A method for verifying sector conditions in nonlinear discrete-time control systems

Author

Mutoh, Y. ; Nikiforuk, P.N.

Author_Institution

Dept. of Mech. Eng., Sophia Univ., Tokyo, Japan

Volume

37

Issue

10

fYear

1992

fDate

10/1/1992 12:00:00 AM

Firstpage

1505

Lastpage

1509

Abstract

The stability of a discrete feedback system with a continuous broken-line nonlinearity is considered. Many nonlinearities in practice are included in this class. Sufficient conditions for this type of nonlinear feedback system to be asymptotically stable in the large are developed using the contraction mapping theory. It is then shown that Kalman´s conjecture (1957) for a feedback system with a sector nonlinearity also applies to discrete systems under a restricted sector condition. A method for obtaining this restricted sector by solving a quadratic equation is presented

Keywords

control system analysis; discrete time systems; feedback; nonlinear control systems; stability criteria; continuous broken-line nonlinearity; contraction mapping theory; feedback; nonlinear discrete-time control systems; quadratic equation; restricted sector condition; sector condition verification; stability; Control nonlinearities; Control systems; Feedback; Linearity; Mechanical engineering; Nonlinear control systems; Nonlinear equations; Nonlinear systems; Stability analysis; Sufficient conditions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.256369

Filename

256369