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For each system shown in Fig. 3, find the following: 3. The system type a. The...
Given the system shown below find the closed loop transfer function, then find the system type Selectj steady-state error for an input of 5ut)Select] steady-state error for an input of5tt[Select 1 closed-loop stablity Select ] R(s) [Select ] 1 C(s) s2 (s+1) s2 (s +3)
1. Steady-State Error question Nise (7.13) For the system in Fig P7.4 find Kp, K,, Kg and state the system type 3) FIGURE P7.4 2. Nise (9.3) For a unity feedback system with 10% OS: KG(s) 1 +KG(s) NOTE: the 10% overshoot line is 126.16" with a (-59. a. Find the K value of the system at 10% OS if this corresponds to a point on the root locus of s-1.87+j2.56 NOTE: use the fact that 1 + KG(s)- 0...
For the system shown below state the system type, and find the steady state error for an input of 50u(), 50rl(t), 5012U(t) 2. C(s) (s3) (Hint: Close the inner-loop first to get the standard unity feedback system with loop transfer function G(s)+3 +7s +15
For the system shown below state the system type, and find the steady state error for an input of 50u(), 50rl(t), 5012U(t) 2. C(s) (s3) (Hint: Close the inner-loop first to get the standard unity feedback...
2. (disturbances & sensitivity) For the control system shown in the figure below, do the following: i. Simplify the block diagram to form a negative unity feedback system ii. Determine the system type. ii. Find the steady-state error for r(t) 2tu(t) and d(t) 0 iv. Find the steady-state error for r(t) 0 and d(t) -0.2ut) v. Find the total error to both the input and the disturbance vi. Find the sensitivity of the total steady-state error to changes in Ki...
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...
1- Consider the block diagram of a control system shown in Fig. 1 Rts) E ts) C(s) Gt-11027 20s Fig. 1 a) Find the open-loop transfer function of the system. b) Determine the system type and open-loop gain in terms of K and K, c) Find the steady-state errors of the system in terms of K and K,when the following reference inputs are applied: a. Unit ramp reference input: ) b. Parabolic reference input: r()
1- Consider the block diagram...
For the system shown in Fig. 1, solve the following problems. (a) Find the transfer function, G(s)X2 (s)/F(s) (b) Does the system oscillate with a unit step input (f (t))? Explain the reason (c) Decide if the system(x2 (t)) is stable with a unit step input (f (t))? Explain the reason 1. 320) 8 kg 2 N/m 4N-s/m 2N-s/m Fig. 1 2. There are two suspensions for a car as shown in Fig. 2 (a) Find the equations of each...
13. For the system shown in Figure P7.4, [Section: 7.3 a. Find Kp, K, and Ka b. Find the steady-state error for an input of 50u(t) 50tu(t), and 50t²u(t). c. State the system type. R(S) 5 C(s) s(s + 1)(8 + 2) (s +4) FIGURE P7.4
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...
Problem #2 Given the system below: C(s) R(s) s2 (s1) s2 (s +3) (a) Determine the system type. (b) Calculate the steady-state error for an input of 5u(t). [0] (c) Calculate the steady-state error for an input of 5tu(t). [15] (d) Discuss the validity of your answers to part (b) and (c). HINT: Is the system stable?