Title :
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
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;
Conference_Titel :
American Control Conference (ACC), 2015
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4799-8685-9
DOI :
10.1109/ACC.2015.7172060
