Version 1.0, August 31, 2001, Copyright, Hugh Jack 1993-2001
· The deadbeat controller can call for extremely high gains, but this requires a high level of power not commonly found in engineered systems.
· When we want to slow down the system response so that it occurs over a number of controller steps, we can replace the deadbeat (one time step) function with a gradual first order reduction (exponential decay) over a number of time steps.
· This gradual response will use a time constant to produce the rate of response (recall that the difference between input and output is reduced 63% for each duration of the time constant).
· The general form of this relationship is seen below,
· Consider the example for the deadbeat controller,
· Assume the response time constant should be 1.0 seconds, and the sampling time is 0.2 seconds, develop the final form of the controller.
