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EAB2053 1. System modelling is an important aspect of control system theory. a. Name the three...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, ho...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, how do closed-loop systems differ from open-loop systems? c) Name the three major design criteria for control systems. d) Name the performance specification for first-order systems. e) Briefly describe how the zeros of the open-loop system affect the root locus and the transient response. What does the Routh-Hurwitz criterion tell us? f) 2. Given the electric network shown in Figure. a) Write the differential equation for...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...
Answer all questions ELE380: Control Systems I Homework #1 Due: 10/3/2018 1. The circuit of a...
Answer all questions
ELE380: Control Systems I Homework #1 Due: 10/3/2018 1. The circuit of a bridged-T network is shown below. R2 CIC Show that the transfer function of the network is Vo (s)12R,Cs +R,R2C2s Vin(s) 1 (2R1 R2)Cs R,R2C2s2 Sketch the pole-zero diagram when R 0.5, R2 1,C 0.5 (Hint: One way is to start by writing KCL equations in the s-domain for nodes I and 2) 2. A feedback control system has the structure shown below. Determine the...
Question 1 a) Define the term transfer function in relation to a linear control system. [5...
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...
The de motor is a very common and very important piece of hardware in many control...
The de motor is a very common and very important piece of hardware in many control systems. The dc servo is essentially a dc motor. When used in an "armature controlled" mode, the dc motor has the following transfer function (refer to p224 and p139, Ogata): 0,(s) V (8) K S(T s +1) where is the output position and Vis the voltage to the motor system. Time Response and Tacho Feedback Compensation Figure 1 shows the dc motor connected as...
For the control system engineering problems , d) for the system of 1.c, push H(S) to...
For the control system engineering problems ,
d) for the system of 1.c, push H(S) to the left past the summing
junction and draw the equivalent system
e) for the system of 1.c, push H(S) to the right past the pick
off point and draw the equivalent system
please answer D) AND E)
s+5 and A. Find the equivalent transfer function of three cascaded blocks, G1 G3(s) = $15 B. Find the equivalent transfer function of three parallel blocks, G...
A closed-loop control system is shown in Figure 3 7000 +52 + 700s +1200) 1 Figure...
A closed-loop control system is shown in Figure 3 7000 +52 + 700s +1200) 1 Figure 3 A. Determine the transfer function T(s) = Y(s)/R(s). B. Use a unit step input, R(s) = 1/s, and obtain the partial expansion for y(s). C. Predict the final value of y(t) for the unit step input.
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure (a), here below. The output of this system exhibits continued oscillations and is not desirable. This system can be improved by using a tachometer feedback. Ki, as shown in Figure (b). Assuming that = 4, using block diagram algebra and theory of time performance specifications for second order systems, please, compute: (1) the value of the gain K such that closed loop transfer function...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s)...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the measured water temperature, Ta is the ambient temperature and u(t) is the rate of heat supplied to the heater. The mathematical model of a simple thermal system consisting of an insulated tank of water is given by: dTW = c(1, - Iw) +u dt where c is the heat insulation coefficient. Heater Water R(s) Ta Gc/s) u(1)...
MA3005 Control Theory Homework 1 (due in Week 10/02 - 14/02) Consider a differential-drive mobile robot...
MA3005 Control Theory Homework 1 (due in Week 10/02 - 14/02) Consider a differential-drive mobile robot as in the figure below top view) For each question, write the answer (A, B, C or D) at the beginning of your solution, and then show your workings (mandatory). Q2 [5 marks) In practice, because of friction and transmission delays, the relationship between the commanded and the actual u, is modeled by a first-order transfer function with time constant T. The relationship between...
' 1. Review Question a) Name three applications for feedback control systems. b) Functionally, how do closed-loop systems differ from open-loop systems? c) Name the three major design criteria for control systems. d) Name the performance specification for first-order systems. e) Briefly describe how the zeros of the open-loop system affect the root locus and the transient response. What does the Routh-Hurwitz criterion tell us? f) 2. Given the electric network shown in Figure. a) Write the differential equation for...
Q2 (a) List down THREE (3) important requirements to design a control system. (3 marks) State the possible consequence when a physical system becomes unstable. (2 marks) (6) (c) Consider the following characteristic Equation shown below: P(s) = 55 +683 + 582 +8s + 20 (1) Construct Routh table for the characteristic Equation. (6 marks) (ii) Using the Routh – Hurwitz criterion, determine the stability of the system. (2 marks) (ii) Determine the numbers of roots on the right half-plane,...
Answer all questions
ELE380: Control Systems I Homework #1 Due: 10/3/2018 1. The circuit of a bridged-T network is shown below. R2 CIC Show that the transfer function of the network is Vo (s)12R,Cs +R,R2C2s Vin(s) 1 (2R1 R2)Cs R,R2C2s2 Sketch the pole-zero diagram when R 0.5, R2 1,C 0.5 (Hint: One way is to start by writing KCL equations in the s-domain for nodes I and 2) 2. A feedback control system has the structure shown below. Determine the...
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...
The de motor is a very common and very important piece of hardware in many control systems. The dc servo is essentially a dc motor. When used in an "armature controlled" mode, the dc motor has the following transfer function (refer to p224 and p139, Ogata): 0,(s) V (8) K S(T s +1) where is the output position and Vis the voltage to the motor system. Time Response and Tacho Feedback Compensation Figure 1 shows the dc motor connected as...
For the control system engineering problems ,
d) for the system of 1.c, push H(S) to the left past the summing
junction and draw the equivalent system
e) for the system of 1.c, push H(S) to the right past the pick
off point and draw the equivalent system
please answer D) AND E)
s+5 and A. Find the equivalent transfer function of three cascaded blocks, G1 G3(s) = $15 B. Find the equivalent transfer function of three parallel blocks, G...
A closed-loop control system is shown in Figure 3 7000 +52 + 700s +1200) 1 Figure 3 A. Determine the transfer function T(s) = Y(s)/R(s). B. Use a unit step input, R(s) = 1/s, and obtain the partial expansion for y(s). C. Predict the final value of y(t) for the unit step input.
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure (a), here below. The output of this system exhibits continued oscillations and is not desirable. This system can be improved by using a tachometer feedback. Ki, as shown in Figure (b). Assuming that = 4, using block diagram algebra and theory of time performance specifications for second order systems, please, compute: (1) the value of the gain K such that closed loop transfer function...
Question 4 A control system is shown in Figure 3, where Ge(s) is the controller, R(s) is the setpoint temperature, Tw is the measured water temperature, Ta is the ambient temperature and u(t) is the rate of heat supplied to the heater. The mathematical model of a simple thermal system consisting of an insulated tank of water is given by: dTW = c(1, - Iw) +u dt where c is the heat insulation coefficient. Heater Water R(s) Ta Gc/s) u(1)...
MA3005 Control Theory Homework 1 (due in Week 10/02 - 14/02) Consider a differential-drive mobile robot as in the figure below top view) For each question, write the answer (A, B, C or D) at the beginning of your solution, and then show your workings (mandatory). Q2 [5 marks) In practice, because of friction and transmission delays, the relationship between the commanded and the actual u, is modeled by a first-order transfer function with time constant T. The relationship between...
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