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 …
systems. The paper also presents some applications of negative imaginary systems theory …
Generalizing negative imaginary systems theory to include free body dynamics: Control of highly resonant structures with free body motion
Negative imaginary (NI) systems play an important role in the robust control of highly
resonant flexible structures. In this paper, a generalized NI system framework is presented. A …
resonant flexible structures. In this paper, a generalized NI system framework is presented. A …
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) …
systems. The new TD-IONI definition unifies the class of the existing Negative Imaginary (NI) …
Characterization of Input–Output Negative Imaginary Systems in a Dissipative Framework
A Lanzon, P Bhowmick - IEEE Transactions on Automatic …, 2022 - ieeexplore.ieee.org
In this article, we define the notion of stable input–output negative imaginary (IONI) systems.
This new class captures and unifies all the existing stable subclasses of negative imaginary …
This new class captures and unifies all the existing stable subclasses of negative imaginary …
Switching time-invariant formation control of a collaborative multi-agent system using negative imaginary systems theory
The movement of cooperative robots in a densely cluttered environment may be impossible
if the formation type is invariant. Hence, we investigate a novel method of switching time …
if the formation type is invariant. Hence, we investigate a novel method of switching time …
Feedback stability of negative imaginary systems
A Lanzon, HJ Chen - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
This paper extends the robust feedback stability theorem of negative imaginary systems by
removing restrictive assumptions on the instantaneous gains of the systems that were …
removing restrictive assumptions on the instantaneous gains of the systems that were …
Foundations of not necessarily rational negative imaginary systems theory: Relations between classes of negative imaginary and positive real systems
A Ferrante, A Lanzon… - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
In this technical note we lay the foundations of a not necessarily rational negative imaginary
systems theory and its relations with positive real systems theory. In analogy with the theory …
systems theory and its relations with positive real systems theory. In analogy with the theory …
Robust output feedback consensus for networked negative-imaginary systems
J Wang, A Lanzon, IR Petersen - IEEE Transactions on …, 2015 - ieeexplore.ieee.org
A robust output feedback consensus problem for networked homogeneous negative-
imaginary (NI) systems is investigated in this technical note. By virtue of NI systems theory, a …
imaginary (NI) systems is investigated in this technical note. By virtue of NI systems theory, a …
Robust cooperative control of multiple heterogeneous negative-imaginary systems
J Wang, A Lanzon, IR Petersen - Automatica, 2015 - Elsevier
This paper presents a consensus-based robust cooperative control framework for a wide
class of linear time-invariant (LTI) systems, namely Negative-Imaginary (NI) systems. Output …
class of linear time-invariant (LTI) systems, namely Negative-Imaginary (NI) systems. Output …
Discrete-time negative imaginary systems
A Ferrante, A Lanzon, L Ntogramatzidis - Automatica, 2017 - Elsevier
In this paper we introduce the notion of a discrete-time negative imaginary system and we
investigate its relations with discrete-time positive real system theory. In the framework …
investigate its relations with discrete-time positive real system theory. In the framework …