y(n) w(n) 2 L1 -1 L2 し4 tions for the network sho figure relating x(n), w(n), and y(n). b. Find H() by transforming th...
please solve problems 1 and
problems 2.
PROBLEM 1: Derive state-space equations for the following circuit in the form of L1 where χ = :L2 L3 L1 and (a) y 7 V L3 R1 L1 L3 R3 Vt R2 Vc し2 (c) For Part (a), use the file CircuitStateSpace.slx (define the four matrices in Matlab) to verify your derivation using the following numerical values: R1-1; R3-1 R2-10; L1-1e-3 L3-1e-3 L2-10e-2 ; C1-10e-6 PROBLEM 2: (a) What are eigenvalues of the...
at a zero.) 4.11 Consider the network in figure 4.14 to be a 2-input, 2-output filter with input vector x(n) and output vector s(n) a. Write state equations for the network. b. Find the state matrices A, B, C, D (all 2 x 2) c. Find the matrix system function (z) relating the vector z transforms X(z) and S(z), which is given by the general- ization of (4.4.13), i.e., H(z) D + C(zI - A) B. +oking s(n) (n) Z...
The mutually coupled inductances in (Figure 1) have L1-1H. L2 2 H, and M-1H. Furthermore h(t) sin(10t) A and 22 (t) = 0.5 sin( 10t) A. Part A Find an expression for vi(t). The arguments of the sine functions are in radians Express your answer in terms of t vec ひ Figure 1 of 1 Submit uest Ans Part B ii(t) /2(0) Find an expression for v2 (t). The arguments of the sine functions are in radians Express your answer...
Given lines L1 : Ty (1-1)+(21) -2 1 and L2: y 4 8+t2 3 (a) Find the point of intersection of lines Lị and L2. (b) Determine the cosine of the angle between lines L, and L2 at the point of intersection. © Find an equation in form ax +by+cz = d for the plane containing lines L, and Lu. (d) Find the intersection, if any, of the line Ly and the plane P : 3x – 4y + 72...
Or (B) The following is the electrical equivalent model of a fluid system. Find the state equations and the matrices A and B of the model X' AX + BU. Extra Credit for (B): Find the matrices C and D in the output equation Y = CX + DU when the output is just Pout indicated in the figure. f- てw OUT
with h1(n)=(2)nu(n),h2(n) istheimpulseresponseof y(n)+3y(n−1)=w(n), and x(n)=(4)nu(n). (a) Determine h 2 ( n ) and the overall impulse response h ( n ) (b) Determine w(n) (c) Determine y(n) (d) Determine the difference equation of the overall system
(1) (a) Find the equation of the line, Li, which passes through the points A : (4,y,z) = (0, -5, -3) and B : (x, y, z)=(3, 1,0). (b) Find the equation of the line, Ly, which passes through the points C:(x, y, z)=(-1, -3,2) and D: (x,y,z) = (4,3,6). (c) Show that L and Ly are not parallel lines. (d) Write the parametric equations for L, and L2, and then show that the lines Li and L2 do not...
please help with part B of question
b) A planar manipulator has link lengths L1 2m and L2-1 m.Use the inverse kinematic equations to find the joint angles which will place the end point at the following positions (x ,y=1+ i) Write the forward kinematic equations for the end point. [2 marks] ii) Calculate the link L2 joint angle iii) Calculate the link L1 joint angle [5 marks] [5 marks] [Q1 Total: 20 Marks] Question 2 a) Explain the principle...
1. Given the impulse response, h[n duration 50 samples. (-0.9)"u[n, find the step response for a step input of h-(0.9)-10:491 -ones (1,50) s- conv(u,h) 2. Plot h and u using stem function for 50 samples only stem(10:491, s(1:50) 1. Given a system described by the following difference equation: yIn] 1143yn 1 0.4128y[n -2 0.0675x[n0.1349xn 0.675x[n-2] Determine the output y in response to zero input and the initial conditionsy-11 and yl-2] 2 for 50 samples using the following commands: a -,-1.143,...
Consider h(n)=[0.5^n * cos((pi*n)/2)]*u(n) a. find transfer function H[Omega] b. If x(n)= cos((pi*n)/2), find system output y[n] using H(Omega) from part a