Multivariable Computer-controlled Systems

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; stochastic methods; H 2 optimization and L 2 design).

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

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 Includes supplementary material: sn.pub/extras

Autorentext

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).

Klappentext

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; *H*2 optimization and *L*2 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 mathematicalcontrol theorists and graduate students studying advanced methods of computer-based control.

Inhalt
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 < ?.