Robust disturbance attenuation with stability for linear systems with norm-bounded nonlinear uncertainties

Author

Wang, Le Yi ; Zhan, Wei

Author_Institution

Dept. of Electr. & Comput. Eng., Wayne State Univ., Detroit, MI, USA

Volume

41

Issue

6

fYear

1996

fDate

6/1/1996 12:00:00 AM

Firstpage

886

Lastpage

888

Abstract

In this paper, the problem of robust stabilization and robust disturbance attenuation is investigated for systems with linear nominal parts and norm-bounded nonlinear uncertainties on both states and control inputs. It is shown that the type of nonlinear uncertainty sets considered in this paper has an equivalent representation by linear uncertainty sets. Based on this key result and some standard Riccati inequality approaches for robust control of linear uncertain systems, a constructive design procedure is developed

Keywords

H^∞ control; Riccati equations; asymptotic stability; control system synthesis; linear systems; robust control; state feedback; state-space methods; uncertain systems; Riccati inequality; asymptotic stability; disturbance attenuation; linear systems; norm-bounded nonlinear uncertainty; robust control; robust stabilization; stability; state feedback; uncertain systems; Attenuation; Control systems; Linear systems; Nonlinear control systems; Riccati equations; Robust control; Robust stability; Standards development; Uncertain systems; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.506244

Filename

506244