Generalized Nyquist Criterion of Continuous-Time Periodic Systems and its Implementation (I) —Theoretic Results—

Jun Zhou; Tomomichi Hagiwara

doi:10.11499/sicep.2002.0.375.0

SICE Annual Conference 2002

DOI https://doi.org/10.11499/sicep.2002.0.375.0

Conference information

Host: The Society of Instrument and Control Engineers

Co-host: IEEE/Industiral Electronic Society, IEEE/Robotics and Automation Society, IEEE/Control System Society

Generalized Nyquist Criterion of Continuous-Time Periodic Systems and its Implementation (I)

—Theoretic Results—

Jun Zhou, Tomomichi Hagiwara

Author information

CONFERENCE PROCEEDINGS FREE ACCESS

Pages 375

Details

Abstract

This paper is divided into two parts. In the first part, we establish a generalized Nyquist stability criterion to finite-dimensional linear continuous-time periodic systems by means of the 2-regularized determinant about the harmonic transfer operator, which is a Hilbert-Schmidt operator. The generalized Nyquist stability criterion can apply to most practical periodically time-varying continuous-time systems with standard assumptions about the system matrices.

Corresponding author

Register with J-STAGE for free!