Negative imaginary systems theory and applications

IR Petersen - Annual Reviews in Control, 2016 - Elsevier
This paper presents a survey of some of the main results in the theory of negative imaginary
systems. The paper also presents some applications of negative imaginary systems theory …

H negative imaginary static output feedback controller for low frequency networked control systems

H Yang, S Wang, P Li - International Journal of Control, 2024 - Taylor & Francis
In this paper, an H∞ negative imaginary static output feedback (SOF) controller is designed
for a low frequency (LF) networked control system (NCS) with time-delays. A difference …

Robust stabilization of LTI negative imaginary systems using the nearest negative imaginary controller

M Mabrok, M Abdelrahim - IET Control Theory & Applications, 2024 - Wiley Online Library
This paper considers the problem of robust stabilization of linear time‐invariant systems with
respect to unmodelled dynamics and structure uncertainties. To that end, a methodology to …

A negative imaginary lemma and state-feedback negative imaginary synthesis for commensurate fractional-order systems

M Liu - Journal of the Franklin Institute, 2024 - Elsevier
This article focuses on negative imaginariness of commensurate fractional-order linear time-
invariant systems. Enlightened by the generalized Kalman–Yakubovic–Popov lemma …

[HTML][HTML] Robust output consensus of homogeneous multi-agent systems with negative imaginary dynamics

O Skeik, A Lanzon - Automatica, 2020 - Elsevier
This paper addresses the robust output consensus problem for multiple homogeneous
negative imaginary (NI) systems subject to L 2 external disturbances and model …

Convex synthesis of SNI controllers based on frequency-domain data: MEMS nanopositioner example

N Nikooienejad, SOR Moheimani - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
We report a procedure to design fixed-structure strictly negative imaginary (SNI) controllers
for collocated, highly resonant systems based on frequency response data. We formulate the …

Modelling and control of nonlinear negative imaginary systems

SK Choudhary, S Chokkadi, G Sudhakara - International Journal of …, 2023 - Springer
This article investigates mathematical modelling and control of a nonlinear negative
imaginary system using an illustrative benchmark physical example of a quadrotor dynamic …

Negative imaginariness and positive realness analysis of state-space symmetric systems with interval uncertainty

M Liu, H Lin, Y Wang, G Chen - Proceedings of the …, 2022 - journals.sagepub.com
In this article, the state-space symmetric systems with symmetrical interval uncertainty that
have positive real and negative imaginary properties are studied. First, a necessary and …

Frequency domain-based integral resonant control design for a MEMS nanopositioner

N Nikooienejad, SOR Moheimani - 2021 IEEE Conference on …, 2021 - ieeexplore.ieee.org
In this paper, a multivariable integral resonant controller is designed based on the measured
frequency response of a 2-DOF MEMS nanopositioner with collocated sensors and …

Necessary and sufficient conditions for lossless negative imaginary systems

M Liu, X Jing, G Chen - Journal of the Franklin Institute, 2020 - Elsevier
This paper studies some useful properties of lossless negative imaginary transfer matrices
for both continuous-time and discrete-time systems. Necessary and sufficient conditions are …