2. RIs) →G₁. - 1 as+b C(s) A PI (proportional+integral) controller is to be designed for the unity feedback control system with the block diagram shown in the figure and specifications of the system parameters listed below. a = 900; a = 40 The performance requirements from the controller for step input r(t)=15 are as follows: Steady-state error < 3%, rise time< 7s, maximum overshoot < 12%
2. RIs) →G₁. - 1 as+b C(s) A PI (proportional+integral) controller is to be designed for the unity feedback control system with the block diagram shown in the figure and specifications of the system parameters listed below. a = 900; a = 40 The performance requirements from the controller for step input r(t)=15 are as follows: Steady-state error < 3%, rise time< 7s, maximum overshoot < 12%
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![2.
RIs)
-
1
C(s)
A PI (proportional+integral) controller is to be designed for the unity feedback control system with the
block diagram shown in the figure and specifications of the system parameters listed below.
a = 900; a = 40
The performance requirements from the controller for step input r(t)=15 are as follows:
Steady-state error < 3%, rise time< 7s, maximum overshoot < 12%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00e6e530-9b09-45a9-bfb5-026aede9d5b5%2F75d161ee-090e-492b-973d-1f2d7f0a22fb%2Flrl6np4_processed.png&w=3840&q=75)
Transcribed Image Text:2.
RIs)
-
1
C(s)
A PI (proportional+integral) controller is to be designed for the unity feedback control system with the
block diagram shown in the figure and specifications of the system parameters listed below.
a = 900; a = 40
The performance requirements from the controller for step input r(t)=15 are as follows:
Steady-state error < 3%, rise time< 7s, maximum overshoot < 12%
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Step 1: Given information to design a PI controller.
VIEWStep 2: Determination of the closed-loop dominant poles.
VIEWStep 3: Determination of the closed-loop characteristics equation.
VIEWStep 4: Writing the magnitude and angle conditions to design by root locus method.
VIEWStep 5: Calculation of the controller parameters by angle condition.
VIEWStep 6: Calculation of the controller parameters by magnitude condition.
VIEWStep 7: Deriving the transfer function of the PI cntroller.
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