Title :
Computation of coprime factorizations of rational matrices
Author_Institution :
Inst. for Robotics & Syst. Dynamics, German Aerosp. Res. Establ., Oberpfaffenhofen, Germany
Abstract :
We propose a numerically reliable state space algorithm for computing coprime factorizations of rational matrices with factors having poles in a given stability domain. The new algorithm is based on a recursive generalized Schur technique for poles dislocation by means of proportional-derivative state feedback. The proposed algorithm is generally applicable regardless the underlying descriptor state space representation is minimal or not, or is stabilizable/detectable or not
Keywords :
matrix decomposition; poles and zeros; stability; state feedback; state-space methods; two-term control; coprime factorizations; descriptor state space representation; numerically reliable state space algorithm; poles dislocation; proportional-derivative state feedback; rational matrices; recursive generalized Schur technique; stability domain; Computational complexity; Linear systems; Orbital robotics; Poles and zeros; Polynomials; Robustness; Software algorithms; Stability; State feedback; State-space methods;
Conference_Titel :
Decision and Control, 1997., Proceedings of the 36th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4187-2
DOI :
10.1109/CDC.1997.649787
