A limit to the capability of feedback

Author

Zhang, Yanxia ; Guo, Lei

Author_Institution

Inst. of Syst. Sci., Acad. Sinica, Beijing, China

Volume

47

Issue

4

fYear

2002

fDate

4/1/2002 12:00:00 AM

Firstpage

687

Lastpage

692

Abstract

Feedback is ubiquitous and is a basic concept in the area of control, where it is used primarily for reducing internal or external uncertainties, or both. In this note, we will study the capability of feedback in dealing with both internal and external uncertainties for a class of pth order nonlinear autoregressive control systems. The size of the uncertainty is described by the Lipschitz constant (say L) of the uncertain nonlinear function in consideration. It is shown that if p and L satisfy a certain inequality, then there exists no globally stabilizing feedback for the corresponding class of uncertain systems, and thus finding a quantitative limit to the capability of the feedback mechanism in dealing with structural uncertainties

Keywords

autoregressive processes; feedback; nonlinear control systems; stability; uncertain systems; Lipschitz constant; feedback capability limit; globally stabilizing feedback; nonlinear autoregressive control systems; structural uncertainties; uncertain nonlinear function; Automatic control; Computational complexity; Feedback; Friction; Hysteresis; Maxwell equations; Mechanical engineering; Noise level; Noise measurement; Nonlinear equations;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.995051

Filename

995051