Sampled-Data Control for Periodic Objects (Hardback)

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 thefield of control theory.

Author:

Efim N. Rosenwasser, Torsten Jeinsch, Wolfgang Drewelow

Publisher:

Springer

Publication Date:

Feb 04, 2023

Number of pages:

277 pages

Language:

English

Binding:

Hardcover

ISBN-10:

3031019555

ISBN-13:

9783031019555