Scenario: A general heating system control loop is shown in Figure 5. The following discussions can...
57. A common application of control systems is in regulating the temperature of a chemical process (Figure P6.13). The flow of a chemical reactant to a process is controlled by an actuator and valve. The reactant causes the temperature in the vat to change. This temperature is sensed and com- pared to a desired set-point temperature in a closed loop, where the flow of reactant is adjusted to yield the desired temperature. In Chapter 9, we will learn how a...
Question 1 For the following closed-loop control system, identify the element/signal for each number: 1 5 3 6 oo Actuator 9 7 4 N. A. Desired Output 2 B. Actual Output 3 C. Error 4 D. Sensor 5 E. Controller F. Plant G. Manipulated variable H. Measured Output Control Input
A1 A water heating system is represented by the block diagram shown in figure A1. The valve mixes hot and cold water to obtain the desired water temperature using an integral controller of gain K. The water temperature is controlled by sensing the output temperature 0o and comparing with the desired temperature 0d. Write down an expression, in Bode form, for the open-loop frequency response function in terms of K and frequency o. Hence draw the open-loop Bode plot for...
Report task. A standard closed-loop control system is shown in Figure 6. Classify the different components and signals of the electronic compass system in the control engineering terms used in Figure 6, i.e. which components represent the controller, which the plant, what is the output signal, what the actuation signal. Reference Control Actuation Output error Controller signal Pant signal Y (s) value R(s) + U(s) E(s) K (s) G(s) Measured output signal Y (s) H(s) Measurement Figure 6: Basic control...
Question 1 (TCO 1) An open-loop control system has all the following except? actuator controller sensor process Question 2 (TCO 1) The controlled variable in a closed-loop system is the direction of a robot arm. Initially it is at 50o; then it is commanded to go to 15o. When the error is 10ofor the first time, what is direction of the robot arm? 15o 25o 10o 35o Question 3 (TCO 1) Which of the following is a closed-loop system? Turning...
control system System Description: The figure 1 and 2 below show, respectively, components and block diagram of a motor and the measurements of velocity (via the tacho unit) and position (via the potentiometer). n represents the gearbox ratio between the rotating shaft and the output shaft. The left-hand side of the diagram represents the controller. A reference set point for the rotating shaft is entered in degrees and this is equivalent voltage. The error is calculated by subtracting the measured...
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...
Problem 51: (25 points) Figure 5 is an example of a feedback control system that is designed to regulate the angular position θ(t) of a motor shaft to a desired value θr(t). The signal e(t) represents the error between the measured shaft angle θ(t) and the desired shaft angle θ (t). The Laplace transforms ofa,(t), θ(t), and e(t) are denoted as ΘR(s), θ(s), and E(s), respectively. The control gains Ki and K2 are chosen by the control engineer to achieve...
Question 1 a) Define the term transfer function in relation to a linear control system. [5 marks] Figure Q1 shows a block diagram of a feedback control system, with a plant with transfer function G(s) , a controller with transfer function C(s) , and a sensor with transfer function H(s) . b) Derive from first principles the closed loop transfer function G (s) cl from the reference signal r(t) , to the output signal y(t) . [5 marks] c) Give...
3. For the feedback control system shown in Figure Q3 below, the forward-path transfer function given by G(s) and the sensor transfer function is given by H(s). R(s) C(s) G(s) H(s) Figure Q3 It is known that G(s) -- K(+20) S(+5) H(s) = and K is the proportional gain. (S+10) i. Determine the closed-loop transfer function and hence the characteristic equation of the system. [6 marks] ii. Using the Routh-Hurwitz criterion, determine the stability of the closed-loop system. Determine the...