Consider the electro-mechanical feedback control system shown in Figure 3. The voltage Ea(s) - Liea(t)) is...
1. Consider a unity feedback control system with the transfer function G(s) = 1/[s(s+ 2)] in the forward path. (a) Design a proportional controller that yields a stable system with percent overshoot less that 5% for the step input (b) Find settling time and peak time of the closed-loop system designed in part (a); (c) Design a PD compensator that reduces the settling time computed in (b) by a factor of 4 while keeping the percent overshoot less that 5%...
steps R(s) E(s) C(s) G(s) FIGURE P9.1 FIGURE P9.2 9. Consider the unity feedback system shown in Figure P9.1 with [Section: 9.3] K G(s) (s+4)3 a. Find the location of the dominant poles to yield a 1.6 second settling time and an overshoot of 25%. b. If a compensator with a zero at -1 is used to achieve the conditions of Part a, what must the angular contribution of the compensator pole be? c. Find the location of the compensator...
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)...
Problem 4. Consider the control system shown below with plant G(s) that has time con- stants T1 = 2, T2 = 10, and gain k = 0.1. 4 673 +1679+1) (1.) Sketch the pole-zero plot for G(s). Is one of the poles more dominant? Using MATLAB, simulate the step response of the plant itself, along with G1(s) and G2(s) as defined by Gl(s) = and G2(s) = sti + 1 ST2+1 (2.) Design a proportional gain C(s) = K so...
Problem 3. (15 points) Consider the feedback system in Figure 3, where G(s)1 (s -1)3 Ge(s) G(s) Figure 3: Problem 3 1. Let the compensator be given by a pure gain, ie, Ge(s)-K, K 0 (a) Draw the root locus of the compensated system (b) Is it possible to stabilize the systems by selecting K appropriately? If so, find the range for K such that the closed-loop system is BIBO stable. If not, explain. 2. This time, let the compensator...
K and consider a PI s+4 A unity feedback system has an open loop transfer function G(s) [4] S+a controller Ge(s) S Select the values of K and a to achieve a) (i) Peak overshoot of about 20% (ii) Settling time (2% bases) ~ 1 sec b) For the values of K and a found in part (a), calculate the unit ramp input steady state error K and consider a PI s+4 A unity feedback system has an open loop...
1. A feedback control system is shown in the figure below. Suppose that our design objective is to find a controller Gc(S) of minimal complexity such that our closed-loop system can track a unit step input with a steady-state error of zero. (b) Now consider a more complex controller Gc(S) = [ Ko + K//s] where Ko = 2 and Ki = 20. (This is a proportional + integral (PI) controller). Plot the unit step response, and determine the steady-state...
i am needing help with a b c o chris question thanks 1000 O(s) Gc(s) s(s2 110s 1250) Figure 2: Disc Drive System Block Diagram We will now try to design a compensator with the requirements that Overshoot 10% ii. Ts S 100ms II. eramp(oo) s 0.001 Do the following (you may use MATLAB at your leisure, but be sure to explain your logic for your design choices) a) Use MATLAB to draw the root locus when Gc K. Augment...
Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, specify the gain and pole location of the compensator so that the overall closed-loop response to a unit- step input has an overshoot of no more than 30%, and a 2% settling time of no more than 0.2 sec. Verify your design using Matlab. 3.27 Compensator Plant 100 R(s) sta Y(s) For the unity feedback system shown in Fig. 3.55, specify the gain and pole...
Recall the disc drive problem from Tutorials, where we demonstrated that the system can be written as e(s)+ 1000 Ge(s) s(s2 110s 1250) Figure 2: Disc Drive System Block Diagram We will now try to design a compensator with the requirements that i. Overshoot 1096 ii. Ts S 100ms ii. eramp() s 0.001 Do the following (you may use MATLAB at your leisure, but be sure to explain your logic for your design choices) a) Use MATLAB to draw the...