Closed loop realization algorithms via a joint-input-output approach

Author

Tanaka, Hideyuki ; Katayama, Tohru

Author_Institution

Dept. of Appl. Math. & Phys., Kyoto Univ., Kyoto, Japan

fYear

2007

fDate

2-5 July 2007

Firstpage

4633

Lastpage

4638

Abstract

This paper studies a closed loop realization problem, revisiting an identifiability condition of linear systems under feedback. It is shown that two joint-input-output algorithms can be derived from the analysis of the closed loop matrix and its inverse based on spectral factorization and stochastic realization theories. The algorithm based on the inverse of the closed loop matrix is given by means of left coprime factor representations of the plant and controller.

Keywords

closed loop systems; control system analysis; feedback; linear systems; matrix decomposition; matrix inversion; stochastic processes; closed loop matrix inverse; closed loop realization algorithms; feedback; identifiability condition; joint-input-output algorithms; left coprime factor representations; linear systems; spectral factorization; stochastic realization theories; Closed loop systems; Covariance matrices; Joints; Quantum cascade lasers; Radio frequency; Technological innovation; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2007 European

Conference_Location

Kos

Print_ISBN

978-3-9524173-8-6

Type

conf

Filename

7068322

Link To Document

https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2154946