New approach to feedback stabilization

Ming-Tzu Ho, Aniruddha Datta, S. P. Bhattacharyya

Research output: Chapter in Book/Report/Conference proceedingChapter

43 Citations (Scopus)


This paper considers the problem of stabilizing a given linear time-invariant plant using a fixed order compensator. As a first step, attention is focussed on the constant gain stabilization problem. An appropriately generalized version of the Hermite-Biehler Theorem is given 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. This is in stark contrast to the highly nonlinear inequalities that one may have to deal with in trying to solve this problem using the Routh-Hurwitz criterion or the graphical procedures which must be followed while using the Nyquist criterion or the Root Locus technique. The development of similar approaches for stabilization using PID or first order controllers is a topic of current research.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
Editors Anon
Number of pages6
Publication statusPublished - 1996 Dec 1
EventProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4) - Kobe, Jpn
Duration: 1996 Dec 111996 Dec 13

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0191-2216


OtherProceedings of the 35th IEEE Conference on Decision and Control. Part 4 (of 4)
CityKobe, Jpn

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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