Question 3 10 pts Controller Plant RSO 20 Gis (stusta Season Look 200 You are given...
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
Q.3(a) Transfer function model of a plant is, G(s) The controller is Ge(s)-K, where K is a constant. Find the value of K such that steady-state error for unit ramp input is 0.1. Find the gain margin and the phase mar gin (6 marks) (b) What are the effects on gain margin, phase margin and steady-state error, if the gain K is increased? (3 marks (c) Can the closed loop be unstable if the controller of Q.3(a) is implemented digi...
Question 3 (10 +10+10+15 45 marks) E(s) C(s) R(s) Figure 3: Unity feedback control system for Question 3 For the unity feedback control system shown in Figure 3, 100 G(S) (s+2)(+10) Page 3 of 7 NEE3201 Examination Paper CRICOS Provider No: 00124k a) Determine the phase margin, the gain crossover frequency, the gain margin, the phase crossover frequency of the system when Gc(s)-1, 10 marks) b) Design a proportional controller Gc(s)-K so that a phase margin of 50° is achieved....
The objective of the controller design in Fig. 1 is to find the controller Gc(s) such that I.)The closed-loop system is stable ii.)The output of the system above (y(t)) can track the reference input r(t) = At (A>0 is any real number). Use the Nyquist plot and Nyquist criterion to show that: a.)The portional controller Gc(s)=K can achieve asymptotic tracking of the ramp input r(t)=At but cannot meet the stability requirement for 0<K<+inf. b.) Can the PI controller Gc(s)=K(1+10/s) be...
Question #1 (60 pts): A closed-loop digital control system having a proportional controller is given in the following figure\(G_{1}(s)=\frac{1-\exp (-T s)}{s(s+1)}, G_{2}(s)=\frac{1}{s}, G_{3}(s)=\frac{1-\exp (-T s)}{s(s+2)}\)where \(\exp (\cdot)\) denotes the standard exponential function.a) Obtain the overall transfer function of the closed-loop system.b)Obtain the range of proportional gain (i.e., \(\mathrm{K}\) ) that guarantees the system stability via Jury'sStability Test.c) Assume that the input of the system is a unit step input (i.e., \(r(t)=u_{s}(t)\) ), obtain the gain value from the range obtained in...
PLEASE, the problem states that Gc(s)=K/(s+90), not just K. The design has the controller with a real pole. S=-90. In a standard unity-feedback system, lt the transfer finction of the plant be G(G) 1)(a5) → c(s) Design Objectives 1) The closed-loop system is stable 2) The percent overshoot of the unit-step response ofc(t) does not exceed 15% 3) The steady-state error due to a unit-step reference input is as small as possible.
You will look at both 1st and 2nd order approaches as you perform your analysis. Use math lab and Simulink as needed. Please show all calculations and any other means of analysis / simulation for full credit. Question three is the one needed to be solved, but 2 is needed to solve 3. Question 2) (25 points) Suppose instead of the cooling chamber modeled as a 1t order system, that the chamber was modeled as a 2nd system due to...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
Assignment 3: Frequency Domain Controller Design using Bode-plots 10 2 Augment the open loop plant G() +27 with sim ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of w 3 [rad/sec). (b) a phase margin better than 45o (c) a steady state error when tracking a step input < 5%. in H(s) G(s) Recall that Bode plots are applied to the loop gain. out