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

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

研究成果: Conference article同行評審

2 引文 斯高帕斯(Scopus)

摘要

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.

原文English
頁(從 - 到)908-914
頁數7
期刊Proceedings of the IEEE Conference on Decision and Control
1
出版狀態Published - 1997 十二月 1
事件Proceedings of the 1997 36th IEEE Conference on Decision and Control. Part 1 (of 5) - San Diego, CA, USA
持續時間: 1997 十二月 101997 十二月 12

All Science Journal Classification (ASJC) codes

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

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