  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.
