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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.
Front Matter
Front Matter
Polynomial Matrices
Fractional-Rational Matrices
Determinant Polynomial Equations and Modal Control Problem for Discrete Processes
Front Matter
Modal Control and Stabilization of Multivariable Sampled-Data Systems with Delay
Parametric Discrete Models of Multivariable Continuous Processes with Delay
Mathematical Description of Standard Sampled-Data Systems with Delay
Front Matter
\(\mathscr {H}_2\) Optimization and Fixed Poles of the Standard Model for SD Systems with Delay
\(\mathscr {H}_2\) Optimization and Fixed Poles for the Standard Model of SD Systems with Delay Under Colored Noise
\(\mathscr {L}_2\) Tracking Problem for the Standard Model of SD Systems with Delay
Mathematical Description and Optimization for the Generalized Standard Model of SD Systems with Delay
Back Matter