Adaptive control law using fractional calculus systems

摘要

The Model Reference Control System (MRACS) is the control system tuning its controller to match the controlled system to the reference model designed in the system adaptively. MRACS can control the plant containing unkown parameters properly, but it has been needed to design its construction to satisfy the model matching condition. In this paper, by designing the adaptive transfer function in MRACS with the fractional order integrator (1/s^0.5), we modified MRACS to be able to control the plant even though the model matching condition was not satisfied.