Rational multiplier IQCs for uncertain time-delays and LMI stability conditions

Author

Jun, Myungsoo ; Safonov, Michael G.

Author_Institution

Sibley Sch. of Mech. & Aerosp. Eng., Cornell Univ., Ithaca, NY, USA

Volume

47

Issue

11

fYear

2002

fDate

11/1/2002 12:00:00 AM

Firstpage

1871

Lastpage

1875

Abstract

Describes a set of delay-dependent integral quadratic constraint (IQC) stability conditions for time-delay uncertainty. The IQCs are linearly parameterized in terms of a pair of rational stability multipliers, each active over one of a pair of complementary frequency intervals. Using the finite-frequency positive real lemma, each of these finite-frequency IQC conditions are shown to be equivalent to a frequency-independent linear matrix inequality condition, thereby dispensing with the need for frequency-sweeping.

Keywords

delay systems; linear matrix inequalities; robust control; stability criteria; uncertain systems; LMI stability conditions; complementary frequency intervals; finite-frequency positive real lemma; frequency-independent linear matrix inequality condition; rational multiplier integral quadratic constraints; rational stability multipliers; uncertain time-delays; Aerospace engineering; Constraint theory; Delay effects; Frequency; Linear matrix inequalities; Robust control; Robust stability; Robustness; Stability criteria; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2002.804477

Filename

1047013