A negative imaginary approach to hybrid integrator-gain system control
Systems and Control
2023-03-24 v2 Systems and Control
Optimization and Control
Abstract
In this paper, we show that a hybrid integrator-gain system (HIGS) is a nonlinear negative imaginary (NNI) system. We prove that the positive feedback interconnection of a linear negative imaginary (NI) system and a HIGS is asymptotically stable. We apply the HIGS to a MEMS nanopositioner, as an example of a linear NI system, in a single-input single-output framework. We analyze the stability and the performance of the closed-loop interconnection in both time and frequency domains through simulations and demonstrate the applicability of HIGS as an NNI controller to a linear NI system.
Cite
@article{arxiv.2209.01759,
title = {A negative imaginary approach to hybrid integrator-gain system control},
author = {Kanghong Shi and Nastaran Nikooienejad and Ian R. Petersen and S. O. Reza Moheimani},
journal= {arXiv preprint arXiv:2209.01759},
year = {2023}
}
Comments
This paper was presented at the 61st IEEE Conference on Decision and Control (CDC), 2022. A short version was published in the proceedings of the conference