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Sampled-Data Control for Periodic Objects

Bag om Sampled-Data Control for Periodic Objects

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.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9783031019586
  • Indbinding:
  • Paperback
  • Sideantal:
  • 280
  • Udgivet:
  • 4. februar 2024
  • Udgave:
  • 24001
  • Størrelse:
  • 155x16x235 mm.
  • Vægt:
  • 429 g.
  • 8-11 hverdage.
  • 28. november 2024
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Beskrivelse af Sampled-Data Control for Periodic Objects

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.

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