Asymptotic disturbance rejection for Hammerstein positive real systems

Author

Sane, Harshad S. ; Bernstein, Dennis S.

Author_Institution

Corning-IntelliSense Corp., Wilmington, MA, USA

Volume

11

Issue

3

fYear

2003

fDate

5/1/2003 12:00:00 AM

Firstpage

364

Lastpage

374

Abstract

We present control algorithms for stabilization and asymptotic disturbance rejection for Hammerstein systems with positive real linear dynamics. To do this, we extend the nonlinear controller modification technique of Bernstein and Haddad (1994) to include matched plant disturbances. The controller is based on a Lyapunov function that estimates the disturbance bound. These estimates are then used to construct high-gain switching controllers that guarantee convergence of the plant output while accounting for input nonlinearities.

Keywords

Lyapunov methods; control nonlinearities; nonlinear control systems; realisation theory; stability; time-varying systems; Hammerstein positive real systems; Lyapunov function; asymptotic disturbance rejection; disturbance bound; high-gain switching controllers; input nonlinearities; matched plant disturbances; nonlinear controller modification technique; positive real linear dynamics; stabilization; Actuators; Aerodynamics; Control nonlinearities; Control systems; Convergence; Electrostatics; Lyapunov method; Magnetic levitation; Micromechanical devices; Nonlinear dynamical systems;

fLanguage

English

Journal_Title

Control Systems Technology, IEEE Transactions on

Publisher

ieee

ISSN

1063-6536

Type

jour

DOI

10.1109/TCST.2003.810378

Filename

1197328