论文标题

用于混合整合器增益系统控制的负面虚构方法

A negative imaginary approach to hybrid integrator-gain system control

论文作者

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

论文摘要

在本文中,我们表明混合积分器增益系统(HIGS)是非线性负虚拟(NNI)系统。我们证明,线性负假想(NI)系统和HIGS的正反馈互连在渐近稳定。在单输入单输出框架中,我们将HIG应用于MEMS纳米灵敏剂,作为线性NI系统的一个示例。我们通过模拟分析了时间域和频域中闭环互连的稳定性和性能,并证明了HIG作为NNI控制器对线性NI系统的适用性。

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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