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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 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.

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.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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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