Title :
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
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;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194552
