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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