Volume 16, Issue 2 (Journal of Control, V.16, N.2 Summer 2022)                   JoC 2022, 16(2): 1-10 | Back to browse issues page

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Delavar A, Haeri M. Determination of Gain and Phase Margins in Lur’e Nonlinear Systems using Extended Circle Criterion. JoC 2022; 16 (2) :1-10
URL: http://joc.kntu.ac.ir/article-1-843-en.html
1- Sharif u. of T.
Abstract:   (6221 Views)
Nonlinearity is one of the main behaviors of systems in the real world. Therefore, it seems necessary to introduce a method to determine the stability margin of these systems. Although the gain and phase margins are established criteria for the analysis of linear systems, finding a specific way to determine the true value of these margins in nonlinear systems in general is an ongoing research in the literature. The main goal of this paper is to introduce a new method to determine these margins more precisely for particular type of nonlinearities. Based on Lyapunov theorem, stability conditions are obtained and the stability margins of Lur'e systems are determined by applying the extended circle criterion. By providing numerical examples, the correctness of the obtained results is checked and by comparing them with other methods, the accuracy of the obtained results is evaluated.
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Type of Article: Research paper | Subject: Special
Received: 2021/02/23 | Accepted: 2021/12/23 | ePublished ahead of print: 2022/01/19

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