Control systems.

Obtain: -Representation of the system using a block diagram -Obtain its mathematical model in state space -Get its transfer function

delay systems: Mixer/Shower on the left, Rolling Ma chine on the right. alt) b(1) a(1) d.V,7 b() d.v,T Valve Output measurement Rolling stands Thickness measurement In the above figure d, v, T, denote the distance, speed, and time, respectively. The input is exerted at the point a, and the output is measured at the point b. If the delay time T is the only difference between the quantities at points a and b, then: B(s) b(t) = alt - T) or Ali In other words, a pure delay has the input-output Y($) description y(t) = u(t T) and the transfer function (8) . It should be clarified that le-iwt = 1 and Le-WT = -wl. That is, the delay term is an allbass system/filter and its pha se increases linearly with frequency delay systems: Mixer/Shower on the left, Rolling Ma chine on the right. alt) b(1) a(1) d.V,7 b() d.v,T Valve Output measurement Rolling stands Thickness measurement In the above figure d, v, T, denote the distance, speed, and time, respectively. The input is exerted at the point a, and the output is measured at the point b. If the delay time T is the only difference between the quantities at points a and b, then: B(s) b(t) = alt - T) or Ali In other words, a pure delay has the input-output Y($) description y(t) = u(t T) and the transfer function (8) . It should be clarified that le-iwt = 1 and Le-WT = -wl. That is, the delay term is an allbass system/filter and its pha se increases linearly with frequency