Singular perturbations and input-to-state stability

Author

Christofides, Panagiotis D. ; Tee, Andrew R.

Author_Institution

Dept. of Chem. Eng. & Mater. Sci., Minnesota Univ., Minneapolis, MN, USA

Volume

41

Issue

11

fYear

1996

fDate

11/1/1996 12:00:00 AM

Firstpage

1645

Lastpage

1650

Abstract

This paper establishes a type of total stability for the input-to-state stability property with respect to singular perturbations. In particular, if the boundary layer system is uniformly globally asymptotically stable and the reduced system is input-to-state stable with respect to disturbances, then these properties continue to hold, up to an arbitrarily small offset, for initial conditions, disturbances, and their derivatives in an arbitrarily large compact set as long as the singular perturbation parameter is sufficiently small

Keywords

asymptotic stability; singularly perturbed systems; arbitrarily small offset; boundary layer system; disturbances; initial conditions; input-to-state stability; reduced system; singular perturbations; total stability; uniformly globally asymptotically stable; Asymptotic stability; Chemical engineering; Control system synthesis; Distillation equipment; Lyapunov method; Mathematical model; Mechanical systems; Nonlinear dynamical systems; Robust stability; Stability analysis;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.544001

Filename

544001