20% 5. A dynamic system is modeled as [2 o][B(t).11 ol.[A(Ol+[30 70].ly,(이_A(1) Calculate the tr...
please help 5. A dynamic system is modeled as (ult) u2t) to the output (vi(t) (u) un 0 80 Calculate the transfer function matrix connecting the input (uit y2(t), all initial conditions equal to O 5. A dynamic system is modeled as (ult) u2t) to the output (vi(t) (u) un 0 80 Calculate the transfer function matrix connecting the input (uit y2(t), all initial conditions equal to O
slove in Matlab AP2. A system is modeled by the following differential equation in which X(t) is the output and (() is the input: *+ 2x(t) + 5x(t) = 3u(t), x(0) = 0, X(t) = 2 a. Create a state-space representation of the system. b. Plot the following on the same figure for 0 st s 10 sec : i. the initial condition response (use the initial function) il the unit step response (use the step function) iii. the total...
NOTE 2: Initial conditions assumed to be 0 unless otherwise is stated 1) Consider the system depicted below Input: v, Output: vo Assume that c (0)2, v2 (0)0 a) b) c) d) Derive the mathematical model of the system using mesh current method Find unit impulse response Find unit step response Find the transfer function T(s)Vo (s)/V(s) 2) Consider the system depicted below 2,20.5 Input: v, Output: i Assume that i,(0) 1, vc(00 a) Derive the mathematical model of the...
need to solve number 20 - HI-POLYMER ERASER Pentue 2 Name: 20. An LTIC system is given by the ABCD matrices A = (1 -] B = {. q} c = {11} D = bb a The input and initial conditions are x(t) = {41}} q(0) = {1} a) Find the ZIR for the system. b) Find the ZSR for the system. 21. Draw the amplitude Bode plot for the transfer function 22. Draw the amplitude Bode plot for the...
... Metro by T-Mobile 11:02 PM X MECH_371_Proble... E .. MECH 371 Spring 2020: Problem Set 3 (/ ) of the systems assuming zero initial conditions 1. Determine the transfer function described by (0)+(1) = 3x(1)+i(1) 2. Consider the system H(S)=7+45+3 (a) Calculate the poles anders of the system (b) Calculate the wep response 3. Determine the transfer function V_ (Assuming zero initial conditions _(s) for the following electrical circuit systems iO +40 4. Consider the system MW f(t) :...
Modelling of mechanical dynamic systems Exercice 1 An disc of an inertia J and radius r is attached to a fixed axis of rotation A as shown below. The disc is in contact with a mass M attached via a spring of stiffness K to a fixed wall. The inertia-mass contact is subject to viscous friction of coefficientſ. The motion of the mass with respect to the horizontal floor is subject to the same viscous friction coefficient f.. The system...
Questions 4-5: An LTIC system can be described by an equation: dy(t) dr 2 + 2x(t) dt? 4. What will be the zero-input response y(i), if the initial conditions are yo (0) = 0, and Y. (O) = 12 A). y.(t) = e" + B). y(t)=en-ex C). y.(t)=e-2 -2% D). y(t) = -2-2 +e-3 The transfer function of the LTIC system can be calcu . If the input signal of the system is x(t) = 8(6), what will as H(m)...
This assignment is for my Engr dynamics systems class. Consider the electromechanical dynamic system shown in Figure 1(a). It consists of a cart of mass m moving without slipping on a linear ground track. The cart is equipped with an armature-controlled DC motor, which is coupled to a rack and pinion mechanism to convert the rotational motion to translation and to create the driving force for the system. Figure 1(b) shows the simplified equivalent electric circuit and the mechanical model...
The state space model of an interconnected three tank water storage system is given by the following equation -3 1 o 1[hi] dt The heights of water in the tanks are, respectively, hi, h2, hz. Each tank has an independent input flow; the volume flow rates of input water into the three tanks are, respectively, qii,qi2, Oi3. Each tank also has a water discharge outlet and the volume flow rates of water coming out of the tanks are, respectively, qo1,...
Problem 4 (Analytical and Computational-20 points) Given a second-order ordinary differential equation: d2f(t) df(t) with the following initial conditions: (O) 1 and ait 0 (Analytical-10 points) Express Equation (1) in state-space form. Cleary write down the A, B, C, and D matrices. Then find the state transition matrix and determine the solution for f(t) if the input function r(t) is a unit step function. a) b) (Computational-10 points) Write a MATLAB-Simulink program to find the computational solution for f(t) in...