control systems a) give two advantages of feedback in control d) what is the main objective...
control systems
a) give two advantages of feedback in control
d) what is the main objective of introducing integral control? derivative control?
f) list 3 advantages of bode plot
g) what is magnitude of tx function if gain is 14db
Homework Answers
a) advantages of feedback in controls:
1.there is improvement in sensitivity
2.feedback reduces the effect of noise and disturbance on system performance
3.system becomes more accurate
4.feedback reduces the error between the reference input and the system output
d)
f)
Advantages of Bode Plot
- It is based on the asymptotic approximation, which provides a simple method to plot the logarithmic magnitude curve.
- The multiplication of various magnitude appears in the transfer function can be treated as an addition, while division can be treated as subtraction as we are using a logarithmic scale.
- With the help of this plot only we can directly comment on the stability of the system without doing any calculations.
- Bode plots provides relative stability in terms of gain margin and phase margin.
- It also covers from low frequency to high frequency range.
g)14dB = 10^(14/10)=25.12
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control systems
a) give two advantages of feedback in control
d) what is the main objective...
The forward-path transfer functions of unity-feedback control systems are given in the following equations. Plot the Bode diagram of G(ja)/K, and do the following: (1) Find the value of K so that the...
The forward-path transfer functions of unity-feedback control systems are given in the following equations. Plot the Bode diagram of G(ja)/K, and do the following: (1) Find the value of K so that the gain margin of the system is 20 dB. (2) Find the value of K so that the phase margin of the system is 45°. (a) G(s) G+0.55) (b) Gs)- s(1 +0.1s) (1 0.2s)(10.5s) (d) Go +3 (c) G(s)-3 (s +3) (s+3)4 Ke-s G1+55) (e) G (1+0.1s+0.012 G)2...
A unity feedback control system has the open loop TF as
A unity feedback control system has the open loop TF as: \(G(s)=\frac{K(s+a+1)(s+b)}{s(s+a)(s+a+2)}\)a) Find analytical expressions for the magnitude and phase response for \(\mathrm{G}(\mathrm{s}) .\left[K=K_{1}\right]\)b) Make a plot of the log-magnitude and the phase, using log-frequency in rad/s as the ordinate. \(\left[K=K_{1}\right]\)c) Sketch the Bode asymptotic magnitude and asymptotic phase plots. \(\left[K=K_{1}\right]\)d) Compare the results from \((a),(b)\), and \((c) .\left[K=K_{1}\right]\)e) Using the Nyquist criterion, find out if system is stable. Show your steps. \(\left[K=K_{1}\right]\)f) Using the Nyquist criterion, find the range...
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4 a) List the advantages and disadvantages of using negative feedback in electronic systems b) Draw...
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Feedback Systems and Digital Filters The diagram shows a negative feedback configuration of two LTI systems....
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A unity gain negative feedback system has an open-loop transfer function given by 4. s) =...
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A feedback control system with adjustable gain K is shown as in Figure 4.1. Here, Q4 1 and H (s) where b 2a bs +a G(s)= 3(s+a) Y(s) R(s) G(s) К H(s) Figure 4.1 A feedback control system with adjustable gain Sketch Nyquist plot for G(s)H(s) for 0.9 <a < 1.1. (a) (18 marks) (b) Discuss the stability of closed-loop system with open-loop function as in (a) if K 10b (7 marks)
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Implement a PID controller to control the transfer function shown below. The PID controller and plant...
Implement a PID controller to control the transfer function
shown below. The PID controller and plant transfer function should
be in a closed feedback loop. Assume the feedback loop has a Gain
of 5 associated with it i.e. . The Transfer function of a PID
controller is also given below. Start by:
6. Implement a PID controller to control the transfer function shown below. The PID feedback loop has a Gain of 5 associated with it i.e. (HS) = 5)....
The forward-path transfer functions of unity-feedback control systems are given in the following equations. Plot the Bode diagram of G(ja)/K, and do the following: (1) Find the value of K so that the gain margin of the system is 20 dB. (2) Find the value of K so that the phase margin of the system is 45°. (a) G(s) G+0.55) (b) Gs)- s(1 +0.1s) (1 0.2s)(10.5s) (d) Go +3 (c) G(s)-3 (s +3) (s+3)4 Ke-s G1+55) (e) G (1+0.1s+0.012 G)2...
Spring 2019 3. Given a closed-loop control system with unity feedback is shown in the block diagram. G(s) is the open-loop transfer function, and the controller is a gain, K. 1. (20) Calculate the open-loop transfer function tar →Q--t G(s) (10) Calculate the steady-state error to a step input of the open-loop system. 7. (in Bode Form) from the Bode plot. (10) Calculate the shortest possible settling time with a percentage overshoot of 5% or less. 8. 2. (10)Plot the...
4 a) List the advantages and disadvantages of using negative feedback in electronic systems b) Draw a block diagram of an amplifier with feedback, labelling clearly the open loop gain Aol and feedback fraction, ?. Show that the gain with feedback is given by Under what conditions is the closed loop gain insensitive to variations in the open loop gain? c) Identify the feedback topology of the amplifier shown in Figure Q6c and hence the amplifier type. Represent the circuit...
Feedback Systems and Digital Filters The diagram shows a negative feedback configuration of two LTI systems. The feedforward system F(s) has an impulse response of f). The feedback system G(s) has an impulse response of g(0). The error function e() is given by: *0e() y(O) - F(s) G(s) The output is given by: y(t)-e(t) & f( We have yli)-[x(t)-g(t) ? y(t)] f(t). Taking LT: y(s)(1+F(s)o(s))=x(s)r(s). The overall transfer function is H(s) x(s) 1+F(s)G(s) 1
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Not all second-order systems are designed to give a standard 2"d order response. Consider the power steering for an automobile. The feedback system can be modeled as the block diagram shown in the figure below. For a unit step input A(s), find values of K1 and K2 for which the response w(t) is critically damped and has a steady-state gain of 0.4 unit. Repeat for a damping ratio of 0.7 and a steady-state gain of 0.2 unit. 7) Control Steering...
A feedback control system with adjustable gain K is shown as in Figure 4.1. Here, Q4 1 and H (s) where b 2a bs +a G(s)= 3(s+a) Y(s) R(s) G(s) К H(s) Figure 4.1 A feedback control system with adjustable gain Sketch Nyquist plot for G(s)H(s) for 0.9 <a < 1.1. (a) (18 marks) (b) Discuss the stability of closed-loop system with open-loop function as in (a) if K 10b (7 marks)
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Implement a PID controller to control the transfer function
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controller is also given below. Start by:
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