Chemical Engineering

Consider a first-order system that is initially at steady state. At t = 0 the input varies in the way shown in Figure P3.7a. The input shown in this figure is periodic and is known as square wave of amplitude M and half-period γ. The output of the system is also periodic for large times as shown in Figure P3.7b. Calculate an analytic expression for the output response for large times.

 

Figure P3.7 y(t) u(t) -M +M 0 7 2y 3y 4y 5y 67 e AM vy (v+1) (v+2)