Solution to negative-imaginary control problem for uncertain LTI systems with multi-objective performance

P Bhowmick, S Patra - Automatica, 2020 - Elsevier
This paper addresses the problem of dynamic output feedback controller synthesis in LMI
framework for LTI generalized plants with negative-imaginary uncertainties. The proposed …

Applying negative imaginary systems theory to non-square systems with polytopic uncertainty

P Bhowmick, A Lanzon - Automatica, 2021 - Elsevier
This paper aims to apply Negative Imaginary (NI) systems theory to non-square LTI systems,
for example, flexible structure systems with redundant sensors and actuators. The paper …

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 …

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 …

Positive real and strictly positive real MIMO systems: theory and application

M Hakimi-Moghaddam - International Journal of Dynamics and Control, 2020 - Springer
The paper is dealing with the concept of positive real and strictly positive real properties of
linear time-invariant systems. Although strict positive realness is the most important subset of …

Controller synthesis to render a closed loop transfer function strongly strictly negative imaginary

G Salcan-Reyes, A Lanzon… - 2018 IEEE Conference …, 2018 - ieeexplore.ieee.org
In this paper, we show that there exists an alternative transformation from the class of
negative imaginary to the class of positive real systems. We use this to offer a solution to the …

Static output feedback negative imaginary controller design with H2 performance

D Ren, J Xiong, DWC Ho - International Journal of Control, 2023 - Taylor & Francis
In this paper, the problem of designing static output feedback (SOF) H 2 negative imaginary
controller has been studied. Because the constraints brought by negative imaginary (NI) …

On the critical value for the modified algebraic Riccati inequality

L Zhang, J Wang, MZQ Chen - 2021 IEEE International …, 2021 - ieeexplore.ieee.org
This paper deals with a modified algebraic Riccati inequality containing a multiplied
parameter. Packet loss, quantization, network coupling, and other factors all contribute to …

On the achievable degree of stability in strictly negative imaginary state feedback control

J Dannatt, I Petersen - 2023 American Control Conference …, 2023 - ieeexplore.ieee.org
In this paper we study the problem of determining the largest degree of stability that can be
achieved for SISO systems using negative imaginary state feedback control. A state …

Output feedback controller synthesis for negative imaginary systems

J Dannatt, I Petersen - 2019 12th Asian Control Conference …, 2019 - ieeexplore.ieee.org
This paper presents necessary and sufficient conditions for deriving a strictly proper dynamic
controller which satisfies the negative imaginary output feedback control problem. Our …