H2 and H∞ control of discrete systems with time scales

Magdi S. Mahmoud

doi:10.1109/ICSAI.2014.7009254

H₂ and H_∞ control of discrete systems with time scales

Magdi S. Mahmoud^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper addresses the feedback control design problem for a wide class of discrete-time systems possessing fast and slow modes. The slow and fast subsystems are considered to be completely controllable and observable. Based on the H_∞ optimization criteria, a two-stage design procedure is developed using separate gain matrices for the fast and slow subsystems and computed using linear matrix inequalities. A composite control is designed to yield first-order approximations to the behavior of the discrete system. A typical application is presented to illustrate the design procedure.

Original language	English
Title of host publication	2014 2nd International Conference on Systems and Informatics, ICSAI 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	28-32
Number of pages	5
ISBN (Electronic)	9781479954582
DOIs	https://doi.org/10.1109/ICSAI.2014.7009254
State	Published - 13 Jan 2015

Publication series

Name	2014 2nd International Conference on Systems and Informatics, ICSAI 2014

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

Keywords

Composite control
Discrete systems
Time-scale modeling

ASJC Scopus subject areas

Information Systems

Access to Document

10.1109/ICSAI.2014.7009254

Cite this

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H₂ and H_∞ control of discrete systems with time scales. / Mahmoud, Magdi S.
2014 2nd International Conference on Systems and Informatics, ICSAI 2014. Institute of Electrical and Electronics Engineers Inc., 2015. p. 28-32 7009254 (2014 2nd International Conference on Systems and Informatics, ICSAI 2014).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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