2y"(t) + 3 y' (t) + y(t)=x"(t) +x'(t) - x(t), y(0) = -2, y'(0) = 0,...
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)...
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,...
DO THIS ASAP!!!!!!! PART A) OPEN LOOP DYNAMICS OF A SYSTEM IS GIVEN AS) Y"(t)-3y'(t)+2y(t)=x(t) X=input y=input FIND K1 AND K2 TO HAVE S1=-1 , S2=-3 AS POLES OF THE CLOSED LOOP SYSTEM BOX1[ g(s)] ;BOX2[K1S+K2] B) FIND THE OVERSHOOT (MP) OF THE FOLLOWING CLOSED LOOP SYSTEM TO A STEP RESPONSE INPUT C/R= (S+0.1)/(S^2+1.4s+1) pen lop dynami'ts af a ststem isgvin e output Poles t the closed tovp system. Find k n d kz to have S -1 KIS+K2 tosed...
(25pt| 3. Find y(t) if x(0) = 0 2 + 2y + u(t), 2.r + y, y(0) = 2 where it is the unit step function.
+ 2y = 4u, y(0) = 0, for the following input: Solve: dt 0<t<T u(t) t>T Graph the solution (you may use Excel or Matlab) for T= 1sec, 0.1sec, 0.01sec, and 0.001sec. Do you see what is happening to the output? What is happening to the input?!
Please answer all parts or dont answer any of them. Analyzing Models step(sys,t) impulse(sys,t) Isim(sys,u,t) Time response for step input Time response for impulse input Time response for arbitrary input the system G6)55+6 EX Plot the responses o (a) step input, (b) impulse input; (c) sin(2/) ANS Poles and Zeros p-pole(sys) z-zero(sys) EX Find the poles and zcros for the following system Computes the poles p of the LTI model sys (p is a column vector). Returns the zeros of...
Given a zero-state LTI system whose impulse response h(t) = u(t) u(t-2), if the input of the system is r(t), find the system equation which relates the input to the output y(t) 4. (20 points) If a causal signal's s-domain representation is given as X (s) = (s+ 2)(s2 +2s + 5) (a) find all the poles and zero of the function. 2 1 52243 orr
Problem 1: Given the transfer function from input u(t) to output y(t), Y (s) U(s) = s 2 − 4s + 3 (s 2 + 6s + 8)(s 2 + 25) (a) Develop a state space model for this transfer function, in the standard form x˙ = Ax + Bu 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...
An LT-I system with the following differential equation y’(t) + 3 y(t) = x(t) has a Zero State Response of yzsr(t) = -2 exp(-5t) u(t) + 2 exp(-3t) u(t) when an input signal: x(t) = 4 exp(-5t) u(t) is applied to the system. What is the Zero State Response of the following system beginning at time t = 0 seconds, y’(t) + 3 y(t) = x’(t) -2 x(t) if the same input signal is applied to the system, and it...
3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the zero-input response yo(t). Simplify your answer 3. An LTIC system is specified by the equation (D2 9)y(t) (3D 2)x(t) Assume y(0)3,y(0) 6 d) What is the characteristic equation of this system? e) What are the characteristic roots of this system? f Determine the...