Linear H control of autonomous systems

Yury V. Orlov, Luis T. Aguilar

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

The linear H -control theory makes extensive use of transfer functions, which are revised in this chapter. The H norm is introduced in the Hardy space of stable transfer matrices, and its optimization is given for linear-controlled plants in terms of two algebraic Riccati equations with a separation structure reminiscent of the classical linear quadratic Gaussian theory. An alternative H synthesis, relying on two algebraic Riccati inequalities, is developed for later extension to nonsmooth setting.

Original languageEnglish
Title of host publicationSystems and Control
Subtitle of host publicationFoundations and Applications
PublisherBirkhauser
Pages5-21
Number of pages17
Edition9781493902910
DOIs
StatePublished - 2014
Externally publishedYes

Publication series

NameSystems and Control: Foundations and Applications
Number9781493902910
ISSN (Print)2324-9749
ISSN (Electronic)2324-9757

Keywords

  • Disturbance attenuation
  • LMI
  • State-space representation
  • Transfer function

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