Nonlinear versus linear control in the robust stabilizability of linear uncertain systems via fixed-order output feedback

Author

Savkin, Andrey V. ; Petersen, Ian R.

Author_Institution

Dept. of Electr. & Electron. Eng., Western Australia Univ., Nedlands, WA, Australia

Volume

41

Issue

9

fYear

1996

fDate

9/1/1996 12:00:00 AM

Firstpage

1335

Lastpage

1338

Abstract

This paper considers the problem of robustly stabilizing an uncertain system via fixed-order output feedback control. This problem is considered by defining a notion of robust stabilizability with a quadratic storage function. This notion is closely related to the notion of quadratic stabilizability. The main result of the paper shows that if an uncertain system is robustly stabilizable with a quadratic storage function via a nonlinear time-varying controller, then it will also be robustly stabilizable with a quadratic storage function via a linear time-invariant controller of the same order

Keywords

feedback; linear systems; nonlinear control systems; robust control; uncertain systems; fixed-order output feedback; linear control; linear time-invariant controller; linear uncertain systems; nonlinear time-varying controller; quadratic stabilizability; quadratic storage function; robust stabilizability; Australia; Control systems; Nonlinear control systems; Nonlinear dynamical systems; Output feedback; Robust control; Robustness; State feedback; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.536504

Filename

536504