Title :
Some further observations on the differentiation method of modal reduction
Author_Institution :
Dept. of Math. & Comput. Sci., Dundee Inst. of Technol., UK
fDate :
9/1/1992 12:00:00 AM
Abstract :
The differentiation method of model reduction is shown to be equivalent to forming successive ratios of multipoint Taylor polynomial approximation of the numerator and denominator of the transfer function, respectively. This reformulation allows the method to be applied entirely through a Routh-type array structure. Strong links are seen to exist between the method and other stability preserving methods via this Routh-type structure
Keywords :
approximation theory; differentiation; polynomials; transfer functions; Routh-type array structure; differentiation method; modal reduction; multipoint Taylor polynomial approximation; stability preserving methods; transfer function; Approximation algorithms; Approximation methods; Control system synthesis; Equations; Large-scale systems; Linear systems; Polynomials; Reduced order systems; Stability; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
