Feedback stabilization of discrete-time systems via the generalized Hermite-Biehler theorem Conference Paper

abstract

• This paper considers the problem of characterizing all the constant gains that stabilize a given linear time-invariant discrete-time plant. First, two generalized versions of the discrete-time Hermite-Biehler Theorem are derived and shown to be useful in providing a solution to this problem. A complete analytical characterization of all stabilizing feedback gains is provided as a closed form solution under the condition that the plant has no zeros on the unit circle. Unlike classical techniques such as the Jury criterion, Nyquist criterion, or Root Locus, the result presented here provides an analytical solution to the constant gain stabilization problem, which has computational advantages.

name of conference

• Proceedings of the 36th IEEE Conference on Decision and Control

authors

• Bhattacharyya, S
• Datta, Aniruddha

published proceedings

• PROCEEDINGS OF THE 36TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5

author list (cited authors)

• Ho, M. T., Datta, A., & Bhattacharyya, S. P.

citation count

• 2

complete list of authors

• Ho, MT||Datta, A||Bhattacharyya, SP

publication date

• January 1997

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE Conference on Decision and Control  Journal

Digital Object Identifier (DOI)

• 10.1109/cdc.1997.650758

International Standard Book Number (ISBN) 10

• 0-7803-4187-2

start page

• 908

end page

• 914

volume

• 1

URL

• http://dx.doi.org/10.1109/cdc.1997.650758