Computation of the stability robustness of large state space models with real perturbations

Author

Qiu, L. ; Davison, EJ

Author_Institution

Dept. of Electr. Eng., Toronto Univ., Ont., Canada

fYear

1988

fDate

7-9 Dec 1988

Firstpage

1380

Abstract

The authors address the computational problem encountered by a novel method of stability robustness analysis previously outlined, when it is applied to large systems. An iterative procedure is developed to compute the singular values and singular vectors of certain classes of large composite matrices; such a procedure can be used to solve problems which, because of dimensionality, cannot be solved by applying the QR transformation method. The procedure is then applied to the determination of stability robustness bounds of large-state-space systems with real perturbations. Various numerical examples, including a 46th-order spacecraft system, are given to illustrate the results obtained

Keywords

iterative methods; large-scale systems; matrix algebra; stability; state-space methods; 46th-order spacecraft system; iterative methods; large composite matrices; large scale systems; real perturbations; singular values; singular vectors; stability robustness; state space methods; state space models; Convergence; Discrete time systems; Eigenvalues and eigenfunctions; Iterative algorithms; Iterative methods; Robust control; Robust stability; Space vehicles; Stability analysis; State-space methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1988., Proceedings of the 27th IEEE Conference on

Conference_Location

Austin, TX

Type

conf

DOI

10.1109/CDC.1988.194552

Filename

194552