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Open loop transfer fuction, please show a great solution. 104 104 Let the feedback factor B be frequency independent. Find the values of B if any at which amplifier becomes unstable. Explain....
Consider a feedback amplifier whose open-loop transfer function is given in the figure below, please explain!...
Consider a feedback amplifier whose open-loop transfer
function is given in the figure below, please explain!
104 104 Let the feedback factor B be frequency independent. Find the values of B if any at which amplifier becomes unstable. Explain.
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by...
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer f...
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s 4) (s + 2) is a circle, and find the centre and the radius. Determine the minimum value of the damping ratio and the corresponding value of K (b) The root locus of the open loop transfer function: [10 marks] s(s26s +15) is depicted in Figure Q1(b). Find the minimum value of gain K that will render the system...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%....
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a)...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a....
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a....
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
show steps please 10 A second-order open-loop system with transfer function G(s) = is to be...
show steps please
10 A second-order open-loop system with transfer function G(s) = is to be $2+45+10 controlled with unity negative feedback. (a) Derive the error transfer functions E(s) of the closed-loop system subjected to a unit step input, when using a P controller and a PI controller, respectively, in terms P control gain kp, and PI control gains kp and ki, respectively. [7] (b) Determine the steady-state errors in (a). Briefly comment on the differences in control performance by...
Please solve all parts pf the questions. Please show clear and neat work. Thank you! FEEDBACK AMPLIFIER ANALYSIS β,s/ Sa) Identify the feedback topology being used. Draw the B-network and You must j...
Please solve all parts pf the questions. Please show clear and
neat work. Thank you!
FEEDBACK AMPLIFIER ANALYSIS β,s/ Sa) Identify the feedback topology being used. Draw the B-network and You must justify or explain find the numerical value for B- your answer for full credit (20 pts) 2 Assume matching transistors with DC bias voltage (or an ac ground) Sb) Draw and fully label the A-circuit (includes loading effects, R & R but NO feedback) p) Sc) Calculate the...
please show methods and calculations 1. Using measured open-loop frequency response values as presented in Table...
please show methods and calculations
1. Using measured open-loop frequency response values as presented in Table 1, the plant transfer function in the system of Figure 1 has been estimated as 48 Gp (s)- (S+2)(s +4.8s +16) 3.0 0.4 -j 0.7 o (rad/s) 0.8 5.1 6.7 2 j01.1-j 0.8 - 0.34 +j0 -0.14 +j0.07 Table 1 To improve the accuracy of the frequency response plot, use the transfer function to estimate the open-loop frequency response Gp(G1.6) at the additional frequency...
Consider a feedback amplifier whose open-loop transfer
function is given in the figure below, please explain!
104 104 Let the feedback factor B be frequency independent. Find the values of B if any at which amplifier becomes unstable. Explain.
A2. (a) Explain how the open-loop polar plot can be used to assess closed-loop stability by applying Nyquist's stability criterion. Apply Nyquist's stability criterion to determine the stability condition for a closed-loop system that is unstable in the open-loop. [30%] = K (b) An unstable system has transfer function given by G(S) in which the gain K is S(S-2) positive. A derivative compensator H(s) = 0.5s + 1 is inserted in the negative feedback path to form a control loop....
Q1. Show analytically that the Root Locus for the unity feedback system with open loop transfer function: (a) [10 marks] K(s 4) (s + 2) is a circle, and find the centre and the radius. Determine the minimum value of the damping ratio and the corresponding value of K (b) The root locus of the open loop transfer function: [10 marks] s(s26s +15) is depicted in Figure Q1(b). Find the minimum value of gain K that will render the system...
Q3. Consider a single loop unity feedback control system of the open loop transfer function (a) Find the range of values of the gain K and the parameter p so that: (i) The overshoot is less than 10%. (ii)The settling time is less than 4 seconds Note: , 4.6 M. = exp CO 40% (b)What are the three elements in a PID controller? Considering each in turn, explain the main ways in which varying the parameters affects the closed-loop system...
Problem 5. (20pts) The open-loop transfer function of a unity feedback system G(8) -- +2) a) Locate open-loop zeros and open-loop poles. b) Construct the root-locus diagram as 0 <K <oo. Mark the portions of the real axis that belong to the root locus - Mark with K =0 the point where the root locus bra O the point where the root locus branches start and with K = oo the point where the branches end. - Find break-away and/or...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
1. A unity feedback system has open-loop transfer function given by an 100 G(s)s2)(s +4) a. Use analytical techniques (i.e. without using any plots) to estimate the closed-loop: i. Resonant frequency, w (8 marks) ii. Resonance peak, Mp (in decibels) (2 marks) i. Phase at w = 3rad/s (2 marks) b. Obtain a table for the response of the open-loop transfer function for a set S of frequency values, where S {1.5,3,5,7, 10, 15, 20} rad/s (8 marks) Hence draw...
show steps please
10 A second-order open-loop system with transfer function G(s) = is to be $2+45+10 controlled with unity negative feedback. (a) Derive the error transfer functions E(s) of the closed-loop system subjected to a unit step input, when using a P controller and a PI controller, respectively, in terms P control gain kp, and PI control gains kp and ki, respectively. [7] (b) Determine the steady-state errors in (a). Briefly comment on the differences in control performance by...
Please solve all parts pf the questions. Please show clear and
neat work. Thank you!
FEEDBACK AMPLIFIER ANALYSIS β,s/ Sa) Identify the feedback topology being used. Draw the B-network and You must justify or explain find the numerical value for B- your answer for full credit (20 pts) 2 Assume matching transistors with DC bias voltage (or an ac ground) Sb) Draw and fully label the A-circuit (includes loading effects, R & R but NO feedback) p) Sc) Calculate the...
please show methods and calculations
1. Using measured open-loop frequency response values as presented in Table 1, the plant transfer function in the system of Figure 1 has been estimated as 48 Gp (s)- (S+2)(s +4.8s +16) 3.0 0.4 -j 0.7 o (rad/s) 0.8 5.1 6.7 2 j01.1-j 0.8 - 0.34 +j0 -0.14 +j0.07 Table 1 To improve the accuracy of the frequency response plot, use the transfer function to estimate the open-loop frequency response Gp(G1.6) at the additional frequency...
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