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An algorithm for the calculation of transmission zeros of the system (C, A, B, D) using high gain output feedback

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2 Author(s)
Davison, E.J. ; University of Toronto, Toronto, Ontario, Canada ; Wang, S.

A new algorithm, which is an extension of [1, algorithm II], is presented to determine the transmission zeros of the system \dot{x}=Ax+Bu, y=Cx+Du denoted by (C,A,B,D) . The algorithm is based on the observation that for nondegenerate (C,A,B,D) systems, the set of transmission zeros of (C,A,B,D) are contained in the finite eigenvalues of the closed-loop system matrix {A + BK((I_{r}/p)-DK)^{-1}C} where K is any arbitrary matrix of full rank, y \in R^{r} , and \rho\rightarrow\infty . Some numerical examples of systems of 100th order are included to illustrate the algorithm.

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Automatic Control, IEEE Transactions on  (Volume:23 ,  Issue: 4 )