The following open-loop continuous-time transfer function represents a second-ordeT 8ystem that is to be controlled U8ing a digital computer with ZOH.

1 G(s) = (s + 1)(s + 10) ·

Choose a suitable 8ampling interval T and design a digital PID contmlleT that ensures that the settling time t 8 :S 1sec, damping ratio ~ 2: 0.5 and there is zem steady state ermr to a step input.

Problem