Q5) Consider the following closed-loop control system Error к G(s) Let G(s) = -, a >...
Answer the following questions: К R(s) C(s) к, ST1 Find the closed loop transfer function from R(s) to C(s) for the system of the diagram above. Draw the root locus for the system in the diagram above as a function of K Draw the unit step response for the system in the diagram above marking the settling time, peak time and maximum output. Find all the possibilities: overdamped, critically damped, underdamped. Find an expression to the steady state error to...
I am posting this with the solution of the closed-loop poles.
Please, I am looking for a clear steps of the simplification to
find (1+(k(3s+1)(s+1))/(s(3s-1)(s+2)). Thanks
Sketch the trace of the closed-loop poles of the following system with respect to K > 0. Moreover, find the range of K >0 that makes the closed-loop system unstable. s+ K S+1 Solution. The characteristic equation for the transfer function is s(s-3) s(3s2 + 4s + 1) + s(s-3)-K(3s + 1)(s + 1)...
For the closed-loop system shown, and given: C(s) 8.41 s+8.10 G(8 2 0.02 3.00 2out G(s) C(s) control plant Part A-Plant 1% settling time Find the 1% settling time of the plant G(s) to a unit step input. 15.38 t,3% - Submit X ncorrect; Try Again - Part B Plant: Overshoot Find the overshoot of the plant G(s)to a unit step input. Give your answer as a percentage Mp: | Value Units Submit Request Answer Part C - Closed-loop system:...
Problem 2 Wis) R(s) U(s) Gol (s) D a (s) E(s) H(s) Given a system as in the diagram above, use MATLAB to solve the problems: Assume we want the closed-loop system rise time to be t, 0.18 sec S + Z H(s) 1 Gpl)s(s+)et s(s 1) s + p a) Assume W(s)-0. Draw the root locus of the system assuming compensator consists only of the adjustable gain parameter K, i.e. Dct (s) Determine the approximate range of values of...
Please solve part b and c and d !!
Consider the closed loop system shown in Figure 4. The root locus of that system is shown in Figure 5 (s+40s+8) R(s) Y(s) Figure 4 System block diagram of Problem 4 a) On the root locus plot, sketch the region of possible roots of the dominant closed-loop poles such that the system response to a unit step has the following time domain specifications. [5] i. Damping ratio, 20.76 ii. Natural frequency,....
1 In the system C(s) G(s) let Glo) ts Find the range of K for closed-loop stability. let G(s)
Determine: 1. The transfer function C(s)/R(s). Also find the
closed-loop poles of the system. 2. The values of the undamped
natural frequency ωN and damping ratio ξ of the closed-loop poles.
3. The expressions of the rise time, the peak time, the maximum
overshoot, and the 2% settling time due to a unit-step reference
signal.
For the open-loop process with negative feedback R(S) Gp(S) C(s) H(s) 103 Go(s) = 1 , Gp(s)- s(s + 4) Determine: 1. The transfer function...
For the given closed loop system, where:
C(s)= 9.43 s+ 9.56
G(s)= 87.84 / ( s2+ 2.94
s+ 9.00 )
Part A: Obtain the rise time of the step response of the plant
transfer function G(s).
Part B: Obtain the overshoot of the step response of the plant
transfer function G(s).
Part C: Obtain the 1% settling time of the step response of the
plant transfer function G(s).
Part D: Obtain the natural frequency ωn of the
characteristic polynomial of...
Consider the closed-loop system shown in following. Determine the range of K for stability. Assume that K>0. (Hint: using Routh’s Method) R(s) C(s) S-2 K (s + 1)(52 +65 + 25)
Problem 1. Consider the following mass, spring, and damper system. Let the force F be the input and the position x be the output. M-1 kg b- 10 N s/m k 20 N/nm F = 1 N when t>=0 PART UNIT FEEDBACK CONTROL SYSTEM 5) Construct a unit feedback control for the mass-spring-damper system 6) Draw the block diagram of the unit feedback control system 7) Find the Transfer Function of the closed-loop (CL) system 8) Find and plot the...