Title :
ℋ∞ and ℋ2 robust design techniques for static prefilters
Author_Institution :
Fac. de Ingenieria, Univ. de la Republica, Montevideo, Uruguay
Abstract :
The problem studied in this paper is to obtain the optimal robust performance achievable by a static prefilter in the presence of structured uncertainty. The performance indexes we adopt are the ℋ ∞ and ℋ2 norms, and we consider either linear time-invariant (LTI) or linear time varying (LTV) uncertainties. It is shown that the optimal solutions for the LTV cases can be obtained by solving finite dimensional convex problems. The LTI cases can be posed as (infinite dimensional) convex problems, for which several algorithms are available that dispense with the classical 𝒟-𝒦 iteration
Keywords :
H∞ control; closed loop systems; control system synthesis; feedback; filtering theory; robust control; transfer functions; uncertain systems; ℋ∞ robust design techniques; ℋ2 robust design techniques; finite dimensional convex problems; infinite dimensional convex problems; linear time varying uncertainties; linear time-invariant uncertainties; optimal robust performance; performance indexes; static prefilters; structured uncertainty; Adaptive control; Attenuation; Control systems; Costs; Feedback; Robust stability; Robustness; Steady-state; Transfer functions; Uncertainty;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574304
