Generalizing negative imaginary systems theory to include free body dynamics: Control of highly resonant structures with free body motion

MA Mabrok, AG Kallapur, IR Petersen… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
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 …

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 …

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 negative-imaginary lemma without minimality assumptions and robust state-feedback synthesis for uncertain negative-imaginary systems

Z Song, A Lanzon, S Patra, IR Petersen - Systems & Control Letters, 2012 - Elsevier
Negative-imaginary systems have important engineering applications, for example, in lightly
damped flexible structures with collocated position sensors and force actuators. This paper …

Vibration control of a riser-vessel system subject to input backlash and extraneous disturbances

Z Zhao, S Lin, D Zhu, G Wen - IEEE Transactions on Circuits …, 2019 - ieeexplore.ieee.org
This brief addresses the vibration control of a marine riser-vessel system influenced by
extraneous disturbances and input backlash. By resolving the backlash nonlinearity as an …

Spectral conditions for negative imaginary systems with applications to nanopositioning

MA Mabrok, AG Kallapur, IR Petersen… - … ASME Transactions on …, 2013 - ieeexplore.ieee.org
The negative imaginary (NI) property is exhibited by many systems such as flexible
structures with force actuators and position sensors and can be used to prove the robust …

Some new results in the theory of negative imaginary systems with symmetric transfer matrix function

A Ferrante, L Ntogramatzidis - Automatica, 2013 - Elsevier
This note represents a first attempt to provide a definition and characterisation of negative
imaginary systems for not necessarily rational transfer functions via a sign condition …

Solution to negative-imaginary control problem for uncertain LTI systems with multi-objective performance

P Bhowmick, S Patra - Automatica, 2020 - Elsevier
This paper addresses the problem of dynamic output feedback controller synthesis in LMI
framework for LTI generalized plants with negative-imaginary uncertainties. The proposed …

An adaptive partial feedback linearizing control scheme: An application to a single machine infinite bus system

TK Roy, MA Mahmud, WX Shen… - IEEE Transactions on …, 2019 - ieeexplore.ieee.org
A new form of nonlinear control scheme is presented in this brief where the concepts of
feedback linearization and adaptive control schemes are combined together to design an …

Control of negative imaginary systems exploiting a dissipative characterization

P Behera, A Dey, S Patra - Automatica, 2022 - Elsevier
This paper utilizes a dissipative framework to construct a set of stabilizing controllers in
positive feedback for LTI negative imaginary (NI) systems with no pole at origin. The …