Question 37 The figure below depicts the model of an open loop system of heat exchanger with a Will the response be bounded in the figure below? e-25s 20s+1 disturbance Disturbance Model, G(s) e-11s...
Question 39 Is the response bounded? Disturbance 2e-14s 25s +1 Gd(s) Feedforward Y, Process -10s 20s +1 Ym Gm O cannot be determined O No O Yes
In a closed loop system as shown below, G.(S) =3, G(S) =4/(s+4), and H(s) = 1. (note that although the system block diagram may look the same as in some other problems, the blocks are different) Controller Process Rs) Ge(s) GS) Yis) N's) Measurement Assume that the disturbance (T(S) and noise (N(S)) are all zero, and the system is at rest initially, what is the system response y(t) when the input r(t) is a unit step function? y(t) = 1/4...
Question# 1 (25 points) For a unity feedback system with open loop transfer function K(s+10)(s+20) (s+30)(s2-20s+200) G(s) = Do the following using Matlab: a) Sketch the root locus. b) Find the range of gain, K that makes the system stable c) Find the value of K that yields a damping ratio of 0.707 for the system's closed-loop dominant poles. d) Obtain Ts, Tp, %OS for the closed loop system in part c). e) Find the value of K that yields...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
CAN YOU PLEASE ANSWER question B a) A company is redesigning its parallel-flow heat exchanger of length 1 to increase its heat transfer An end view of the unit is shown in the Figure below. There are certain limitations on the design problem. The smallest available conducting tube has a radius of 0.5 cm, and all tubes must be of the same size. Further, the total cross-sectional area of all of the tubes cannot exceed 2000 cm2 to ensure adequate...
please answer all parts and show the related work. thank you! especially the matlab parts! 1. The open loop system G()l be placed into a unity feedback system s2(s+1) as shown below. a. Sketch the Root Locus of G(s) by hand and compare your results with Matlab. Include your sketch and the Matlab plot. b. This system is unstable for all positive values of K. Explain why. c. Show with a hand sketch and Matlab plot of the root locus...
1. Consider a feedback system given below: T(s) Disturbance Controller Dynamics R(S) + Gc(s) G.(s) U(s) Sensor H(s) IMs) Sensor noise where the input and transfer functions are given as follows: R(s) = –,7,(s) = 0, N(s) = 0, G, - 15,6, -_- , and H(s) = 1. s's + 3) a. Derive the system transfer function Y(s)/R(s) = G,, poles, $, On, and, from the response function y(t), the performance measures: rise time Tr, peak time Tp, percent overshoot...
Question three The figure below shows a unit step response of a second order system. From the graph of response find: 1- The rise timet, 2- The peak timet, 3- The maximum overshoot Mp 4- The damped natural frequency w 5. The transfer function. Hence find the damping ratio ζ and the natural frequency ah-Find also the transfer function of the system. r 4 02 15 25 35 45 Question Four For the control system shown in the figure below,...