Recursive robust regulator for discrete-time state-space systems

Author

Cerri, João P. ; Terra, Marco H. ; Ishihara, João Y.

Author_Institution

Electr. Eng. Dept., Univ. of Sao Paulo at Sao Carlos, Sao Carlos, Brazil

fYear

2009

fDate

10-12 June 2009

Firstpage

3077

Lastpage

3082

Abstract

This paper deals with robust regulation problem for discrete-time linear systems subject to uncertainties. The uncertainties are assumed bounded. A new functional based on the combination of penalty functions and weighted game-type cost function is defined to deal with this problem. The solution provided is based on recursive Riccati equations. An interesting feature of this approach is that the recursiveness can be performed without the need of adjusting auxiliary parameters.

Keywords

Riccati equations; discrete time systems; game theory; linear systems; matrix algebra; robust control; state-space methods; uncertain systems; linear discrete-time state-space system; matrix; recursive Riccati equation; recursive robust regulator; uncertain system; weighted game-type cost function; Control systems; Cost function; Game theory; Linear matrix inequalities; Linear systems; Regulators; Riccati equations; Robust control; Robustness; Uncertainty; Discrete-time systems; game theory; minimum squares; penalty functions; robust regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2009. ACC '09.

Conference_Location

St. Louis, MO

ISSN

0743-1619

Print_ISBN

978-1-4244-4523-3

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2009.5160553

Filename

5160553