Mathematical model of a system is y" + 4y' + 3y = 2r(). Write system transfer...
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
what is the transfer function of the system (circuit)? i need the mathematical model i supose is current ;not sure Y(s) or G(s) y(t) Vic? Il current utt) -5 Lowelle 82 VR 2= R2 IL Transfer Function ?
Determine the general solution by solving the ODE system 2r+y = 4y
Write the matrix corresponding to the following system of linear equations. - 8x + 4y = 2 4x - 3y = 6 What is the corresponding matrix? (Do not simplify.) Tes Change the third equation by adding to it (-3) times the first equation. Give the abbreviation of the indicated operation. (x + 4y + 5z = 4 5x - 3y - 2z = 1 3x + 3y + 2z = 1 The transformed system is x + 5x -...
Digital Signal Processing Homework #4 1. Find the solution of the differential equation: y+4y+3y = x+2x for x(t)-e'u(t) and initial conditions y(0) 0, (0) 1 What is the transfer function of a LTI system that is describable by the equation above? 2. Find the transfer functions of the LTI systems A and B in the configuration shown below when you are given that v v-z and y-x
A robot force control system with unity feedback has a loop transfer function [6 7.11 Tood transfer function (6l K(s +2.5) (s2 + 2s 2) (s2 + 4s + 5) (a) Find the gain K that results in dominant roots with a damping ratio of 0.707. Sketch the root locus. (b) Find the actual percent overshoot and peak time for the gain K of part (a) A robot force control system with unity feedback has a loop transfer function [6...
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).
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...
Question 13 13. If y(t) satisfies DE:y" - 3y' = 4 with IC:y(0) = 0, y'(0) = 1, then Y(s) = L(y(t)) is (s+4): (52-3s) (s+4): (52-3s + 1) (5+2): (52-3s) (s+2) : (2-3s +1)
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...