Computer-Controlled Systems with Delay: A Transfer Function Approach

✍ Scribed by Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch

• Publisher: Springer International Publishing
• Year: 2019
• Tongue: English
• Leaves: 524
• Edition: 1st ed.
• Category: Library

✦ Synopsis

Computer-Controlled Systems with Delay is a systematic study of the problems of analysis and synthesis for multidimensional sampled-data (SD) systems with delay. It is based on the frequency polynomial method, in which the concept of a parametric transfer matrix (PTM) plays a key role. Until now, no alternative general methods have been available to solve the above problems.

The text is divided into three parts:

• background information from the theory of polynomial and rational matrices, helps the reader to acquire the basic understanding necessary to use the main content of the book without addressing additional sources;
  
• methods for the mathematical description of multidimensional SD systems with delay, based on the concept of the PTM; and
  
• optimization methods for multidimensional SD systems with delay, including H₂ and L₂ optimization as well as H₂ optimization for colored input signals.
  

The monograph is completed by three appendices. An algorithm for constructing the set of pathological sampling periods for a continuous SISO object with delay is provided first. MATLAB®-toolbox algorithms representing methods described in the book and application examples for selected optimization problems are given in the second. A solution to the problem of guaranteeing the required performance in a class of stochastic disturbances for SD systems with delay is considered in the third.

Computer-Controlled Systems with Delay is intended for engineers, scientists and teachers working in modern control theory. It will also benefit post-graduate students taking courses in related disciplines. The book continues the description of the authors’ research results on developing methods for SD systems theory which are based on the PTM concept and published in the monographs Computer Controlled Systems and Multivariable Computer-controlled Systems.

✦ Table of Contents

Front Matter ....Pages i-xix
Front Matter ....Pages 1-1
Polynomial Matrices (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 3-28
Fractional-Rational Matrices (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 29-83
Determinant Polynomial Equations and Modal Control Problem for Discrete Processes (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 85-153
Front Matter ....Pages 155-155
Modal Control and Stabilization of Multivariable Sampled-Data Systems with Delay (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 157-193
Parametric Discrete Models of Multivariable Continuous Processes with Delay (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 195-233
Mathematical Description of Standard Sampled-Data Systems with Delay (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 235-287
Front Matter ....Pages 287-287
(\mathscr {H}_2) Optimization and Fixed Poles of the Standard Model for SD Systems with Delay (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 291-343
(\mathscr {H}_2) Optimization and Fixed Poles for the Standard Model of SD Systems with Delay Under Colored Noise (Efim N. Rosenwasser, Bernhard Lampe, Torsten Jeinsch)....Pages 345-376
(\mathscr {L}_2) Tracking Problem for the Standard Model of SD Systems with Delay (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 377-406
Mathematical Description and Optimization for the Generalized Standard Model of SD Systems with Delay (Efim N. Rosenwasser, Bernhard P. Lampe, Torsten Jeinsch)....Pages 407-447
Back Matter ....Pages 449-519

✦ Subjects

Engineering; Control; Systems Theory, Control