“…The damping methods are used to enhance the performance of PR and PI controllers by reduction the resonance effect, in another hand, these methods add extra cost like extra power in passive damping method and extra number of sensors in active damping method. Another non-linear methods are used to enhance the performance of GCI with filter, such as predictive control [13], [14], deadbeat control [15], [16] slide model control [17], [18], adaptive control [19], [20], and passivity based control with wind system [21], railway systems [22], [23], energy storage systems [24], [25], islanded AC microgrid [26] and GCI systems [27]− [34]. The passivity-based control (PBC) strategy has simple modeling process and better performance against parameters variations with different types of filters.…”