A manufacturer uses an adhesive to form a seam along the edge of the material. It is critical that the glue be applied evenly to avoid flaws; however, the speed at which the material passes beneath the dispensing head is not constant. The glue needs to be dispensed at a rate proportional to the varying speed of the material. The controller adjusts the valve that dispenses the glue [12]. The system can be represented by the block diagram shown in Figure 13.15, where Gp(s) = 2 / (0.03, + 1 ) with a zero-order hold G()(s). Use a controller

that represents an integral controller. Determine G(z)D(z) for T = 30 ms, and plot the root locus. Select an appropriate gain K and plot the step response.

Transcribed Image Text:

KT KTz