Feedback stability of discrete-time, linear time-varying systems

Author

Orlowski, P.

Author_Institution

Electr. Eng. Dept., Szczecin Univ. of Technol., Szczecin

fYear

2008

fDate

25-27 June 2008

Firstpage

1002

Lastpage

1007

Abstract

The paper proposes a method for feedback stability evaluation for discrete-time, linear time-varying control systems. It is assumed that the time-varying system can be described by linear matrices operators, equivalent to general discrete-time, time-varying state space model with nonzero input-output delay. The main used tools are Bode diagrams approximated for time-varying systems, using power spectral density properties, discrete Fourier transform and singular value decomposition of the system operator.

Keywords

Bode diagrams; delays; discrete time systems; feedback; linear systems; matrix algebra; singular value decomposition; stability; time-varying systems; Bode diagrams; discrete Fourier transform; discrete-time systems; feedback stability; linear matrices operators; linear time-varying control systems; nonzero input-output delay; power spectral density properties; singular value decomposition; Control systems; Delay; Discrete Fourier transforms; Linear feedback control systems; Matrix decomposition; Power system modeling; Singular value decomposition; Stability; State-space methods; Time varying systems; discrete-time systems; finite time horizon; frequency analysis; non-stationary systems; stability; time-varying systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Automation, 2008 16th Mediterranean Conference on

Conference_Location

Ajaccio

Print_ISBN

978-1-4244-2504-4

Electronic_ISBN

978-1-4244-2505-1

Type

conf

DOI

10.1109/MED.2008.4602066

Filename

4602066