Multivariable Computer-controlled Systems: A Transfer Function Approach

by Efim N. Rosenwasser, Bernhard P. Lampe

Overview

Although the transfer function approach is widely used in classical control theory, computer-controlled continuous-time processes are a very important subset of periodic sampled-data systems which are not treatable using ordinary transfer functions.

The authors show how parametric transfer functions, which incorporate time-dependence, can be used to give a complete exposition of analysis and design methods for multi-input, multi-output (MIMO) sampled-data systems.

Multivariable Computer-controlled Systems is divided into three parts:

- Preliminary algebraic material necessary in later chapters.

- Control problems, important in their own right but also having a substantial bearing on what follows.

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

Appendices covering basic mathematical formulae and two MATLAB^® toolboxes round out this self-contained guide.

Product Details

ISBN-13:	9781846284311
Publisher:	Springer London
Publication date:	07/13/2006
Series:	Communications and Control Engineering
Edition description:	2006
Pages:	478
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

About the Author

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 Rosk, 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).

Table of Contents

Algebraic Preliminaries.- Polynomial Matrices.- Fractional Rational Matrices.- Normal Rational Matrices.- General MIMO Control Problems.- Assignment of Eigenvalues and Eigenstructures by Polynomial Methods.- Fundamentals for Control of Causal Discrete-time LTI Processes.- Frequency Methods for MIMO SD Systems.- Parametric Discrete-time Models of Continuous-time Multivariable Processes.- Mathematical Description, Stability and Stabilisation of the Standard Sampled-data System in Continuous Time.- Analysis and Synthesis of SD Systems Under Shastic Excitation.- H2 Optimisation of a Single-loop Multivariable SD System.- -Design of SD Systems for 0 < t <—.

Editorial 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)

From the Publisher