Transformability from discrete-time periodic non-homogeneous systems to time-invariant ones

Author

Hayakawa, Yoshikazu ; Jimbo, Tomohiko

Author_Institution

Dept. of Mech. Sci. & Eng., Nagoya Univ., Nagoya, Japan

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

1746

Lastpage

1751

Abstract

This paper considers when a discrete-time periodic non-homogeneous system can be transformed to a time-invariant one by using regular linear mappings of state variables, inputs and outputs, respectively. The problem on a homogeneous system has been already solved as discrete-time Floquet transformation, and also the similarity classes of Floquet transformations have been characterized. Those previous results are used to derive some conditions on transformability of non-homogeneous systems.

Keywords

discrete time systems; matrix algebra; time-varying systems; discrete-time Floquet transformation; discrete-time periodic nonhomogeneous system; nonsingular matrix; regular linear mapping; similarity class; state variable; system transformability; time-invariant system; Automotive engineering; Control design; Eigenvalues and eigenfunctions; Engines; Ignition; Linear systems; Nonlinear systems; Sparks; State-space methods; Synthetic aperture sonar;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399952

Filename

5399952