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A Generalized Framework of Linear Multivariable Control by Liansheng Tan

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4

Polynomial fraction description

Abstract

The polynomial matrix fraction description is a mathematically efficient and useful representation for a matrix of rational functions. With application to the transfer function of a multiinput, multioutput linear state equation, the polynomial fraction description can inherit the structural features that, for example, permit natural generalization of minimal realization having established for single-input, single-output state equations. The main aim of this chapter is to lay out a basic introduction to the polynomial fraction description, which is a key mathematical component in the current exposition of the generalized linear multivariable control theory. The main components covered by this chapter ...

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