Multivariable Computer-controlled Systems: A Transfer Function Approach by Efim

The Nile on
Multivariable Computer-controlled Systems by Efim N. Rosenwasser, Bernhard P. Lampe

Shows how parametric transfer functions, which incorporate time-dependence, can be used to give an exposition of analysis and design methods for multi-input, multi-output (MIMO) sampled-data systems. Divided into three parts, this guide features appendices covering basic mathematical formulae and two MATLAB toolboxes.

FORMAT
Hardcover LANGUAGE
English CONDITION
Brand New Publisher Description

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 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 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; stochastic methods; H2 optimization and L2 design).Appendices covering basic mathematical formulae and twoMATLAB® toolboxes round out this self-contained guide.

Notes

Shows the reader how to adapt familiar transfer-function-based control for important situations to which it has not applied before

Opens up new perspectives on the solution of problems, such as the control of time-delayed systems, intractable by other means

Self-contained methodology provides the reader with everything from basic mathematical techniques to a MATLAB® toolbox to aid in sampled-data system design

Back Cover

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

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 Stochastic Excitation.- H2 Optimisation of a Single-loop Multivariable SD System.- -Design of SD Systems for 0 < t < ?.

Review

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)

Long Description

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

Review Quote

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)

Feature

Shows the reader how to adapt familiar transfer-function-based control for important situations to which it has not applied before Opens up new perspectives on the solution of problems, such as the control of time-delayed systems, intractable by other means Self-contained methodology provides the reader with everything from basic mathematical techniques to a MATLAB

Details ISBN1846284317 Author Bernhard P. Lampe Short Title MULTIVARIABLE COMPUTER-CONTROL Language English ISBN-10 1846284317 ISBN-13 9781846284311 Media Book Format Hardcover DEWEY 629.8 Year 2006 Imprint Springer London Ltd Subtitle A Transfer Function Approach Place of Publication England Country of Publication United Kingdom Affiliation St. Petersburg State Marine Technical University, St. Petersburg, Russia Pages 478 DOI AU Release Date 2006-06-28 NZ Release Date 2006-06-28 UK Release Date 2006-06-28 Publisher Springer London Ltd Edition Description 2006 ed. Series Communications and Control Engineering Edition 2006th Publication Date 2006-06-28 Audience Professional & Vocational Illustrations XVIII, 478 p. Country of Origin NL Product Class Description Technology: General & Reference Alternative 9781846284328
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