Title :
Geometric state space model reduction for linear systems
Author :
Carroll, S.M. ; Dickinson, B.W.
Author_Institution :
Dept. of Electr. Eng., Princeton Univ., NJ, USA
Abstract :
The authors propose a state-space technique for the model-reduction problem based on the total-least-squares principle. An explicit algorithm is given for discrete-time linear systems, and simulation results are presented for unit pulse response error and numerical stability. Similar tests have been run for balancing and aggregation, and the relative performances of the methods are compared
Keywords :
discrete time systems; linear systems; state-space methods; discrete time systems; geometric state space model reduction; linear systems; numerical stability; total-least-squares; unit pulse response error; Cost function; Least squares approximation; Least squares methods; Linear systems; Numerical stability; Performance evaluation; Reduced order systems; State-space methods; Testing; Transfer functions;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194498