Consider the closed loop system defined by the following block diagram. a) Compute the transfer function...
blem 5 (2000): The closed-loop system is given below. Controller El(s) ) (5% o) Find the system transfer function and discuss the range of Ko to make the stem stable assuming Kp-5. ) (5 %) Find the percentage of overshoot and steady state error to the unit ramp input as function of your design parameter Kp assuming KD-4. :) (5%) Find the design parameters KD and Kp such that the damping ratio of the closed- pop system is 0.5 and...
yUCni ias the block diagram shown below. Controller Process Sensor (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop syste as a function of the design parameter...
muibliam 5(20%). The closed-loop system is given below. Controller (a) (S%) Find the system transfer function and discuss the range of Ko to make the eystom stuibie assuming K (t)(S%) Find the percentage of overshoot and stendy state error to the unit ramp input as a function of your design parameter Ke assuming K4 ( d) 5%) Find hed sagn parameters Ko and Kr such that the damping ratio of the closed- lonp system is O15 and the steady state...
Problem 3 (25%): The closed-loop system has the block diagram shown below. Controlle Process Sensor s + l (a) (5%) Sketch the root locus of the closed-loop system. (b) (5%) Determine the range of K that the closed-loop system is stable. (c) (5%) Find the percentage of overshoot and the steady state error due to a unit step input of the open loop system process. (d) (5%) Find the steady-state error due to a unit step input of the closed-loop...
A unity feedback system with the forward transfer function G(s)=K/(s+1)(s+3)(s+6) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the steady-state error for a unit step input b) Design a PI control to reduce the steady-state error to zero without affecting its transient response c) Evaluate the steady-state error and overshoot for a unit step input to your compensated system A unity feedback system with the forward transfer function G(s) is operating with...
[7] Sketch the root locus for the unity feedback system whose open loop transfer function is K G(s) Draw the root locus of the system with the gain Kas a variable. s(s+4) (s2+4s+20) Determine asymptotes, centroid, breakaway point, angle of departure, and the gain at which root locus crosses ja-axis. A control system with type-0 process and a PID controller is shown below. Design the [8 parameters of the PID controller so that the following specifications are satisfied. =100 a)...
PROBLEMA: (25%) A closed-loop control system is shown below Ds) T(O) U(A) C(s) (a) Show that a proportional controller (C(s)-kp) will never make the closed-loop system stable. (8%) (Hint: you need to calculate the closed-loop pole locations and make discussion for the two possible cases.) (Medim) (b) When a PD controller is used (C(s)kp+ kps), calculate the steady state tracking error when both R(s) and D(s) are unit steps. (8%) (Easy) (e) Suppose R(s) is a unit step and D(s)...
1. [25%] Consider the closed-loop system shown where it is desired to stabilize the system with feedback where the control law is a form of a PID controller. Design using the Root Locus Method such that the: a. percent overshoot is less than 10% for a unit step b. settling time is less than 4 seconds, c. steady-state absolute error (not percent error) due to a unit ramp input (r=t) is less than 1. d. Note: The actuator u(t) saturates...
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...
A unity feedback system with the forward transfer function G)2)(s +5) is operating with a closed-loop step response that has 15% overshoot. Do the following: a) Evaluate the settling time for a unit step input; b) Design a PD control to yield a 15% overshoot but with a threefold reduction in settling time; c) Evaluate the settling time, overshoot, and steady-state error with the PD control. A unity feedback system with the forward transfer function G)2)(s +5) is operating with...