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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 (...
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...
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)...
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...
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...
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...
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 :...
(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...
Find the magnitude of H(e^jtheta) and the difference equation corresponding to it: a) y(n)-3y(n-1)=x(n) b) y(n)=1/3{x(n+1)+x(n)+x(n-1)...
Find the magnitude of H(e^jtheta) and the difference equation corresponding to it: a) y(n)-3y(n-1)=x(n) b) y(n)=1/3{x(n+1)+x(n)+x(n-1) c) y(n)=4x(n)+7x(n-1)+3x(n-2)+5y(n-1)+2y(n-2) d) (only difference eq) H(e^jtheta)= (1+.5e^theta)/(1-.5e^-jtheta)
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 fol...
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...
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,...
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
(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,...
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