Title :
State-space solution to the periodic multirate H∞ control problem: a lifting approach
Author :
Sagfors, Mats F. ; Toivonen, Hannu T. ; Lennartson, Bengt
Author_Institution :
Dept. of Chem. Eng., Abo Akad. Univ., Abo, Finland
Abstract :
A state-space solution to the H∞ control problem for periodic multirate systems is presented. The solution is based on the lifting method, where an equivalent time invariant system description is derived for the original periodic multirate problem. The H∞-optimal controller for the multirate system is expressed in terms of two algebraic Riccati equations. The so-called causality constraints are represented by a set of positive definiteness conditions and coupling criteria
Keywords :
H∞ control; Riccati equations; discrete time systems; periodic control; state-space methods; algebraic Riccati equations; coupling criteria; equivalent time invariant system description; lifting approach; periodic multirate H∞ control problem; positive definiteness conditions; state-space solution; Character generation; Control system synthesis; Control systems; Equations; Optimal control; Output feedback; Signal generators; State estimation; State feedback;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.657070
