Robust Adaptive Fuzzy Control for Second-Order Euler–Lagrange Systems With Uncertainties and Disturbances via Nonlinear Negative-Imaginary Systems Theory

VP Tran, MA Mabrok, SG Anavatti… - IEEE Transactions …, 2024 - ieeexplore.ieee.org
Ensuring robust and precise tracking control in the presence of uncertain multi-input–multi-
output (MIMO) system dynamics and environmental variations is a significant challenge in …

On LTI output strictly negative-imaginary systems

P Bhowmick, S Patra - Systems & Control Letters, 2017 - Elsevier
This paper deals with the notion of output strictly negative-imaginary systems. A definition is
given for the class of output strictly negative-imaginary systems and a lemma is proposed to …

A two‐loop group formation tracking control scheme for networked tri‐rotor UAVs using an ARE‐based approach

P Bhowmick, S Bhadra, A Panda - Asian Journal of Control, 2022 - Wiley Online Library
Cooperative control of networked unmanned aerial vehicles (UAVs) has received significant
research interest over the last decade due to its potential applications in military security and …

Necessary and sufficient conditions for state feedback equivalence to negative imaginary systems

K Shi, IR Petersen, IG Vladimirov - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this paper, we present necessary and sufficient conditions under which a linear time-
invariant (LTI) system is state feedback equivalent to a negative imaginary (NI) system. More …

On decentralized integral controllability of stable negative-imaginary systems and some related extensions

P Bhowmick, S Patra - Automatica, 2018 - Elsevier
This paper exploits the decentralized integral controllability (DIC) of stable negative-
imaginary (NI) systems with non-singular DC-gain matrix to develop a constant input …

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 …

Frequency-domain dissipativity analysis for output negative imaginary systems allowing imaginary-axis poles

P Bhowmick, N Bordoloi… - 2023 European Control …, 2023 - ieeexplore.ieee.org
This brief addresses the frequency-domain dissipativity problem of a broader class of Output
Negative Imaginary systems, termed as the time-domain ONI (or TDONI) systems, which …

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 …

On negative imaginary synthesis via solutions to Riccati equations

G Salcan-Reyes, A Lanzon - 2018 European Control …, 2018 - ieeexplore.ieee.org
This paper tackles the problem of finding conditions for the existence of an output feedback
controller such that the closed-loop system becomes strictly negative imaginary (SNI) and …