Title :
Performance robustness bounds for linear systems to guarantee root-clustering in second order subregions of the complex plane
Author :
Bakker, W. ; Luo, J.S. ; Johnson, A.
Author_Institution :
Kramers Lab., Delft Univ. of Technol., Netherlands
Abstract :
Sufficient bounds for structured and unstructured uncertainties for root-clustering in some specified second order subregions of the complex plane, for both continuous and discrete-time systems, are given using the generalized Lyapunov theory. Furthermore, for unstructured uncertainties a still less conservative result is obtained by shifting the subregion and the system matrix horizontally in the complex plane
Keywords :
Lyapunov methods; root loci; stability criteria; continuous systems; discrete-time systems; generalized Lyapunov theory; guaranteed root-clustering; horizontal shifting; linear systems; performance robustness bounds; second order complex plane subregions; structured uncertainties; subregion shifting; system matrix shifting; unstructured uncertainties; Continuous time systems; Eigenvalues and eigenfunctions; Laboratories; Linear matrix inequalities; Linear systems; Robust stability; Robustness; Symmetric matrices; Uncertain systems; Uncertainty;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325860
