Plot the Bode diagram and phase diagram for given Transfer Function. Explain why this is a...
The Bode diagram of the forward-path transfer function of a unity- feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system (25 points) Print and...
5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase margin and gain margin. Is the closed loop system stable? (a) (17 marks) (b) By how much must the gain be adjusted for a phase margin of 50°? (8 marks) 5. The open loop transfer function of a control system is s(1 +0.5s)(1 0.67s) Draw a Bode diagram for the system and determine the phase...
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...
U Question 2 50 pts The Bode diagram of the forward-path transfer function of a unity-feedback control system is obtained experimentally when the forward gain is fixed to certain value K. a) Find the gain and phase margin of the system from the diagram the best you can read. Is the system stable or unstable? Justify your answer. (25 points) b) Find out how much the gain must be changed from its original value for having a marginally stable system....
Problem 3. For the above feedback system, the bode diagram of the stable open-loop transfer function G(s) is plotted below: (a) Find the approximate gain margin and phase margin of the system? Is the closed-loop system stable? (b) Suppose in the closed-loop system (s) is replaced with KG(8). What is the range of K so that the closed-loop system is stable? (C) Determine the system type of G(s). (d) Estimate the steady-state errors of the closed-loop system for tracking the...
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)
A unity gain negative feedback system has an open-loop transfer function given by 4. s) = s(1 + 10s)(1 + 10s)? Draw a Bode diagram for this system and determine the loop gain K required for a phase margin of 20 deg. What is the gain margin? 5. We are given the closed-loop transfer function 10(s + 1) T(s) = 82+98+10 for a "unity feedback" system and asked to find the open-loop transfer function, generate a log-magnitude-phase plot for both...
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...
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 the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v) 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 the graph determine: Phase crossover frequency i) Gain crossover frequency ii) Phase margin iii) iv) Gain margin Stability of the system v)
Following transfer functions are given, manually plot the Nyquist diagram and straight line approximation of Bode diagram, discuss the system stability G(s)- 3s2 +8s +6 Show all step by step working out to get to final answer as shown below: Nyquist Diagram Nyquist Diagram -2 15 225 Ren Aus Reel Ai: Bode Daaram Dode Dagran 135 4% 10 Freq eney (as 10 Fraquenes (radie ysrom is stable System is stable