Dynamic dissipative characterisation of time-domain input–output negative imaginary systems

P Bhowmick, A Lanzon - Automatica, 2024 - Elsevier
This paper introduces the class of Time-Domain Input–Output Negative Imaginary (TD-IONI)
systems. The new TD-IONI definition unifies the class of the existing Negative Imaginary (NI) …

Properties of interconnected negative imaginary systems and extension to formation‐containment control of networked multi‐UAV systems with experimental …

YH Su, P Bhowmick, A Lanzon - Asian Journal of Control, 2023 - Wiley Online Library
This paper extends the properties of a positive feedback interconnection of two negative
imaginary (NI) systems to multi‐agent NI systems and proposes a new formation …

A dynamic controller synthesis methodology for negative imaginary systems using the internal model control principle

P Bhowmick, S Kurawa, S Kannan, A Lanzon - Automatica, 2024 - Elsevier
This paper proposes a new controller design methodology for stable and minimum-phase
Negative Imaginary (NI) systems relying on the classical Internal Model Control (IMC) …

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 article, 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 …

A new consensus-based formation tracking scheme for a class of robotic systems using negative imaginary property

P Bhowmick, A Ganguly, S Sen - IFAC-PapersOnLine, 2022 - Elsevier
This brief proposes a consensus-based formation tracking scheme for multi-robot systems
utilising the Negative Imaginary (NI) theory. The proposed scheme applies to a class of …

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 …

Cooperative control of multi-tilt tricopter drones applying a 'mixed'negative imaginary and strict passivity technique

D Abara, P Bhowmick, A Lanzon - 2023 European Control …, 2023 - ieeexplore.ieee.org
This paper develops a cooperative controller for a fleet of multi-tilt tricopter drones modelled
as Negative Imaginary (NI) systems via closed-loop linearisation exploiting Sliding-Mode …

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 …

Negative Imaginary Reset Control Systems

MB Kaczmarek, SH HosseinNia - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
In this note, we present an extension of the nonlinear negative imaginary (NI) systems theory
to reset systems. We define the reset negative imaginary (RNI) and reset strictly negative …

On discrete-time output negative imaginary systems

P Bhowmick, A Lanzon - IEEE Control Systems Letters, 2021 - ieeexplore.ieee.org
This letter introduces the notion of linear Discrete-time Output Negative Imaginary (D-ONI)
systems. The D-ONI class is defined in the z-domain and it includes the systems having …