Title :
Coprime matrix fraction description via orthogonal structure theorem
Author :
Datta, K.B. ; Gangopadhyay, S.
Author_Institution :
Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India
fDate :
10/1/1992 12:00:00 AM
Abstract :
An algorithm to compute the coprime matrix fraction description from a given transfer function matrix W(s) is presented. The algorithm is based on Householder transformations to compute the minimal realization of W(s) and on the orthogonal version of the structure theorem of W.A. Wolovich (1974) and of Wolovich and P.L. Falb (1969) to determine the coprime form. The proposed method is numerically less expensive than a similar algorithm given by R.V. Patel (1981) which uses singular value decomposition
Keywords :
computational complexity; matrix algebra; transfer functions; Householder transformations; coprime matrix fraction description; minimal realization; numerical expense; orthogonal structure theorem; transfer function matrix; Automatic control; Control systems; Control theory; Convergence; Large-scale systems; Linear systems; Matrix decomposition; Singular value decomposition; Transfer functions; Variable structure systems;
Journal_Title :
Automatic Control, IEEE Transactions on
