Title :
Balanced singular perturbation approximation of coinner transfer-function matrices
Author_Institution :
Dept. of Mech. Eng., Ruhr-Univ. of Bochum, Germany
Abstract :
It is shown that the balanced singular perturbation approximation of a coinner (inner) transfer-function matrix is coinner (inner). The result is proved for both continuous and discrete systems. The main application of this result is in coprime factors model reduction. It is shown that the singular perturbation approximations of normalized coprime factors are normalized
Keywords :
approximation theory; control system analysis; control system synthesis; controllability; matrix algebra; observability; perturbation techniques; transfer functions; balanced singular perturbation approximation; coinner transfer-function matrices; continuous systems; controllability; coprime factors model reduction; discrete systems; normalized coprime factors; observability; Bismuth; Continuous time systems; Controllability; Equations; Frequency; Mechanical engineering; Observability; Reduced order systems; Stability;
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.1992.371692
