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arXiv · 2209.01759

A negative imaginary approach to hybrid integrator-gain system control

Kanghong Shi·Nastaran Nikooienejad·Ian R. Petersen·S. O. Reza Moheimani
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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.

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Kanghong Shi, Nastaran Nikooienejad, Ian R. Petersen, S. O. Reza Moheimani. 2022-09-05. A negative imaginary approach to hybrid integrator-gain system control. https://doi.org/10.1109/cdc51059.2022.9992758

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