Use MATLAB to generate the MATLAB ML transfer function: [Section: 2.3]
a. the ratio of factors;
b. the ratio of polynomials.
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CONTROL SYSTEMS ENGINEERING
- Required information Use the following transfer functions to find the steady-state response yss() to the given input function f(t). NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. T(-) Y(s) F(s) s(e) 10 b. = 9 sin 2t s²(s+1) ' The steady-state response for the given function is yss() = | sin(2t + 2.0344).arrow_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_forwardMATLAB PROBLEMarrow_forward
- For the following block diagram, determine the transfer function from the input F(s) to the output X (s). F(s) X(s) 4arrow_forwardO 1::09 O [Template] Ho... -> Homework For the system shown in figure below, Find the range of K for stable system. R K(s + 2) C s(s +5)(s² + 2s + 5) IIarrow_forwardFor 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_forward
- A mechanical system is described by the following transfer function -4s H(s) = sª-2s² + s-17 If u is the input, and y the output, Cast this system into the state variable format. (Do not find the solution for the system) Yarrow_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_forwardConvert the Transfer Function into Differential Equation. (s – 1)'s (s2 + 1)2s2 R(s) C(s) Convert the Differential Equation into Transfer Function. d³b 5d²b 4b 2df -8f dt dt3 dt2arrow_forward
- Quiz E Reduce the Block Diagram shown in Figure to a single transfer function, T(s) = C(s)/R(s) G3(s) R(s) C(s) G1ts) G2ts) G4(s) H(s)arrow_forwardIn this problem, you will have to first create a Python function called twobody_dynamics_first_order_EoMS. Given a time t and a state vector X, this function will return the derivatives of the state vector. Mathematically, this means you are computing X using some dynamics equation X = f(t, X). Once you have this function in Python, you can solve the differential equations it contains by using solve_ivp. The command will be similar to, but not necessarily exactly, what is shown below: solve_ivp(simple_pendulum_first_order_EoMS, t_span, initial_conditions, args=constants, rtol 1e-8, atol 1e-8) which integrates the differential equations of motion to give us solutions to the states (i.e., position and velocity of a satellite). In the above, t_span contains the initial time to and final time tƒ and it will compute the solution at every instant of time (you will define this later in Problem 1.3 below). The integration is done with initial state vector Xo which defines the initial position…arrow_forwardA velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): 1. What is the order of this system?arrow_forward
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