Highly utilized permanent magnet synchronous machines show magnetic saturation and cross-coupling effects. These phenomena are described by nonlinear differential equations and make feedback current control of the machine challenging. State of the art current control methods usually ignore these effects and hence do not produce optimal results in transient operation or in operation at the inverter voltage limit. Therefore, this paper presents a method to design a current controller taking into account saturation and dynamic cross-coupling. Feed forward calculation of transient quantities in realtime enables complete decoupling and dead-beat behavior which is experimentally validated by test bench measurements. With this approach, strongly nonlinear, highly utilized synchronous machines can be successfully controlled achieving best control quality in all operational conditions.