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 …
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 …
given for the class of output strictly negative-imaginary systems and a lemma is proposed to …
On non-proper negative imaginary systems
This paper studies non-proper negative imaginary systems. First, the concept of negative
imaginary transfer functions that may have poles at the origin and infinity is introduced …
imaginary transfer functions that may have poles at the origin and infinity is introduced …
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 …
imaginary (NI) systems with non-singular DC-gain matrix to develop a constant input …
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 …
be (directly) applied. The existing closed-loop stability results for NI interconnections require …
A stability result on the feedback interconnection of negative imaginary systems with poles at the origin
This paper presents a new definition of negative imaginary (NI) systems to include poles at
the origin. Also, a necessary and sufficient stability conditions of positive feedback …
the origin. Also, a necessary and sufficient stability conditions of positive feedback …
Negative imaginary systems theory in the robust control of highly resonant flexible structures
IR Petersen - 2011 Australian Control Conference, 2011 - ieeexplore.ieee.org
This paper covers recent developments in the theory of negative imaginary systems and
their application to the control of highly resonant flexible structures. The theory of negative …
their application to the control of highly resonant flexible structures. The theory of negative …
An integral resonant control scheme for a laser beam stabilization system
Y Yue, Z Song - 2015 IEEE International Conference on …, 2015 - ieeexplore.ieee.org
Laser beam stabilization systems have important engineering applications, for example in
aircraft/spacecraft targeting, and free space laser-based communication, etc. Recent studies …
aircraft/spacecraft targeting, and free space laser-based communication, etc. Recent studies …
Negative imaginary feedback control for a 3-DOF helicopter system
SK Choudhary - 2019 8th International Conference on …, 2019 - ieeexplore.ieee.org
This paper investigates negative imaginary system theory based control solution for the
position and attitude control problem of 3 degrees of freedom (DOF) helicopter system. The …
position and attitude control problem of 3 degrees of freedom (DOF) helicopter system. The …
A riccati equation negative imaginary lemma for singular negative imaginary systems
J Dannatt, I Petersen - 2017 11th Asian Control Conference …, 2017 - ieeexplore.ieee.org
This paper presents a generalized Riccati equation negative imaginary lemma for singular
negative imaginary systems. An algorithmic approach is used to determine if a system is …
negative imaginary systems. An algorithmic approach is used to determine if a system is …