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

Author

Davison, E.J. ; Wang, S.H.

Author_Institution

University of Toronto, Toronto, Ontario, Canada

Volume

Issue

fYear

1978

fDate

8/1/1978 12:00:00 AM

Firstpage

738

Lastpage

741

Abstract

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.

Keywords

Linear systems, time-invariant continuous-time; Output feedback; Poles and zeros; Asymptotic stability; Automatic control; Calibration; Control systems; Eigenvalues and eigenfunctions; Filtering theory; Output feedback; State estimation; Steady-state; Uncertainty;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.1978.1101808

Filename

1101808

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=827005