Question

Controlling the spark ignition of an automobile engine requires

a constant behavior over a wide range of parameters. The figure

shows the control system with adjustable controller gain K. The

parameter p is equal to 3 for many cars, but can be equal to zero for

those of high performance. Select a gain K that results in a

stable system for both values of p. With the values of the gain K

selected, obtain the response (Analytical solution) of the system to an input

unit step and graph your answer for both cases.