Find the final value of the system corresponding to Y(s) = 3(s + 2) s(s2 +...
Problem 1c (7 points): Find the final value of the system corresponding to Y(s) = 3(3+2) s(s2 + 25 + 10)
3. Work the following problems: a. The transfer function of a system is: Y(s)/R(s) = 15(s+1)/(s2+9s+14). Determine y(t) when r(t) is a unit step input. b. Consider the following system: R(s)_ 0 G(s) i. Find the closed-loop transfer function Y(s)R(S) when G(s) = 10/(S2+2s+10) ii. Determine Y(s) when the input R(s) is a unit step. iii. Compute y(t).
G(s) Y(s) s+2 1. (25 points) A system has G(S) = 21ac11: (a) Find the two points that define each real-axis segment of the root locus. (b) Find the maximum value of the gain K for the closed-loop to be stable. If there are root loci that cross the imaginary axis, also find the corresponding frequency of the closed-loop roots that lie on the imaginary axis. (c) Find the angle of departure from the complex poles. (d) Find the location...
E 2005-W19 HW-8 Due: Thur 4/11/19 3 Problem 2 Initial and final value theorems a) Find the initial value of the following function using the Initial Value Theorem Fs)-+2 25 (s2 +25 a) Find the final value of the following function using the Final Value Theorem s +24 s(s+3)(s+16)
Find a minimal representation for the system G (s) s2 = [ s+1 (s+2)(8+3) $2+38+2 1
y where-, + of a system with s1-3/2 and s2-1 is in the product state, Calculate uncoubled basis of 2 y where-, + of a system with s1-3/2 and s2-1 is in the product state, Calculate uncoubled basis of 2
For the following system s+1 R(9) "0_*(*1) R(S) s2 + 64 s2 (32 +81) YM Y(S) S +11 (a) Plot the locus of closed-loop roots with respect to K. (b) Is there a value of K that will cause all complex pairs of closed-loop poles to have a damping ratio greater than 0.5? (c) Find the smallest value of K that yield at least one complex pair of closed-loop poles with the damping ratio 5 = 0.707. (d) Use Matlab...
Y (s) R(s) 6460 (s 3) (s2 + 6s 64) G(s) Plot unit step response y(0) for on -10.6,E-0.707 Does the closed loop system T(s) G(S) behave like a pure 1 +G(s) second order system of the form H (s) = s2 +2ξω.s + Y (s) R(s) 6460 (s 3) (s2 + 6s 64) G(s) Plot unit step response y(0) for on -10.6,E-0.707 Does the closed loop system T(s) G(S) behave like a pure 1 +G(s) second order system of...
(S3)(s4) The response of the system is given by Y(s) s(s+2)(2s 1) Find the initial value of the system output.
Problem 2: (40 pts) Part A: (20pts) A third-order system has an of Y(s)-L[y(t) corresponding to a unit step input u(t) is known to be input of u(t) and an output of y(t). The forced response portion 1 Ys) (3 +3s2+ 4s +5) = a) Determine the input-output differential equation for the system b) From your result in a), determine the transformed free response Yee (s) corresponding to initial conditions of: y(0)= y(0) = 0 and ý(0)-6 Part B (20pts)...