Robust stability and performance analysis of sampled-data systems

Author

Sivashankar, N. ; Khargonekar, Pramod P.

Author_Institution

Dept. of Electr. Eng. & Comput. Sci., Michigan Univ., Ann Arbor, MI, USA

Volume

38

Issue

1

fYear

1993

fDate

1/1/1993 12:00:00 AM

Firstpage

58

Lastpage

69

Abstract

The authors consider the robust stability and performance analysis of a general linear interconnection of a continuous-time plant and a discrete-time controller via sample and hold devices. They obtain necessary and sufficient conditions for the robust stability of the feedback system consisting of an uncertain plant represented as a known linear time-invariant (nominal) model with time-varying norm bounded uncertainty and a shift-invariant, discrete-time controller. These results show that the condition arising from the small gain theorem is necessary and sufficient when the uncertainties belong to a class of linear systems. Also similar results are derived for a case of structured uncertainty. Both L₂ and L_∞ signal norms are considered. Robust performance analysis problem is solved by converting it to a robust stability analysis problem

Keywords

control system analysis; discrete time systems; feedback; linear systems; sampled data systems; stability; L_∞ signal norms; L₂ signal norms; continuous-time plant; control system analysis; discrete-time controller; feedback system; general linear interconnection; necessary and sufficient conditions; performance analysis; robust stability; sample and hold devices; sampled-data systems; small gain theorem; structured uncertainty; Analog-digital conversion; Control systems; Linear feedback control systems; Linear systems; Performance analysis; Robust stability; Stability analysis; Sufficient conditions; Time varying systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.186312

Filename

186312