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[formula omitted]-optimal control of systems with multiple i/o delays: Time domain approach

Authors
Journal
Automatica
0005-1098
Publisher
Elsevier
Publication Date
Volume
41
Issue
7
Identifiers
DOI: 10.1016/j.automatica.2005.01.016
Keywords
  • Time Delay Systems
  • H2Control
  • Lqg Control

Abstract

Abstract In this paper the H 2 -optimal control problem of systems with multiple i/o delays is presented. The problem is first converted to an equivalent H 2 regulator problem with multiple delays. The idea is to view the regulator problem in time-domain as a linear quadratic regulator problem with multiple input delays. It is shown that the rational part of the optimal controller has the same dimension as the plant and the non-rational part may be chosen to have finite impulse response. Furthermore, the regulator problem solution is also used to solve the H 2 filtering problem with multiple measurement delays.

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