, 2008)


Table of contents (10 chapters)

Table of contents (10 chapters)
  • Polynomial Matrices

    Pages 3-51

  • Fractional Rational Matrices

    Pages 53-104

  • Normal Rational Matrices

    Pages 105-145

  • Assignment of Eigenvalues and Eigenstructures by Polynomial Methods

    Pages 149-181

  • Fundamentals for Control of Causal Discrete-time LTI Processes

    Pages 183-238

Buy this book

eBook $149.00
price for USA in USD (gross)
  • ISBN 978-1-84628-432-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.99
price for USA in USD
  • ISBN 978-1-84628-431-1
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
Softcover $199.99
price for USA in USD
  • ISBN 978-1-84996-600-9
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Multivariable Computer-controlled Systems
Book Subtitle
A Transfer Function Approach
Authors
Series Title
Communications and Control Engineering
Copyright
2006
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-432-8
DOI
10.1007/1-84628-432-5
Hardcover ISBN
978-1-84628-431-1
Softcover ISBN
978-1-84996-600-9
Series ISSN
0178-5354
Edition Number
1
Number of Pages
XVIII, 478
Topics

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