| Titre : |
Multivariable Computer-controlled Systems : a transfer function approach |
| Type de document : |
texte imprimé |
| Auteurs : |
Efim N. Rosenwasser, Auteur ; Bernhard P. Lampe, Auteur |
| Editeur : |
Berlin; Heidelberg; New York : Springer-Verlag |
| Année de publication : |
2006 |
| Collection : |
Communications and Control Engineering |
| Importance : |
478 p. |
| Présentation : |
couv. ill. en coul., ill. |
| Format : |
24 cm. |
| ISBN/ISSN/EAN : |
978-1-84628-431-1 |
| Langues : |
Anglais (eng) |
| Catégories : |
AUTOMATISME
|
| Index. décimale : |
25-07 Théorie de la commande: commandes des processus |
| Résumé : |
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. |
| Note de contenu : |
Table of contents
Part I Algebraic Preliminaries.
1- Polynomial Matrices.
2- Fractional Rational Matrices.
3- Normal Rational Matrices.
Part II General MIMO Control Problems.
- Assignment of Eigenvalues and Eigenstructures by Polynomial Methods.
- Fundamentals for Control of Causal Discrete-time LTI Processes.
Part III Frequency Methods for MIMO SD Systems.
- Parametric Discrete-time Models of Continuous-time Multivariable Processes.
- Description and Stabilisaty of SD Systems
- Analysis and Synthesis of SD Systems Under Stochastic Excitation.
- H2 Optimisation of a Single-loop System
- Design of SD Systems 0 < t < ?.
-Appendices
-Index |
Multivariable Computer-controlled Systems : a transfer function approach [texte imprimé] / Efim N. Rosenwasser, Auteur ; Bernhard P. Lampe, Auteur . - Berlin; Heidelberg; New York : Springer-Verlag, 2006 . - 478 p. : couv. ill. en coul., ill. ; 24 cm.. - ( Communications and Control Engineering) . ISBN : 978-1-84628-431-1 Langues : Anglais ( eng)
| Catégories : |
AUTOMATISME
|
| Index. décimale : |
25-07 Théorie de la commande: commandes des processus |
| Résumé : |
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. |
| Note de contenu : |
Table of contents
Part I Algebraic Preliminaries.
1- Polynomial Matrices.
2- Fractional Rational Matrices.
3- Normal Rational Matrices.
Part II General MIMO Control Problems.
- Assignment of Eigenvalues and Eigenstructures by Polynomial Methods.
- Fundamentals for Control of Causal Discrete-time LTI Processes.
Part III Frequency Methods for MIMO SD Systems.
- Parametric Discrete-time Models of Continuous-time Multivariable Processes.
- Description and Stabilisaty of SD Systems
- Analysis and Synthesis of SD Systems Under Stochastic Excitation.
- H2 Optimisation of a Single-loop System
- Design of SD Systems 0 < t < ?.
-Appendices
-Index |
|  |
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