Frequency response of linear time periodic systems

Author

Wereley, Norman M. ; Hall, Steven R.

Author_Institution

Dept. of Aeronaut. & Astronaut., MIT, Cambridge, MA, USA

fYear

1990

fDate

5-7 Dec 1990

Firstpage

3650

Abstract

A frequency response for linear time periodic (LTP) systems that exploits the one-to-one map induced by geometrically periodic signals is developed. This map is described by an integral operator, based on the GP (geometrically periodic) test input, and a generalized harmonic balance approach, based on an EMP (exponentially modulated periodic) input. The singular values or principal gains of the LTP operator are discussed, and the LTP principal gain diagram is described. Directional properties of the LTP operator are discussed, and notions of the domain and range spaces are presented. The framework of linear operators described has lead to the development of a comprehensive open-loop analysis theory for LTP systems, including a characterization of poles, transmission zeros, and their directional properties

Keywords

control system analysis; discrete time systems; frequency response; linear systems; poles and zeros; time-varying systems; exponentially modulated periodic input; frequency response; generalized harmonic balance; geometrically periodic signals; integral operator; linear time periodic systems; poles; transmission zeros; Control theory; Differential equations; Frequency response; Signal processing; Space technology; State-space methods; System testing; Time factors; Time varying systems; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1990., Proceedings of the 29th IEEE Conference on

Conference_Location

Honolulu, HI

Type

conf

DOI

10.1109/CDC.1990.203516

Filename

203516