Canonical forms on discrete linear periodically time-varying systems and a control application

Author

Park, B. ; Verriest, E.I.

Author_Institution

Sch. of Electr. Eng., Georgia Inst. of Technol., Atlanta, GA, USA

fYear

1989

fDate

13-15 Dec 1989

Firstpage

1220

Abstract

Canonical forms for discrete linear N-periodically time-varying (LP) completely reachable systems x(k)= A_kx(k)+B_ku (k) and y(k)=C_kx (k)+D_ku(k) that generalize the linear time-invariant (LTI) case are presented. The derivation is first accomplished through an LTI-quadruple equivalent to a 4N-tuple (A_k, B_k, C_k, D_k), for k=0, 1, . . ., N-1. This LTI system is revealed to be a subcomponent in a decomposition of a given discrete LP system represented by the 4N -tuple. An application of the canonical forms is demonstrated for a control problem, the eigenvalue assignment of the monodromy matrix

Keywords

controllability; discrete systems; time-varying systems; LTI-quadruple; canonical forms; completely reachable systems; decomposition; discrete linear periodically time-varying systems; discrete systems; eigenvalue assignment; linear N-periodically time-varying systems; linear systems; monodromy matrix; Biological system modeling; Control systems; Eigenvalues and eigenfunctions; Feedback; MIMO; Matrix decomposition; Robust control; Stability analysis; Time varying systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1989., Proceedings of the 28th IEEE Conference on

Conference_Location

Tampa, FL

Type

conf

DOI

10.1109/CDC.1989.70329

Filename

70329