Sampled-Data Control for Periodic Objects

This book discusses sampled-data control of finite-dimensional linear continuous periodic (FDLCP) objects, which fills a coverage gap in the literature. It presents methods based on the parametric transfer matrix, which has been successful in studying sampled-data systems with linear time-invariant objects. The book is organized into five parts and covers topics such as the frequency approach, parametric transfer matrix construction, causal modal control, quadratic quality functional, and H2 optimization. It is intended for scientists, engineers, graduate students, instructors, and mathematicians interested in control theory and systems with FDLCP objects.

Format: Hardback
Length: 263 pages
Publication date: 04 February 2023
Publisher: Springer International Publishing AG

This comprehensive book delves into the realm of sampled-data control for finite-dimensional linear continuous periodic (FDLCP) objects, addressing a notable gap in coverage within this field. By employing the parametric transfer matrix, which has demonstrated efficacy in studying sampled-data systems with linear time-invariant objects, the book showcases the successful application of this concept to sampled-data systems with FDLCP objects. The book is organized into five distinct parts:

• An introduction to the frequency approach for mathematically describing FDLCP objects, encompassing their structure determination, representation as a serial connection of periodic modulators, and their connection with linear time-invariant objects.
• The construction of parametric transfer matrices for diverse types of open and closed sampled-data systems with FDLCP objects, enabling the analysis and design of these systems.
• The resolution of problems related to causal modal control of FDLCP objects, utilizing the mathematical tools of determinant polynomial equations.
• The exploration 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.
• A detailed description of the general H2-optimization procedure, providing a comprehensive framework for designing efficient control systems.

Throughout the book, pertinent mathematical reference material is provided at relevant junctures to enhance the understanding of the subject matter. Sampled-Data Control for Periodic Objects serves as a valuable resource for a wide range of individuals and groups, including:

• Scientists and engineers engaged in research and development of systems of systems incorporating FDLCP objects.
• Graduate students seeking to expand their expertise in this domain.
• Their instructors.
• Mathematicians specializing in control theory.

Weight: 588g
Dimension: 235 x 155 (mm)
ISBN-13: 9783031019555
Edition number: 1st ed. 2022