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.
General
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