4. Design a compensator such that the following system has a damping ratio-0.45 and less ramp input. 1% for a R(s) 2 s (s+2) Ge(s) 4. Design a compensator such that the following system has a da...
7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-state error due to a ramp input is 2% of the velocity of the ramp and the phase margin is 45°.
7. Consider the following closed-loop system in which G(s5 Design a lag compensator, Ge( steady-state error due to a ramp input is 2% of the velocity of the ramp and the phase margin is 45°.
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.
Please show calculations by HAND and NOT MATLAB. The answers are
here to help. Thank you
Note : Ts= 4/&*wn (&=damping ratio)
Skill-Assessment Exercise 9.3 PROBLEM: A unity feedback system with forward transfer function 6) s(s + is operating with a closed-loop step response that has 20% overshoot. Do the following: a. Evaluate the settling time. b. Evaluate the steady-state error for a unit ramp input. c. Design a lag-lead compensator to decrease the settling time by 2 times and...
Consider the automobile cruise-control system shown below: Engine ActuatorCarburetor 0.833 and load 40 3s +1 Compensator R(s)E(s) Ge(s) s +1 -t e(t) Sensor 0.03 1) Derive the closed-loop transfer function of V(s)/R(s) when Gc(s)-1 2) Derive the closed-loop transfer function of E(s)/R(s) when Ge(s)-1 3) Plot the time history of the error e(t) of the closed-loop system when r(t) is a unit step input. 4) Plot the root-loci of the uncompensated system (when Gc(s)-1). Mark the closed-loop complex poles on...
Lag Compensator Design Using Root-Locus 2. Consider the unity feedback system in Figure 1 for G(s)- s(s+3(s6) Design a lag compensation to meet the following specifications The step response settling time is to be less than 5 sec. . The step response overshoot is to be less than 17% . The steady-state error to a unit ramp input must not exceed 10%. Dynamic specifications (overshoot and settling time) can be met using proportional feedback, but a lag compensator is needed...
2. For the system that has the loop gain transfer function shown, design a compensator that will improve the steady-state error to a unit ramp input by a factor of exactly 50 for a unity feedback system 30 G(8) s(s+1)(8 +3X8 +5) Validate your design, showing the responses using MATLAB
Q.4 A position control system is shown in Figure Q4. Assume that K(s) = K, the plant 50 s(0.2s +1) transfer function is given by G(s) s02s y(t) r(t) Figure Q4: Feedback control system. (a) Design a lead compensator so that the closed-loop system satisfies the following specifications (i) The steady-state error to a unit-ramp input is less than 1/200 (ii) The unit-step response has an overshoot of less than 16% Ts +1 Hint: Compensator, Dc(s)=aTs+ 1, wm-T (18 marks)...
design this compensator using root locus?
note: answer using root locus
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency n6 rad/sec. (8 marks) We were unable to transcribe this image
1- Consider a system with the following open loop Transfer Function: G(s)--10 s(s2 + 10s + 16) Design a compensator to obtain a damping ratio-0.5 and a natural frequency...
urgent!!
II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that: 1. The steady- state error with respect to a unit ramp input is no more than 0.01; 2. Phase margin is approximately 40
II Lag/lead Compensator Design A certain plant with unity feedback has the model given by GP(s) s(1 +0.1s) (1 0.2s) Design a phase-lag OR phase-lead compensator such that:...
Problem 3: (30 Consider a block diagram which represents the satellite control system with a controller Ge(s) (a) Assuming no initial conditions, find the output response y(t) when the impulse input is applied to the system, where Gc(s) is a proportional gain K. (10) (b) Design a lead-compensator Ge(s) for which the complex pole of the closed-loop system has 0.5 of damping ratio () and 2 rad/s of undamped natural frequency (on) (The zero of a lead-compensator is given as...