MATLAB ML
9. Use MATLAB to find the poles of [Section: 4.2]
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Chapter 4 Solutions
CONTROL SYSTEMS ENGINEERING
- For the mechanical translation system below, find the transfer function 0,/T and O2/T. Use the following values. K = 1+c D1 = 1 Jj = 4+a J2 = 3+b D2 = 5 where a = 3rd digit of your student number %3D = 7 = 5 b = 5th digit of your student number c = 7th digit of your student number For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems. T(t) 0(t) 02(1), elel J2 D1 K D2 ON II ||||arrow_forwardGiven the trasnfer function G(s) numerator and denominator coefficients for Matlab code should be: O s³+2s+1 2s4+2s²+1' the num= [1 0 2 1] and den=[2 020 1] O num=[1 2 1] and den=[2 0 2 1 1] O num=[1 2 1] and den=[2 2 1] O num=[1 0 2 1] and den=[2 2 0 1]arrow_forwardAs4. This is my third time asking this question. Please DO NOT copy and paste someone else's work or some random notes. I need an answer to this question. There is a mass attached to a spring which is fixed against a wall. The spring is compressed and then released. Friction and is neglected. The velocity and displacement of the mass need to be modeled with an equation or set of equations so that various masses and spring constants can be input into Matlab and their motion can be observed. Motion after being released is only important, the spring being compressed is not important. This could be solved with dynamics, Matlab, there are multiple approaches.arrow_forward
- Consider the following Initial Value Problem (IVP) dy /at = -t * sin (y); y(t = 0) =1 Solve for y(t=0.5) using a) Forward Euler method with At = 0.25. (Solve by hand) Develop a Matlab script that solves for y (t = 5) using Forward Euler method. Use the time step levels given below and plot t vs y in the same plot. Include the plot with the right format (axis labels, legends, ...) in your solution sheet and include your Matlab script in the solution as well. i) At = 0.25 ii) At = 0.125 b) Backward Euler method with At = 0.25 (Solve by hand)arrow_forwardPleasearrow_forwardFor the mechanical translation system below, find the transfer function 01/T and 02/T. Use the following values. K = 3+c D1 = 1 J1 = 2+a J2 = 4+b D2 = 5 %3D where a = 3rd digit of your student number a =O b = 5th digit of your student number b = 7 c = 7th digit of your student number c = 5 For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems. For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems. T(t) 0,(1) 02(1), D1 K D2arrow_forward
- For the mechanical translation system below, find the transfer function X2/F and X1/F. Use the following values. K =1 fv = 1 M, = 4+a K2= 1/2 fv2 = 3+b M2 = 5 K3 = 1+c fv3 = 3/2 where a = 3rd digit of your student number %3D b = 5th digit of your student number %3D c = 7th digit of your student number For reference, the 1st digit of your student number is the leftmost number in your student number. Indicate your student number when solving problems.arrow_forward4G I. 3:22 A moodle1.du.edu.om Consider the 3 degree of freedom robot manipulator as shown in the figure Link 3 Länk 2 Trint 1 The objective is to find the kinematics inverse of the robot Px=0.9 m, Py=0.6, L1=1.5m, L2=1.5m and qz= 2 rad The value of cos(q2) is equal to Choose... + The positive value of sin(q2) is equal to Choose... + The value of q2 in rad is Choose... + The value of qı in rad is Choose... + The value of q3 in rad is Choose... +arrow_forward****USE MATLAB TO SOLVE THIS QUESTION**** 5. A composite cantilever beam, made of High Strength (HS) carbon/epoxy material with [04/304], plies, has uniformly applied load qo. When qo=50N/m, length of the beam, L=0.1m, and width of the beam, b-0.05m. Find the maximum deflection of the beam. (for the HS carbon fiber/epoxy, E₁1 =131 GPa, E₂2= 11.2 GPa, V12 = 0.28, G12 = 6.55 GPa and ply thickness t=0.2mm) 90-50N/m Larrow_forward
- I am trying to find a Direction Cosine Matrix (DCM) for the Euler angle body 1-2-3 sequence. I tried making my own function and using the MATLAB function, but the result is a matrix that is transpose of each other. I mean that transpose(EA123toDCM) = E123toDCM. Why is that? Also, for the E123toDCM line, I am using the sequence 'ZYX'. Is that correct or should it be 'XYZ'? I know that that for a DCM of sequence 1-2-3 = R3(theta1)*R2(theta2)*R1(theta3). Is ZYX sequence the same as a 1-2-3 sequence? EA = [pi/3; -pi/4; -pi/6];EA123toDCM = EA123DCM(EA) E123toDCM = angle2dcm(EA(1,1), EA(2,1), EA(3,1), 'ZYX') function [R] = EA123DCM(EA) theta1 = EA(1,1); theta2 = EA(2,1); theta3 = EA(3,1); R1 = @(a)[1 0 0 ; 0 cos(a) -sin(a); 0 sin(a) cos(a)]; R2 = @(a)[cos(a) 0 sin(a) ; 0 1 0 ; -sin(a) 0 cos(a)]; R3 = @(a)[ cos(a) -sin(a) 0; sin(a) cos(a) 0;…arrow_forwardSuppose that three coordinate frames 0₁X1Y1Z1, 02X2V2Z2 and 03X3Y3Z3 are given, and 0]: P². p³ 1 0 R3 = 0 0.5 LO 0.866 Find p¹ and matrix R₂. E R F4 Q Search %6 5 F5 -0.866; R3 = 0 -1 0.5 T 我道 F6 F7 & 7 99- PrtScn FB Home F9arrow_forwardMy Solutions > Lower Colorado River (Problem 11.12 in Chapra) The Lower Colorado River consists of a series of four reservoirs as shown in Fig. P11.12 in the textbook. Mass balances can be written for each reservoir, and the following set of simultaneous linear algebraic equations results: [ 13.422 0 00; -13.422 12.252 0 0; 0 -12.252 12.377 0; 00-12.377 11.797] * [C_1, c_2, c_3, c_4]' = [750.5, 300, 102, 30] where the right-hand-side vector consists of the loadings of chloride to each of the four lakes. The variables c_1, c_2, c_3, and c_4 are the resulting chloride concentrations for Lakes Powell, Mead, Mohave, and Havasu, respectively. Given this information, complete the following tasks: (a) Use the matrix inverse to solve for the concentrations in each of the four lakes. (b) How much must the loading to Lake Powell be reduced for the chloride concentration of Lake Havasu to be 75? (c) Using the matrix 2-norm (spectral norm), compute the condition number and how many suspect digits…arrow_forward
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