I want a clear line solution Question 1: For the system shown in the above figure,...
A unity feedback system is shown in Fig. 1. The closed-loop transfer function ?(?) of this system is given as ?(?)=?1?4+2?3+(?2+1)?2+?2?+?1. a) (20%) Using Routh-Hurwitz criteria, find expression (in terms of ?1 and ?2) and range of value of ?1 and ?2 such that the above system is stable. b) (4%) It is desired to achieve steady-state error of less than 0.3 with a unit ramp input. Find an additional constrain in terms of ?1 and ?2 such that the...
Consider the system shown in Figure 1. Using the Routh-Hurwitz Criterion, determine the range of K for which the system is stable. R(s) Figure 1
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...
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...
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...
For the system shown here in tasks 1-4 I have determined that for the value of K<3 the system is unstable, for K=3 the system is in oscillation and K>3 the system is stable. However i am unsure how to calculate the value of K to achieve a steady state error of 0.01% for T ≥ 10. Many Thanks for the assistance Consider the system shown in figure 1 below. r(s) S+2 32-35 y(s) Controller Plant Figure 1: Simple proportional...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
Question 2 Consider the system shown in Figure Q2, where Wis a unit step disturbance and R is a unit step input. 0.4 s+ 1 10 Figure Q2 (5 marks) (3 marks) (c) Find the value for K so that the steady state error due to w(t) is less than 0.01; 6 marks) (d) In order to eliminate the steady state error, show whether a PI controller can be successful 6 marks) (a) Find the expression of E(s)-R(s)-Y(s) in terms...
1 - Consider the system shown in the figure below, #1 25 Ks a) Determine the value of k that yields a damping ratio ? of 0.6 b) Based on the numerical value found for k in part (a) of the problem, determine (10 points) the open-loop gain and the system's type. Determine the steady-state errors for the system when it is subjected to (6 points) c) 1. a step reference input, r()-A 2. a ramp reference input, r()-t (6...
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...