Time optimal design of discrete data systems in the frequency domain

The main objective of any time optimal design is to develop a control law to drive the state variables of the system, from a given set of initial values to a desired set of final values. Sometimes, it is required to drive the systems such that the output for a unit step input is reached in a minimum time, without overshoot [5-7]. Although the problem is normally set in the frequency domain, it is usual to convert it into the time domain for determining the optimal control sequence. It is shown in the paper that the entire time optimal design can be effectively carried out if the transfer function of the plant is given in the Z domain. © 1974.