Title :
Estimates of the singular perturbation parameter for stability, controllability, and observability of linear systems
Author :
Shahruz, S.M. ; Packard, A.K.
Author_Institution :
Berkeley Eng. Res. Inst., CA, USA
Abstract :
The dynamics of singularly perturbed systems can be approximated by the dynamics of the corresponding reduced-order and the boundary layer subsystems for sufficiently small values of the singular perturbation parameter. Estimates of the singular perturbation parameter are obtained so that, if the singular perturbation parameter is less than these estimates, the stability, controllability, and observability of linear singularly perturbed systems can be deduced from those of the corresponding reduced-order and boundary layer subsystems
Keywords :
controllability; dynamics; linear systems; observability; parameter estimation; stability; boundary layer subsystems; controllability; dynamics; linear systems; observability; reduced order subsystems; singular perturbation parameter estimation; singularly perturbed systems; stability; Bismuth; Control systems; Controllability; Eigenvalues and eigenfunctions; Linear systems; MIMO; Mechanical engineering; Observability; Parameter estimation; Stability; Symmetric matrices;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.371057
