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International Journal of Control Volume 86, 2013 - Issue 7: Periodic Systems and Robust Control
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Original Articles

Enforcing negative imaginary dynamics on mathematical system models

M.A. MabrokSchool of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT2600, AustraliaCorrespondence[email protected]
,
A. LanzonControl Systems Centre, School of Electrical and Electronic Engineering, University of Manchester, ManchesterM13 9PL, United Kingdom
,
A.G. KallapurSchool of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT2600, Australia
&
I.R. PetersenSchool of Engineering and Information Technology, University of New South Wales at the Australian Defence Force Academy, Canberra, ACT2600, Australia
Pages 1292-1303 | Received 12 Oct 2012, Accepted 25 Apr 2013, Published online: 14 Jun 2013

Citations (15)

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Read on this site (2)

M. A. Mabrok. (2021) Controller synthesis for negative imaginary systems using nonlinear optimisation and H2 performance measure. International Journal of Control 94:3, pages 579-587.
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Mei Liu & Junlin Xiong. (2015) On α- and -negative imaginary systems. International Journal of Control 88:10, pages 1933-1941.
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Articles from other publishers (13)

Mohamed Mabrok & Mahmoud Abdelrahim. (2023) Robust stabilization of LTI negative imaginary systems using the nearest negative imaginary controller. IET Control Theory & Applications.
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Santosh Kumar Choudhary & Shreesha Chokkadi. (2023) Negative imaginary feedback control of satellite orbit dynamical model. International Journal of Dynamics and Control.
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Mohamed A. Mabrok. (2023) Finding the Nearest Negative Imaginary System with Application to Near-Optimal Controller Design. Finding the Nearest Negative Imaginary System with Application to Near-Optimal Controller Design.
James Dannatt & Ian Petersen. (2023) On the achievable degree of stability in strictly negative imaginary state feedback control. On the achievable degree of stability in strictly negative imaginary state feedback control.
Santosh Kumar Choudhary, Shreesha Chokkadi & G. Sudhakara. (2022) Modelling and control of nonlinear negative imaginary systems. International Journal of Dynamics and Control 11:1, pages 271-285.
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Santosh Kumar Choudhary, Shreesha Chokkadi & G. Sudhakara. (2022) Robust Feedback Stability of Networked Multi-agent Negative Imaginary Systems on Undirected Graph. IFAC-PapersOnLine 55:1, pages 528-534.
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Mohamed A. Mabrok & Ian R. Petersen. (2018) Negative Imaginary <tex>$H_{2}$</tex> Controller Synthesis Using Nonlinear Optimization. Negative Imaginary <tex>$H_{2}$</tex> Controller Synthesis Using Nonlinear Optimization.
Santosh Kumar Choudhary. (2015) LMI based robust state feedback control of negative-imaginary systems. International Journal of Dynamics and Control 5:2, pages 347-356.
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A. Buscarino, L. Fortuna & M. Frasca. (2016) Forward action to make a system negative imaginary. Systems & Control Letters 94, pages 57-62.
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Ian R. Petersen. (2016) Negative imaginary systems theory and applications. Annual Reviews in Control 42, pages 309-318.
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Junlin Xiong, Alexander Lanzon & Ian R. Petersen. (2015) Descriptor systems state-space conditions to guarantee negative imaginary properties without minimality restrictions. Descriptor systems state-space conditions to guarantee negative imaginary properties without minimality restrictions.
M. A. Mabrok, M. A. Haggag, I. R. Petersen & A. Lanzon. (2014) A subspace system identification algorithm guaranteeing the negative imaginary property. A subspace system identification algorithm guaranteeing the negative imaginary property.
Mohamed A. Mabrok, Abhijit G. Kallapur, Ian R. Petersen & Alexander Lanzon. (2014) Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures With Free Body Motion. IEEE Transactions on Automatic Control 59:10, pages 2692-2707.
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