[HTML][HTML] Robust formation control for networked robotic systems using negative imaginary dynamics

J Hu, B Lennox, F Arvin - Automatica, 2022 - Elsevier
This paper proposes a consensus-based formation tracking scheme for multi-robot systems
utilizing 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 …

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 negative imaginariness and H∞ control of descriptor systems with state–space symmetry

M Liu, K Feng - Automatica, 2024 - Elsevier
This paper studies negative imaginariness and the static output feedback H∞ control
synthesis of descriptor systems based on the state–space symmetric model. First, under the …

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 …

Converse negative imaginary theorems

SZ Khong, D Zhao, A Lanzon - Automatica, 2024 - Elsevier
Converse negative imaginary theorems for linear time-invariant systems are derived. In
particular, we provide necessary and sufficient conditions for a feedback system to be …

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 frequency-domain approach to nonlinear negative imaginary systems analysis

D Zhao, C Chen, SZ Khong - Automatica, 2022 - Elsevier
In this study, we extend the theory of negative imaginary (NI) systems to a nonlinear
framework using a frequency-domain approach. The extended notion is completely …

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 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 …