ℋ∞ control problem for generalized discrete-time LTI systems

Author

Tudor, Sebastian F. ; Oara, Cristian

Author_Institution

Dept. of Autom. Control & Syst. Eng., “Politeh.” Univ. of Bucharest, Bucharest, Romania

fYear

2015

fDate

1-3 July 2015

Firstpage

4640

Lastpage

4645

Abstract

We consider in this paper the suboptimal ℋ_∞ output feedback control problem for a generalized discrete-time LTI system, whose transfer function matrix is allowed to be improper or polynomial. The parametrization of all controllers that achieve closed-loop stability and guaranteed performance is given in a realization-based setting, involves two generalized Riccati equations, and features the same elegant simplicity of the standard (proper) case. A relevant numerical example proves the effectiveness of our approach.

Keywords

H^∞ control; Riccati equations; closed loop systems; discrete time systems; feedback; stability; suboptimal control; transfer function matrices; closed-loop stability; controllers parametrization; generalized Riccati equations; generalized discrete-time LTI system; realization-based setting; suboptimal ℋ∞ output feedback control problem; transfer function matrix; Linear systems; Output feedback; Polynomials; Power system stability; Riccati equations; Standards; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2015

Conference_Location

Chicago, IL

Print_ISBN

978-1-4799-8685-9

Type

conf

DOI

10.1109/ACC.2015.7172060

Filename

7172060