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Journals / Istanbul University Journal of Electrical and Electronics Engineering / 2006 / Cilt: 6 - Sayı: 1

Fast calculation of all stabilizing gains for discrete-time systems

Nevra BAYHAN
Mehmet Turan SÖYLEMEZ
Pages
19–26
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The second method demonstrates the use of Chebyshev Polynomials in the solution of the problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, two methods for calculating all stabilizing gains for discrete-time systems are given.
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Key Findings & Data:The first method focuses on converting the problem using a bilinear transformation and then applying a previously developed theorem for continuous time systems.
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Conclusion & Impact:The second method demonstrates the use of Chebyshev Polynomials in the solution of the problem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, two methods for calculating all stabilizing gains for discrete-time systems are given. The first method focuses on converting the problem using a bilinear transformation and then applying a previously developed theorem for continuous time systems. Unlike previous results, the method introduced here does not use the Generalised Hermite-Biehler Theorem and therefore provides a computational advantage. The second method demonstrates the use of Chebyshev Polynomials in the solution of the problem.

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Cite This Article

BAYHAN, N., SÖYLEMEZ, M. T. (2022). Fast calculation of all stabilizing gains for discrete-time systems. Istanbul University Journal of Electrical and Electronics Engineering, Cilt: 6 - Sayı: 1, 19–26. https://ajindex.com/articles/543801

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References (10)

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