Transmission zero assignment using semistate descriptions

Author

Syrmos, V.L. ; Lewis, F.L.

Author_Institution

Dept. of Electr. Eng., Hawaii Univ., Honolulu, HI, USA

Volume

38

Issue

7

fYear

1993

fDate

7/1/1993 12:00:00 AM

Firstpage

1115

Lastpage

1120

Abstract

The problem of finite/infinite transmission zero assignment is examined by squaring a system from the outputs to the inputs. In particular, this problem is studied in two cases: state-accessible systems and partially-state accessible systems. It is shown that the problem of transmission zero assignment for state-accessible state-variable systems is equivalent to a pole-placement problem with state feedback for a generalized system, which always has a solution. In the case of partially-state-accessible systems, it is shown that the transmission zero assignment problem is equivalent to a pole-placement problem with output feedback for a generalized system. In both cases the block Hessenberg form of the system and the extended lower triangular Hessenberg form are exploited to formulate the problem

Keywords

feedback; poles and zeros; block Hessenberg form; extended lower triangular Hessenberg form; finite/infinite transmission zero assignment; generalized system; partially-state accessible systems; pole-placement; semistate descriptions; state feedback; state-variable systems; Automatic control; Control system synthesis; Control systems; Covariance matrix; Eigenvalues and eigenfunctions; Equations; Filtering theory; Poles and zeros; State feedback; Symmetric matrices;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.231467

Filename

231467