Robust stability of uncertain systems with input delay and output feedback controller

Author

Fong, I-Kong ; Jou, Chii Ruey

Author_Institution

Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan

Volume

2

fYear

1994

fDate

3-5 Aug 1994

Firstpage

1351

Abstract

The robust stability of systems with parametric uncertainties, input delays, and output feedback controllers is analyzed in this paper. First, the stability condition of nominal systems is expressed in terms of the eigenvalues of a Hamiltonian matrix. Then, for the nominally stable uncertain systems, a new method based on structured singular value and linear fractional transformation techniques is proposed, so that the Lyapunov stability theory can be used to find a set of uncertain parameters within which the systems remain stable. Finally, it is remarked that the results can be extended to uncertain systems with multiple time delays

Keywords

Lyapunov methods; control system analysis; delays; eigenvalues and eigenfunctions; feedback; matrix algebra; robust control; uncertain systems; Hamiltonian matrix; Lyapunov stability theory; eigenvalues; input delay; linear fractional transformation; multiple time delays; output feedback controller; parametric uncertainties; robust stability; stability condition; structured singular value; uncertain systems; Control system analysis; Control systems; Delay effects; Delay systems; Eigenvalues and eigenfunctions; Lyapunov method; Output feedback; Robust stability; Uncertain systems; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on

Conference_Location

Lafayette, LA

Print_ISBN

0-7803-2428-5

Type

conf

DOI

10.1109/MWSCAS.1994.519059

Filename

519059