Title :
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
fDate :
10/1/1992 12:00:00 AM
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;
Journal_Title :
Automatic Control, IEEE Transactions on
