H∞-norm evaluation for a transfer matrix via bisection algorithm-Reference-Cited by-同舟云学术

H∞-norm evaluation for a transfer matrix via bisection algorithm

Published:2022 Issue:Spec. issue 2 Volume:26 Page:745-751
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Gunduz Hasan¹,Celik Ercan²

Affiliation:

1. Department of Mathematics, Faculty of Science and Literature, Bingol University, Bingol, Turkey

2. Department of Applied Mathematics and Informatics, Faculty of Science, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan

Abstract

In this paper, we compute H?-norm of a transfer matrix, via bisection algorithm. The algorithm is given and applied some problems. The problems are choosen from various areas of control theory such as aircraft models and decentralized interconnected systems.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

Reference13 articles.

1. Zames, G., Feedback and Optimal Sensitivity: Model Reference Transformations, Multiplicative Semi-norms, and Approximate Inverses, IEEE Transactions on Automatic Control, 26 (1981), 2, pp. 301-320

2. Zhou, K., Doyle, J. C., Essentials of Robust Control, Prentice Hall, Upper Saddle River, NJ, USA, 1998

3. Petersen, I., Disturbance Attenuation and H∞ optimization: A Design Method Based on the Algebraic Riccati Equation, IEEE Transactions on Automatic Control, 32 (1987), 5, pp. 427-429

4. Khargonekar, P. P., et al., H∞-optimal Control with State-Feedback, Transactions on Automatic Control, IEEE, 33(1988), 8, pp. 786-788

5. Doyle, J., et al., State-Space Solutions to Standard H2 and H∞ Control Problems, Proceedings, IEEE American Control Conference, Atlanta, Geo., USA, pp. 1691-1696, 1988

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Design and Development of an Optimal Control Model in System Dynamics through State-Space Representation;Applied Sciences;2023-06-15