A design method of phase control system for SISO system using Hilbert transformer

In several previous researches, it was discovered that instantaneous phase is one of the universal features of tasks, especially writing tasks. Therefore, this paper focuses on a force-amplitude/phase control of a 1 degree of freedom system. In this paper, the SISO system is extended into a MIMO system defined in a complex plane by using Hilbert transformation. The amplitude/phase controllers of a proposed system are designed in the complex plane, respectively. The proposed system is expected to control force amplitude and force phase of the system, independently. The performance of the proposed system was evaluated through several simulations.