The effect of the fractional-order controller's orders variation on the fractional-order control systems

This paper concerns fractional-order controllers. The definitions and properties of fractional calculus are introduced. The mathematical descriptions of the fractional-order system and the fractional-order controller are outlined. The variation of the fractional-order controller's order and its effect on the fractional-order control systems are investigated by qualitative analysis and simulation study. Conclusions and simulation examples are given.