Periodic Systems

Filtering and Control

  • Sergio Bittanti
  • Patrizio Colaneri

Part of the Communications and Control Engineering book series (CCE)

Table of contents

About this book


The advantages of periodic control have been known since humanity learned to cultivate crops in rotation to increase production. In more recent times, it has been recognized that some industrial and technological systems also work or function better in a periodic fashion. Moreover, with periodic control laws it has been possible to solve problems for which no time-invariant solution exists. Periodic models are also able to describe the intrinsic periodicity in many natural phenomena and time series.

Periodic Systems gives a comprehensive treatment of the theory of time-varying dynamical systems with periodic coefficients, with special focus on the problems of filtering and control.

Topics covered include:

• basic issues like Floquet theory, controllability and observability, canonical decomposition, system norms and Lyapunov and robust stability;

• the problem of state estimation in its various forms, filtering, prediction and smoothing;

• control design methods, particularly optimal and robust control.

The text focuses on discrete-time signals and systems; however, an overview of the entire field, including the continuous-time case, is provided in the first chapter. The authors’ presentation of the theory and results is mathematically rigorous while maintaining a readable style, avoiding excessive formalism. This makes the book accessible to graduate students and researchers from the fields of engineering, physics, economics and mathematics.


Control Control Theory Dynamical Systems Feedback Systems Filtering Floquet-Lyapunov Theory Helicopters Periodic Systems Satellite Attitude Control Stabilization actor rotation stability

Authors and affiliations

  • Sergio Bittanti
    • 1
  • Patrizio Colaneri
    • 1
  1. 1.Dipartimento di Elettronica e Informazione (DEI)Politecnico di MilanoMilanoItaly

Bibliographic information

  • DOI
  • Copyright Information Springer London 2009
  • Publisher Name Springer, London
  • eBook Packages Engineering
  • Print ISBN 978-1-84800-910-3
  • Online ISBN 978-1-84800-911-0
  • Series Print ISSN 0178-5354
  • Buy this book on publisher's site