A graphical test for robust stability with distributed feedback

Author

Verriest, Erik I.

Author_Institution

Sch. of Electr. & Comput. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

fYear

1997

fDate

1-7 July 1997

Firstpage

3637

Lastpage

3642

Abstract

The performance of a nominally designed state feedback control for a linear systems is analyzed in the case that the information, available at time t for feedback, consists of a functional of the state over the interval [t - T, t]. Sufficient conditions are given for the stability and asymptotic stability, independent of the matrix valued weight functions on the delay-perturbed state. These sufficient conditions lead to new graphical criteria, akin to the Nyquist criterion, to obtain the delay perturbation stability margin.

Keywords

Nyquist criterion; asymptotic stability; delays; linear systems; matrix algebra; perturbation techniques; state feedback; Nyquist criterion; asymptotic stability; delay perturbation stability margin; delay-perturbed state; distributed feedback; graphical criteria; graphical test; linear systems; matrix valued weight functions; nominally designed state feedback control; robust stability; sufficient conditions; Asymptotic stability; Delays; Robust stability; Robustness; Shape; Stability criteria; Delay systems; feedback stabilization; robust stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 1997 European

Conference_Location

Brussels

Print_ISBN

978-3-9524269-0-6

Type

conf

Filename

7082680