Sampled-Data Control for Periodic Objects

By: Efim N. Rosenwasser, Torsten Jeinsch, Wolfgang Drewelow

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eText | 2 February 2023

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This book is devoted to the problem of sampled-data control of finite-dimensional linear continuous periodic (FDLCP) objects. It fills a deficit in coverage of this important subject. The methods presented here are based on the parametric transfer matrix, which has proven successful in the study of sampled-data systems with linear time-invariant objects. The book shows that this concept can be successfully transferred to sampled-data systems with FDLCP objects. It is set out in five parts:

· · an introduction to the frequency approach for the mathematical description of FDLCP objects including the determination of their structure and their representation as a serial connection of periodic modulators and a linear time-invariant object;

· construction of parametric transfer matrix for different types of open and closed sampled-data systems with FDLCP objects;

· the solution of problems of causal modal control of FDLCP objects based on the mathematical apparatus of determinant polynomial equations;

· consideration of the problem of constructing a quadratic quality functional for the H2-optimization problem of a single-loop synchronous sampled-data system with control delay;

· description of the general H2-optimization procedure.

Necessary mathematical reference material is included at relevant points in the book.

Sampled-Data Control for Periodic Objects is of use to: scientists and engineers involved in research and design of systems of systems with FDLCP objects; graduate students wishing to broaden their scope of competence; their instructors; and mathematicians working in the field of control theory.