Title :
A new method for block partial fraction expansion of matrix fraction descriptions
Author_Institution :
Div. of Eng., Brown Univ., Providence, RI, USA
fDate :
12/1/1991 12:00:00 AM
Abstract :
The block-observability form is used to develop a method for finding the block partial fraction expansion of an irreducible right or left matrix fraction description with distinct and/or repeated solvents of the denominator matrix polynomials. The new formulas ar very simple and only require that the block Vandermonde matrix be formed from the right or left solvents. All the matrix residues of the expansion are found simultaneously by a simple matrix manipulation and the formulas are suitable for digital computer application
Keywords :
matrix algebra; observability; polynomials; block Vandermonde matrix; block partial fraction expansion; block-observability form; denominator matrix polynomials; matrix fraction descriptions; matrix manipulation; matrix residues; Computer applications; Control system synthesis; Large-scale systems; MIMO; Matrix decomposition; Observability; Polynomials; Solvents; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
