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Question 6 Consider the system shown in Figure 4. The open-loop transfer function is given by...
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...
design a lead compensator For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50° For the system with the following open loop transfer function, G(S) (05s+1 Design a lead compensator so that the velocity error constant 20 sec and the phase margin is at least 50°
4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°. 4. The transfer function of temperature control system is given by a 1 G (8) (0.5s1) (s1) (2s + 1) Design a compensator such that the static position error constant, Kp 9 and the phase margin is at least 25°.
6) The open loop transfer function of a control system is 10-011. Ata frequency of 1 Hz, the system phase shift is: (1) 0.9 kg (2) 5.7" tag (3) 18 (6) 36"lag (5) none of the above h) The open-loop transfer function of control system is 10 At high frequencies, the gain will: (1) be constant (2) roll off at -20 d/decade (3) roll off at -40 dB/decade (6) roll off at 60 dB/decade The open-loop transfer function of a...
P4) Consider a system with open loop transfer function of G(s) ? a) Sketch the Bode plot. b) Design a PI controller to make the system have a phase margin of 45°. Assume that the open loop s+1)3 gain results in acceptable steady-state error
4. Referring to the closed-loop system shown as below, design a lead compensator Ge(s) such that the phase-margin is 45o, gain margin is not less than 8dB, and the static velocity error constant Ky is 4.0 sec1. Plot unit-step and unit-ramp response curves of the compensated system with MATLAB.
Y(s) C(s) G(s) R(S) Figure 1: Closed-loop system Q2 Consider the setup in Figure 1 with S s1 (i) Design a K,τ, α in the lead compensator 1TOS so that the closed-loop system shown in Figure 1 has a steady state error of.0 for a unit ramp reference input at R and a phase margin of about 45 degrees K, α, τ without Bode plots. When you add phase with the lead compensator add an additional 10 degrees of phase....
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...
Consider the digital control system shown in figure below. Draw a Bode diagram in the w plane. Set the gain K so that the phase margin becomes equal to 50°. With the gain K so set, determine the gain margin and the static velocity error constant Kv The sampling period is as sumed to be 0.1 sec, or T-0.1 ctt) -Ts rtr ss 10) Gls)
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...