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Consider a system with a loop transfer function L(s) = /6 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 the transfer function: ls0 (s +0.5(s +2(s +3)(s +4(s+10) (s +3.5) (s +4.5) (s 5.5) (s...
3. Consider the transfer function: ls0 (s +0.5(s +2(s +3)(s +4(s+10) (s +3.5) (s +4.5) (s 5.5) (s 6.5)(s +20.5) (a) [6] Find the phase angle (degrees) and gain (in dB, Bode units) for the following frequencies (in rad/sec) rail Gp(ju) dB 0.1 21 56 b) [3 What is the gain crossover frequency for this system? (c) [8] Design a PD controller so that-0.3 ± 0.3] is a pole of the closed-loop system.
3. Consider the transfer function: ls0 (s...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s)...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
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...
6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks]...
6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks] Plot the Bode diagram for this loop transfer function b) 10 Marks] Determine the frequency at which the gain has unit magnitude and compute the phase angle at that frequency. Controller Process G(s)Y(s) Figure 1
3. Design a PI or PD controller for the system G(8) = s(s+10) to meet the...
3. Design a PI or PD controller for the system G(8) = s(s+10) to meet the following specifications • Zero steady state error for unit step reference input • tr< 0.12 - . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the specifications. (b) Decide if C(s) needs an integrator. Plot the Bode plot of either G(s) or G(s)/s, depending on your choice. (c) Use sisotool (or iteration) to choose a...
Answer all parts and show all work. Design a Pl or PDcontroller for the system Go)+...
Answer all parts and show all work.
Design a Pl or PDcontroller for the system Go)+ 10 to meet the following specifications Zero steady state error for unit step reference input ·4 < 0.12s . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the (b) Decide if C() needs an integrator. Plot the Bode plot of either G(s) or G(o)/s, depending on (c) Use sisotool (or iteration) to choose a gain...
Consider the transfer function of a DC motor given by G(s) = 1 / s(s+2) 3. Consider the transfer function of a DC motor...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
NEED HELP WITH 3! 2. Consider a system with an open-loop transfer function Gp(s)Plot the poles...
NEED HELP WITH 3!
2. Consider a system with an open-loop transfer function Gp(s)Plot the poles of this system (by hand) for the following values of〈 and an (a) wn 2 rad/s, 0,0.2,0.4,0.6,0.8, 1), plot the poles in bold x' markers (b) Ç-07, an-(1, 2, 3,4) rad/s, plot the poles as 4" markers Note your observations 3. For the system in 2) above, plot the poles (by hand) of the closed loop controller with Ç-07, an-2 with the control gain...
3. Consider the transfer function: ls0 (s +0.5(s +2(s +3)(s +4(s+10) (s +3.5) (s +4.5) (s 5.5) (s 6.5)(s +20.5) (a) [6] Find the phase angle (degrees) and gain (in dB, Bode units) for the following frequencies (in rad/sec) rail Gp(ju) dB 0.1 21 56 b) [3 What is the gain crossover frequency for this system? (c) [8] Design a PD controller so that-0.3 ± 0.3] is a pole of the closed-loop system.
3. Consider the transfer function: ls0 (s...
PD & PID controller design Consider a unity feedback system with open loop transfer function, G(s) = 20/s(s+2)(8+4). Design a PD controller so that the closed loop has a damping ratio of 0.8 and natural frequency of oscillation as 2 rad/sec. b) 100 Consider a unity feedback system with open loop transfer function, aus. Design a PID controller, so that the phase margin of (S-1) (s + 2) (s+10) the system is 45° at a frequency of 4 rad/scc and...
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...
6) Consider the feedback system in Figure 1 with the loop transfer function a) [8 Marks] Plot the Bode diagram for this loop transfer function b) 10 Marks] Determine the frequency at which the gain has unit magnitude and compute the phase angle at that frequency. Controller Process G(s)Y(s) Figure 1
3. Design a PI or PD controller for the system G(8) = s(s+10) to meet the following specifications • Zero steady state error for unit step reference input • tr< 0.12 - . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the specifications. (b) Decide if C(s) needs an integrator. Plot the Bode plot of either G(s) or G(s)/s, depending on your choice. (c) Use sisotool (or iteration) to choose a...
Answer all parts and show all work.
Design a Pl or PDcontroller for the system Go)+ 10 to meet the following specifications Zero steady state error for unit step reference input ·4 < 0.12s . %OS < 10%. (a) Determine the low frequency gain, crossover frequency and phase margin necessary to meet the (b) Decide if C() needs an integrator. Plot the Bode plot of either G(s) or G(o)/s, depending on (c) Use sisotool (or iteration) to choose a gain...
Consider the transfer function of a DC motor given by G(s) = 1 /
s(s+2)
3. Consider the transfer function of a DC motor given by 1 G(s) s (s2) The objective of this question is to consider the problem of control design for this DC motor, with the feedback control architecture shown in the figure below d(t r(t) e(t) e(t) C(s) G(s) Figure 4: A feedback control system (a) Find the magnitude and the phase of the frequency response...
Question 6 The open-loop transfer function G(s) of a control system is given as G(8)- s(s+2)(s +5) A proportional controller is used to control the system as shown in Figure 6 below: Y(s) R(s) + G(s) Figure 6: A control system with a proportional controller a) Assume Hp(s) is a proportional controller with the transfer function H,(s) kp. Determine, using the Routh-Hurwitz Stability Criterion, the value of kp for which the closed-loop system in Figure 6 is marginally stable. (6...
NEED HELP WITH 3!
2. Consider a system with an open-loop transfer function Gp(s)Plot the poles of this system (by hand) for the following values of〈 and an (a) wn 2 rad/s, 0,0.2,0.4,0.6,0.8, 1), plot the poles in bold x' markers (b) Ç-07, an-(1, 2, 3,4) rad/s, plot the poles as 4" markers Note your observations 3. For the system in 2) above, plot the poles (by hand) of the closed loop controller with Ç-07, an-2 with the control gain...
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