Nyquist Meets Bode on the $z$-plane Conference Paper

abstract

• In this paper, we first present a new characterization of the Nyquist criterion in terms of Bode plots of the plant and the controller for discrete-time systems. This gives a nonparametric, and model independent characterization of arbitrary order stabilizing controllers. The result shows that the frequency response of any stabilizing controller must satisfy constraints on its magnitude, phase, and rate of change of phase at certain frequencies that are imposed by the frequency response of the inverse plant. We then show, by examples, that detailed and new results on controller design can be obtained for discrete time systems using these frequency domain criteria. 2010 IEEE.

name of conference

• 2010 International Symposium on Electronic System Design

authors

• Bhattacharyya, S

published proceedings

• 2010 International Symposium on Electronic System Design

author list (cited authors)

• Keel, L. H., & Bhattacharyya, S. P.

citation count

• 0

complete list of authors

• Keel, LH||Bhattacharyya, SP

publication date

• December 2010

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

Digital Object Identifier (DOI)

• 10.1109/ised.2010.56

International Standard Book Number (ISBN) 13

• 9780769542942

start page

• 259

end page

• 264

URL

• http://dx.doi.org/10.1109/ised.2010.56