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In this paper, a new saturation control technique using fractional calculus in the framework of anti-windup compensation is developed for linear time-invariant systems subject to input nonlinearities. The difficulties of most anti-windup control methods are caused by constracting a local feedback loop of the anti-windup compensator. Instead, it is considered that a fractional order controller is simply...
This paper presents an efficient numerical method to realize a discrete model of fractional order PID controllers for systems containing backlash nonlinearity. This model is based on a class of Stieltjes integrals transferred from the Riemann-Liouville definition. The discretization method is to calculate on inhomogeneous sampling periods which are getting longer as the operation points go back toward...
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