Q4) Consider the system shown in Figure Q3. This is a PID control of a second-order plant G(s). Assume that disturbances d(s) enter the system as shown in the diagram. It is assumed that the reference input F(s) is normally held constant, and the response characteristics to disturbances are a very important consideration in this system. (s)p f(s) C(s) G(s) y(s) H(s) Figure Q3 1 K(as + 1)(bs + 1) G(s) C(s) = H(s) = 1 s² + 7s + 10' In the absence of the reference input i.e. F(s) = 0, derive the closed-loop transfer function between y(s) and d(s). a) b) The performance specification requires that the unit step disturbance response be such that the settling time be approximately half a second and the system has reasonable damping. We may interpret the specification as 3 = 0.8 and wn = 8 for the dominant closed-loop poles. We may choose the third pole at s = - 10 so that the effect of this real pole on the response is small. Derive the required characteristic polynomial that satisfies the above performance specification. c) Using the result in a) and b), calculate the controller parameters ab, a + b and K. Hence write down the controller transfer function C(s).

Q4) Consider the system shown in Figure Q3. This is a PID control of a second-order plant G(s). Assume that disturbances d(s) enter the system as shown in the diagram. It is assumed that the reference input F(s) is normally held constant, and the response characteristics to disturbances are a very important consideration in this system. (s)p f(s) C(s) G(s) y(s) H(s) Figure Q3 1 K(as + 1)(bs + 1) G(s) C(s) = H(s) = 1 s² + 7s + 10' In the absence of the reference input i.e. F(s) = 0, derive the closed-loop transfer function between y(s) and d(s). a) b) The performance specification requires that the unit step disturbance response be such that the settling time be approximately half a second and the system has reasonable damping. We may interpret the specification as 3 = 0.8 and wn = 8 for the dominant closed-loop poles. We may choose the third pole at s = - 10 so that the effect of this real pole on the response is small. Derive the required characteristic polynomial that satisfies the above performance specification. c) Using the result in a) and b), calculate the controller parameters ab, a + b and K. Hence write down the controller transfer function C(s).

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...

See similar textbooks

Similar questions

LESSON is Transfer Function: Mechanical System - Rotational Movement SUBJECT: FEEDBACK CONTROL SYSTEM Box the final answer
Dynamic Circuit Design: a. Draw a 4-input Domino AND circuit and briefly explain how it works. b. Write at least 2 disadvantage of dynamic circuit design methodology.
Input signals are given as V1= 3sin(wt), V2= 2sin(wt) and V3= 1sin(wt) in circuit.) a) Find equation that expresses output signal in terms of input signals. b) Write sinuzoidal expression of output signal.
digital signal prossesing answer please as soon as possible
5. Find the transfer functions of the systems represented by signal flow graphs shown in Figures 3.52 and 3.53. (a) G, Figure 3.52 Signal flow graph. 68 Introduction to Linear and Digital Control Systems (b) G. G2 G, --H, --H, Figure 3.53 Signal flow graph.
as ap Q2c
G1 = 100, G2 = 1000 and H = 0.009 for two block diagrams as open loop and closed loop given in the figure.a. Find the output voltages when the input voltage is 10 mV.b. For both systems, if G1 and G2 are doubled due to temperature increase, what will be the output voltages even though the input remains at 10 mV?c. Interpret the above results using the system's sensitivity principle.
Input signals are given as V1 = 3sin(wt), V2 = 2sin(wt) ve V3 = 1sin(wt) in circuit. a) Find equation that expresses output signal in terms of input signals. b) Write sinuzoidal expression of output signal
Can you answer question a), b) and c)?
What are the key principles of digital circuit design, and how do engineers use them to create complex digital systems? Provide an example of a digital circuit design challenge and explain how it was solved using these principles.
I need the answer as soon as possible
9. A 6-bit DAC has an input of 1001012 and uses a 10.0 V reference. i. Find the output voltage produced. ii. Specify the conversion resolutions