Y(s) a) Thefolowing sne tandfer funtions X(s) whout finding the sresonie loutputrom unit step input), find y(0) and y(...
Y(s) a) Thefolowing sne tandfer funtions X(s) whout finding the sresonie loutputrom unit step input), find y(0) and y(oo), if exist. Indicate the reasons b) Invert the transfer functions, show steps s +a
When a unit step is applied to a system at t= 0, its response is y(t) = [7 +0.8e-3t-e-2t|3cos(46) + 4.5 sin(44)] (1). Is the transfer function of the given system H(s) = 7 + 1.60s 2(3+3) 2s(s+2) 52 + 4s + 20 9s S2 + 4s + 16 ? Yes No
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).
x>0,y>0.
Problem 6 Consider the following joint pdf for the random variable X and Y where denotes a unit step function. (a) Find the constant C. (b) Find the marginal PDF's of X and Y. (c) Find the conditional PDF's fx(xY-y) and s, (ylX-x) (d) Find the conditional expected values, EX 1 Y = y} and EX X =
Problem 6 Consider the following joint pdf for the random variable X and Y where denotes a unit step function. (a)...
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)...
Problem 1 Given the transfer function from input u(t) to output y(t), s2-4s +3 Y(s) U(s) (s2 + 6s + 8)(82 + 25) (a) Develop a state space model for this transfer function, in the standard form y=Cx + Du (b) Suppose that zero input is applied, such that u 0. Perform a modal analysis of the state response for this open-loop system. Your analysis should include the nature of the time response for each mode, as well as how...
1) Given the system with u[n]- the discrete unit step input xiln 1] xiIn] r2ln] 0 find: (note this is very easy since A is diagonal) a) DTS Resolvent Matrix and State transition matrix b) Transfer function Y(z)/U(z) = T(z) c) Total response if the input u[n] is a discrete unit step and IC [1;1]
5- For the following system: x( Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F, C2-1F. Identify the natural and forced response of the system a) Find the zero input response. b) Unit impulse response. c) zero state response. d) The total response. e Identify the natural and forced response of the system.
5- For the following system: x(
Input: x(t)s u(t) Output: y() With the initial condition y(0) 1, y(O)-0, RI-1, R2-12, CI-2F,...
The transfer function of the system is G(s) = 100/(s+1)(s+100) For a unit step input to the system the approximate settling time for 2% criterion is a. 100 sec b. 4 sec c. 1 sec d. 0.01 sec Please show your work on how you got the answer
Consider the following circuits connected in series. The input is the voltage x(t), the output to system Si is the voltage y(t), and the output of system S2 is the voltage y(t). The differential equation relating the input X(t) to the output yı(t) was found in Homework #3. S2 x(1) y(t) | X(t) 6+ R yce) .66) (1) + y(t) Let L = 0.01, C1 = 0.01, R = 100, C2 = 0.002, and R2 = 50. a) Find the...