The temperature of an 11 m2 room is controlled by changing the power of the radiator. Open loop transfer function of radiator in the room is T(s) (1 × 10-“)s² + (1.314 x 10-")s + (2.66 × 10-13) G(s) Q(s)¯ s³ + 0.00163s² + (5.272 × 10-7)s + (3.538 × 10-11) and the closed loop view of the system is as shown in Figure 4. (a) calculate the system stationary state error for step input. (b) is it possible to design a PI controller with Zero static state error to step input without changing the transient phase response much? Why? (c) form a Zero static state error to step input without changing the transient phase response Gc(s * K(s+z) ) much in the form PI controller, set it.

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The temperature of an 11 m2 room is controlled by changing the power of the radiator. Open loop
transfer function of radiator in the room is
(1 x 10-6)s² + (1.314 x 10-9)s + (2.66 × 10-13)
T(s).
G(s) =
Q(s)¯ s³ + 0.00163s² + (5.272 × 10-7)s + (3.538 × 10-11)
and the closed loop view of the system is as shown in Figure 4.
(a) calculate the system stationary state error for step input.
(b) is it possible to design a PI controller with Zero static state error to step input without changing
the transient phase response much? Why?
(c) form a Zero static state error to step input without changing the transient phase response
Ge(s) =
K(s+z)
') much
in the form PI controller, set it.
Transcribed Image Text:The temperature of an 11 m2 room is controlled by changing the power of the radiator. Open loop transfer function of radiator in the room is (1 x 10-6)s² + (1.314 x 10-9)s + (2.66 × 10-13) T(s). G(s) = Q(s)¯ s³ + 0.00163s² + (5.272 × 10-7)s + (3.538 × 10-11) and the closed loop view of the system is as shown in Figure 4. (a) calculate the system stationary state error for step input. (b) is it possible to design a PI controller with Zero static state error to step input without changing the transient phase response much? Why? (c) form a Zero static state error to step input without changing the transient phase response Ge(s) = K(s+z) ') much in the form PI controller, set it.
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