Title :
H∞ control for singularly perturbed systems with parametric uncertainties
Author :
Shi, Peng ; Dragan, Vasile
Author_Institution :
Centre for Ind. & Appl. Math., Univ. of South Australia, The Levels, SA, Australia
Abstract :
This paper studies the problem of robust control of a class of singularly perturbed linear continuous-time systems with parameter uncertainty. First, under certain conditions, we derive a stabilizing and γ-attenuating controller for the singularly perturbed nominal system for all ε ∈ (0, ε1]. Then our attention is focused on the design of a composite linear controller based on the slow and fast problems such that both robust stability and a prescribed H∞ performance for the full-order system are achieved, irrespective of the uncertainties
Keywords :
H∞ control; control system synthesis; linear systems; robust control; singularly perturbed systems; uncertain systems; γ-attenuating controller; H∞ control; composite linear controller design; full-order system; parametric uncertainties; robust control; robust stability; singularly perturbed linear continuous-time systems; singularly perturbed nominal system; Control systems; Electrical equipment industry; Game theory; Linear systems; Mathematics; Riccati equations; Robust control; Robust stability; Uncertain systems; Uncertainty;
Conference_Titel :
American Control Conference, 1997. Proceedings of the 1997
Conference_Location :
Albuquerque, NM
Print_ISBN :
0-7803-3832-4
DOI :
10.1109/ACC.1997.611065
