Kesirli dereceden bir sistem için h-infinity denetleç tasarimi

This work investigates the h-infinity optimal controller design for a fractional order system with time delay. For illustrative purposes, a magnetic suspension system model, derived by Knospe and Zhu is considered. The transfer function is infinite dimensional including exp(-hs) and a rational function of s^0.5, where h>0 represents the delay. Recently in a paper by Özbay, a formulation is given to design the h-infinity optimal controller for the mixed sensitivity minimization problem for unstable infinite dimensional plants with low order weights. This formulation is used to design the h-infinity optimal controller for the fractional order system considered, and it is compared to alternative computation methods for h-infinity control of infinite dimensional systems. To implement the controller, approximation methods are also investigated. Furthermore, finite dimensional rational approximation techniques of the fractional order integrator are evaluated for simulation purposes.