Some mixed methods for the simplification of high-order single-input single-output systems

Abstract

In this paper some new mixed methods for the simplification of single-input single-output systems are proposed. Stability preserving methods, such as, (γ - δ) canonical expansion. Gutmans differentiation method and stability-equation method are used to obtain the denominators of reduced-models whereas numerator is determined by Lucas factor division method. The proposed methods produce reduced models fairly comparable to some of the existing reduced models and some are even better. The accuracies of the proposed methods are explained in terms of error bounds with the help of an illustrative example.