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4. Given the following open-loop plant, [Section: 12.2] 20 G(s) design a controller to yield a 15% overshoot and a settling time of 0.75 second. Place the third pole 10 times as far from the imaginar...
Need help with this problem asap, will rate it. Thank you. Given the following open loop plant: 48 G(s) s +2) (s+4)(s +6) (a) Design a state feedback controller to yield a 20% overshoot and a settling time of 1 second (2%). Place the third pole 10 times farther from the imaginary axis than the dominant pole pair (b) Determine the pre-filter constant N needed to reduce the steady-state error to a unit step input for the closed-loop system. (c)...
Design an observer for the plant operating with 10% overshoot and 0.5 seconds settling time. 50 G(S) = (s +3)(s +) (s +9) Design the observer to respond 10 times as fast as the plant. Place the observer third pole 20 times as far from the imaginary axis as the observer dominant poles. Assume the plant is represented in observer canonical form.
a. Design a state feedback controller with integral control to yield a 10% overshoot and a settling time of 0.5 sec. (tip: place the third pole to have the same real part as the two dominant, complex poles.) b. Assume that the system is initially relaxed at t=0. With the controller design in (c), what is the steady-state response y(t) excited by the unit step reference signal r(t)=1, for .
Assignment 3: Frequency Domain Controller Design using Bode-plots 2 Augment the open loop plant G(s) = RS), with sim- ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of we 3 [rad/sec] (b) a phase margin better than 45. (c) a steady state error when tracking a step input < 5%. in H(s) G(sRecall that Bode plots are applied to the loop gain. out
Assignment 3: Frequency Domain Controller Design using Bode-plots 10 2 Augment the open loop plant G() +27 with sim ple feedback an a dynamic compensator to meet the following specifications: (a) a cross over frequency of w 3 [rad/sec). (b) a phase margin better than 45o (c) a steady state error when tracking a step input < 5%. in H(s) G(s) Recall that Bode plots are applied to the loop gain. out
urgent! II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s +1) G, (s) s(10s +D(0.1258 +D(0.05s +1)(0.02s +1) Design a phase lag-lead compensator that satisfies the following specifications must by the compensated system 1. The steady-state error for a unit ramp input must be 0.002; 2. The compensated phase margin must be approximately 48; must be approximately 25 rad/sec. II Lead-Lag Controller Design A plant has the open-loop transfer function with unity feedback: 20(s...