Static output feedback negative imaginary controller synthesis with an H∞ norm bound

D Ren, J Xiong, DWC Ho - Automatica, 2021 - Elsevier
A large number of practical systems can be modeled as negative imaginary (NI) systems. In
this paper, we investigate the problem of static output feedback (SOF) NI controller design …

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 …

[HTML][HTML] On the dissipativity property of negative imaginary systems

MA Mabrok, MA Alyami, EE Mahmoud - Alexandria Engineering Journal, 2021 - Elsevier
This paper extends the concept of dissipativity to a new class of dynamical systems known
as negative imaginary systems. The paper also introduce a new definition for nonlinear …

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 …

Robust adaptive learning control for different classes of dissipative vehicle systems

MA Mabrok, VP Tran, IR Petersen… - 2022 IEEE Vehicle …, 2022 - ieeexplore.ieee.org
This paper presents a methodology that leverages learning techniques and robust control
theory to design an adaptive controller for a wide class of linear dynamical dissipative …

Strictly negative imaginary state feedback control with a prescribed degree of stability

J Dannatt, IR Petersen, A Lanzon - Automatica, 2020 - Elsevier
This paper presents conditions for the synthesis of a strictly negative imaginary closed-loop
system with a prescribed degree of stability under the assumption of full state feedback. A …

Koopman Operator Approximation under Negative Imaginary Constraints

MA Mabrok, I Aksikas, N Meskin - IEEE Control Systems Letters, 2023 - ieeexplore.ieee.org
Nonlinear Negative Imaginary (NI) systems arise in various engineering applications, such
as controlling flexible structures and air vehicles. However, unlike linear NI systems, their …

Finding the nearest negative imaginary system with application to near-optimal controller design

MA Mabrok - 2023 European Control Conference (ECC), 2023 - ieeexplore.ieee.org
In 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 …

Convex synthesis of strictly negative imaginary feedback controllers

RJ Caverly, M Chakraborty - 2019 IEEE 58th Conference on …, 2019 - ieeexplore.ieee.org
This paper presents linear matrix inequality approaches to optimally synthesize strictly
negative imaginary (SNI) dynamic output feedback controllers. In particular, convex …