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 …

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 …

Absolute stability of switched Lurie systems via dwell time switching

W Zhao, Y Sun - International Journal of Robust and Nonlinear …, 2022 - Wiley Online Library
This article deals with the absolute stability problem of switched Lurie systems. By
constructing two types of switched time‐varying Lyapunov–Lurie functions, sufficient …

An observer-based control scheme using negative-imaginary theory

P Bhowmick, S Patra - Automatica, 2017 - Elsevier
This paper presents a full-order state observer-based scheme that transforms a causal, LTI,
minimally realized system into a strongly strict negative-imaginary system by defining an …

Bilinear transformation for discrete-time positive real and negative imaginary systems

M Liu, J Xiong - IEEE Transactions on Automatic Control, 2018 - ieeexplore.ieee.org
This paper studies the connection between discrete-time and continuous-time negative
imaginary systems. First, we analyze differences between two statements that are claimed to …

Integral control of stable negative-imaginary systems preceded by hysteresis nonlinearity

A Dey, S Patra, S Sen - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
In this note, constant reference tracking using integral control for negative-imaginary (NI)
systems preceded by hysteresis nonlinearity is addressed. The hysteresis nonlinearity is …

Negative imaginary stability result allowing purely imaginary poles in both the interconnected systems

P Bhowmick, A Dey - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
This letter extends the class of systems to which negative imaginary (NI) stability result can
be (directly) applied. The existing closed-loop stability results for NI interconnections require …

Stability analysis and controller design for Lur'e system with hysteresis nonlinearities: a negative-imaginary theory based approach

A Dey, S Patra, S Sen - International Journal of Control, 2019 - Taylor & Francis
In this paper, absolute stability condition is investigated when a hysteresis nonlinearity is
connected to a linear subsystem via positive feedback in Lur'e system framework. In …

Control of negative imaginary systems with rate-limited actuation using a dissipative framework

P Behera, A Dey, S Patra - 2023 European Control Conference …, 2023 - ieeexplore.ieee.org
Rate limitation on the control input is ubiquitous in numerous mechanical actuators and
demands special care in control systems design. Since several mechanical systems are …

Integral-type sliding mode based fault-tolerant attitude stabilization of a quad-rotor UAV

W Gong, J Zhang, B Li, Y Yang - … International Symposium in …, 2018 - ieeexplore.ieee.org
This work addresses the fault tolerant attitude stabilization control problem of a quad-rotor
UAV utilizing the integral-type sliding mode control strategy, in the presence of external …