Title :
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
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;
Conference_Titel :
Circuits and Systems, 1994., Proceedings of the 37th Midwest Symposium on
Conference_Location :
Lafayette, LA
Print_ISBN :
0-7803-2428-5
DOI :
10.1109/MWSCAS.1994.519059
