Revisiting the problem of robust H∞ control with regional pole location of uncertain discrete-time systems with delayed states

Author

Teixeira, Marlon H. ; Leite, Valter J. S. ; Silva, Luis F. P. ; Goncalves, Eduardo N.

Author_Institution

Campus Divinopolis, CEFET-MG, Divinopolis, Brazil

fYear

2013

fDate

10-13 Dec. 2013

Firstpage

922

Lastpage

927

Abstract

In this note we consider the problem of robust stabilization of the class of uncertain discrete-time systems with constant and bounded delay in the state. Such a stabilization is proposed considering performance issues such as H_∞-guaranteed cost and the regional pole location of the closed loop system. We revisit this problem with an approach based on Lyapunov-Krasovskii function, avoiding the classical one which is directly based on the system augmentation. For this proposal, we found an auxiliary system with multiple delays in the state such that if it is Schur-stable then the original state delayed system has a specified regional pole location. All system matrices are supposed to belong to a polytopic set with known vertices. Some numerical examples are given to illustrate the proposal.

Keywords

H^∞ control; closed loop systems; delays; discrete time systems; robust control; uncertain systems; Lyapunov-Krasovskii function; auxiliary system; bounded delay; closed loop system; constant delay; delayed states; polytopic set; regional pole location; robust H_∞ control; robust stabilization; uncertain discrete-time systems; Closed loop systems; Delays; Discrete-time systems; Robustness; Stability analysis; State feedback; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on

Conference_Location

Firenze

ISSN

0743-1546

Print_ISBN

978-1-4673-5714-2

Type

conf

DOI

10.1109/CDC.2013.6760000

Filename

6760000