Semi-global stabilizability of linear null controllable systems with input nonlinearities

Author

Teel, Andrew R.

Author_Institution

Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA

Volume

40

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

96

Lastpage

100

Abstract

An H_∞-based Lyapunov proof is provided for a result established by Lin and Saberi (1993): if a linear system is asymptotically null controllable with bounded controls then, when subject to input saturation, it is semi-globally stabilizable by linear state feedback. A new result is that if the system is also detectable then it is semi-global stabilizable by completely linear output feedback. Further, an extension which relaxes the requirements on the input characteristic is obtained

Keywords

H^∞ control; Lyapunov methods; control nonlinearities; controllability; stability; state feedback; H_∞-based Lyapunov proof; bounded controls; completely linear output feedback; input nonlinearities; input saturation; linear asymptotically null controllable system; linear state feedback; semi-global stabilizability; Control nonlinearities; Control systems; Hydraulic actuators; Linear feedback control systems; Linear systems; Nonlinear control systems; Open loop systems; Output feedback; Robust stability; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.362894

Filename

362894