Abstract
To accomplish high-speed and high-precision positioning for systems with a pulse-width modulation (PWM)-type input, an iterative calculation method to solve a frequency-shaped final-state control (FFSC) problem is proposed. The FFSC method calculates a feedforward input that drives a system from the initial state to a target state, where the input is chosen such that it will be smooth and the gains of its Fourier transformation at given frequencies will be minimal. Because the conventional FFSC supposes that the control input is generated through the zero-order hold, we have extended the FFSC so that it can be applied to the PWM-type systems.