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المؤلفMabrok, M.A.
المؤلفMabrok, Mohamed A.
تاريخ الإتاحة2024-02-28T06:49:47Z
تاريخ النشر2023-01-01
اسم المنشور2023 European Control Conference, ECC 2023
المعرّفhttp://dx.doi.org/10.23919/ECC57647.2023.10178307
الاقتباسMabrok, M. A. (2023, June). Finding the nearest negative imaginary system with application to near-optimal controller design. In 2023 European Control Conference (ECC) (pp. 1-6). IEEE.‏
الترقيم الدولي الموحد للكتاب 9783907144084
معرّف المصادر الموحدhttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85166467754&origin=inward
معرّف المصادر الموحدhttp://hdl.handle.net/10576/52334
الملخصIn this paper, we consider the problem of robust stabilization of linear time-invariant systems with respect to unmodeled dynamics and structure uncertainties. To that end, we first present a methodology to find the nearest negative imaginary system for a given non-negative imaginary system. Then, we employ this result to construct a near optimal linear quadratic Gaussian controller achieving desired performance measures. The problem is formulated using port-Hamiltonian method and the required conditions are defined in terms of linear matrix inequalities. The technique is presented using fast gradient method to solve the problem systematically. The designed controller satisfies a negative imaginary property and guarantees a robust feedback loop. The effectiveness of the approach is demonstrated by simulation on a numerical example.
اللغةen
الناشرInstitute of Electrical and Electronics Engineers Inc.
الموضوعfast gradient method
Negative imaginary systems
port-Hamiltonian system
العنوانFinding the Nearest Negative Imaginary System with Application to Near-Optimal Controller Design
النوعConference Paper
الصفحات1-6
dc.accessType Open Access


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