Sufficient conditions for invariance control of a class of nonlinear systems

Author

Mareczek, Jörg ; Buss, Martin ; Schmidt, Günther

Author_Institution

Inst. of Autom. Control Eng., Tech. Univ. Munchen, Germany

Volume

2

fYear

2000

fDate

2000

Firstpage

1900

Abstract

This paper addresses control of nonlinear, control input affine systems coupled with a controllable linear subsystem via state and control variables. The proposed method of invariance control achieves positive invariance of a state space region and exponential stability of the linear subsystem. A design method for a switching controller and sufficient conditions for positive invariance are presented. The proposed theory is illustrated by simulations of a nonminimum phase system with partly stable zero-dynamics

Keywords

asymptotic stability; control system synthesis; invariance; nonlinear control systems; state-space methods; control input affine systems; control variables; controllable linear subsystem; exponential stability; invariance control; linear subsystem; nonlinear systems; nonminimum phase system; partly stable zero-dynamics; positive invariance; positive invariance conditions; state space region; state variables; sufficient conditions; switching controller design; Automatic control; Control systems; Couplings; Design methodology; Nonlinear control systems; Nonlinear dynamical systems; Nonlinear systems; Robust stability; State-space methods; Sufficient conditions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2000. Proceedings of the 39th IEEE Conference on

Conference_Location

Sydney, NSW

ISSN

0191-2216

Print_ISBN

0-7803-6638-7

Type

conf

DOI

10.1109/CDC.2000.912140

Filename

912140