Homework Answers
Bode plot is drawn using MATLAB and code is also provided.
First convert the transfer function to normal form G(s) = 0.05(s + 5)/s2(s + 1)(s + 1000)
![Command Window New to MATLAB? See resources for Getting Started. [0.05 0.25 > n 0.0500 0.2500 >d poly ([0 0-1-1000]) 1 1001 1](http://img.homeworklib.com/images/a39106f6-a44d-4d71-9aef-efadd4dc8f1d.png?x-oss-process=image/resize,w_560)
As gain crossover frequency (0.0158 rad/s) is greater than phase crossover frequency (0 rad/s), the system is unstable.
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b) Construct the Bode plot for the transfer function 100(1+0.2s) G(s)(1+0.1s)(1+0.001s)* and H(s) = 1 From...
3. Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open...
Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open looptransfer function is given by \(G(S)=\frac{100}{S(S+1)(2+S)} .\) From the bode plot determinea) Gain and phase crossover frequencies.b) Gain and Phase margin, andc) Stability of the closed loop system
Draw the Bode Plot for the system having the below transfer function Calculate a. Gain margin...
Draw the Bode Plot for the system having the below transfer function Calculate a. Gain margin b. Phase margin c. Gain crossover frequency d. Phase crossover frequency * 100 G(s) = s(s+1)(s+2)
Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s).
1 Consider the system shown as below. Draw a Bode diagram of the open-loop transfer function G(s). Determine the phase margin, gain-crossover frequency, gain margin and phase-crossover frequency, (Sketch the bode diagram by hand) 2 Consider the system shown as below. Use MATLAB to draw a bode diagram of the open-loop transfer function G(s). Show the gain-crossover frequency and phase-crossover frequency in the Bode diagram and determine the phase margin and gain margin. 3. Consider the system shown as below. Design a...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find...
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
0.1s(s 50)(s 200) G(s) (s+2)(s 2s+100) Consider the transfer function above a) Draw the Bode diagrams...
0.1s(s 50)(s 200) G(s) (s+2)(s 2s+100) Consider the transfer function above a) Draw the Bode diagrams of the system, both magnitude and phase, by hand. b) Verify your results by using MATLAB's built-in 'bode' command.
0.1s(s 50)(s 200) G(s) (s+2)(s 2s+100) Consider the transfer function above a) Draw the Bode diagrams of the system, both magnitude and phase, by hand. b) Verify your results by using MATLAB's built-in 'bode' command.
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...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided...
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided graph and calculate the bandwidth of this signal conditioner. GO 10s +1 S2 + 10s + 24 Table 2 Components in G(S) Asymptotes for Magnitude Asymptotes for Phase 20 log,0 1G(jw) Frequency-rad/sec Phase - degrees Frequency - rad/sec
One system has been designed to control the power distribution in a resident area in Bestari...
One system has been designed to control the power distribution in a resident area in Bestari Jaya. Given an open loop transfer function of the system as follows: 250 K G(s) = (5 + 5)(s + 50) As an engineer that incharge of that area, you were asked to analyse the system. In order to do so, the use of bode plot can be adopted. a) By using the straight line approximation method, draw the bode plot for magnitude and...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e()...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
Construct the bode plot on a semilog Graph-paper for a unity feedback system whose open looptransfer function is given by \(G(S)=\frac{100}{S(S+1)(2+S)} .\) From the bode plot determinea) Gain and phase crossover frequencies.b) Gain and Phase margin, andc) Stability of the closed loop system
Draw the Bode Plot for the system having the below transfer function Calculate a. Gain margin b. Phase margin c. Gain crossover frequency d. Phase crossover frequency * 100 G(s) = s(s+1)(s+2)
3. Consider a unity feedback system with G(s)=- s(s+1)(s+2) a) Sketch the bode plot and find the phase margin, gain crossover frequency, gain margin, and phase crossover frequency. b) Suppose G(s) is replaced with — - Kets s(s+1)(s+2) i. For the phase margin you have computed in (a), find the minimum value for t that makes the system marginally stable. Suppose t is 1 second. What is the range of K for stability? (You can use MATLAB for this part.)...
0.1s(s 50)(s 200) G(s) (s+2)(s 2s+100) Consider the transfer function above a) Draw the Bode diagrams of the system, both magnitude and phase, by hand. b) Verify your results by using MATLAB's built-in 'bode' command.
0.1s(s 50)(s 200) G(s) (s+2)(s 2s+100) Consider the transfer function above a) Draw the Bode diagrams of the system, both magnitude and phase, by hand. b) Verify your results by using MATLAB's built-in 'bode' command.
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...
7. Consider the system with transfer function 100 G(s) = (s + 202 (a) Sketch the bode plot and Nyquist diagrams and determine the range of proportional closed loop gain K for stability. (b) What positive gain K will yield a phase margin of 30 degrees ?
Sketch the bode plot of a signal conditioner with the transfer function G(s) in the provided graph and calculate the bandwidth of this signal conditioner. GO 10s +1 S2 + 10s + 24 Table 2 Components in G(S) Asymptotes for Magnitude Asymptotes for Phase 20 log,0 1G(jw) Frequency-rad/sec Phase - degrees Frequency - rad/sec
One system has been designed to control the power distribution in a resident area in Bestari Jaya. Given an open loop transfer function of the system as follows: 250 K G(s) = (5 + 5)(s + 50) As an engineer that incharge of that area, you were asked to analyse the system. In order to do so, the use of bode plot can be adopted. a) By using the straight line approximation method, draw the bode plot for magnitude and...
Consider the unity-feedback system shown below: R(s) E(s) input: r(t), output: y(t) C(s) P(s) error: e() r(t) y(t) closed-loop transfer-function: Hyr(sD t the closed-loop transfer-function be Hyr(s) Y (s) R(s) Let the transfer-function of the plant be P(s) 10 s (s 1) (s 5) The open-loop transfer-function is G(s) P(s) C(s) DESIGN OBJECTIVES: Find a controller C(s) such that the following are satisfied i) The closed-loop system is stable. ii) The steady-state error ess due to a unit-ramp input r(t)...
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