Matlab Homework #4: Matlab Linear Systems Simulation 1.) Obtain the differential equation for the...
write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations. Implementation: MatLab is an ideal environment for solving differential equations. Differential equations are a vital tool used by engineers to model, study and make predictions about the behavior of complex systems. It not only allows you to solve complex equations and systems of equations it also allows you to easily present the solutions in graphical form....
a can be skipped Consider the following second-order ODE representing a spring-mass-damper system for zero initial conditions (forced response): 2x + 2x + x=u, x(0) = 0, *(0) = 0 where u is the Unit Step Function (of magnitude 1). a. Use MATLAB to obtain an analytical solution x(t) for the differential equation, using the Laplace Transforms approach (do not use DSOLVE). Obtain the analytical expression for x(t). Also obtain a plot of .x(t) (for a simulation of 14 seconds)...
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...
Consider the following second-order ODE representing a spring-mass-damper system for zero initial conditions (forced response): where u is the Unit Step Function (of magnitude 1 a. Use MATLAB to obtain an analytical solution x() for the differential equation, using the Laplace Transforms approach (do not use DSOLVE). Obtain the analytical expression for ao. Also obtain a plot of x() (for a simulation of 14 seconds) b. Obtain the Transfer Function representation for the system. c. Use MATLAB to obtain the...
answer in matlab code Employ the bvp4c command to find the approximate solution of the boundary value problem governed by the second-order nonhomogeneous differential equation, 9. with the boundary conditions of y(0) 5 and y(1)-2. Plot to compare the approximate solution with the exact solution obtained by using the dsolve command. Employ the bvp4c command to find the approximate solution of the boundary value problem governed by the second-order nonhomogeneous differential equation, 9. with the boundary conditions of y(0) 5...
can you show how the model would look like on matlab ? please help with this question For the circuit given below, find the normal form for the inductor current and capacitor voltage. Use Matlab (Create an.m file. Use Isim function) and Simulink (Create a Simulink Model). Plot the responses x1 and x2 over time from the M file and Simulink Model. Do they match? Please explain. Use f(t)-e-cos(2t)u(t) for the input. Assume Zero Initial Conditions. 2Ω I H On...
Let a linear system with input x(t) and output y(t) be described by the differential equation . (a) Compute the simplest math function form of the impulse response h(t) for this system. HINT: Remember that with zero initial conditions, the following Laplace transform pairs hold: Let the time-domain function p(t) be given by p(t) = g(3 − 0.5 t). (a) Compute the simplest piecewise math form for p(t). (b) Plot p(t) over the range 0 ≤ t ≤ 10 ....
Consider the linear system given by the following differential equation y(4) + 3y(3) + 2y + 3y + 2y = ů – u where u = r(t) is the input and y is the output. Do not use MATLAB! a) Find the transfer function of the system (assume zero initial conditions)? b) Is this system stable? Show your work to justify your claim. Note: y(4) is the fourth derivative of y. Hint: Use the Routh-Hurwitz stability criterion! c) Write the...
i need help writing the matlab code for this! 2. The fourth order differential equation 2.(4) + 3.0" – sin(t)..' + 8x = {2 can be rewritten as the following system of first order equations Ti = 12 = 13 24 = -8.01 + sin(t). 2- 3.03 + t (a) Write an m-file function for the system of differential equations. (1) Solve the system of equations over the interval ( € (0,25) for the initial conditions 21(0) = 1, 12(0)...
can you show how the model would look like on matlab ? please help with this question For the circuit given below, find the normal form for the inductor current and capacitor voltage. Use Matlab (Create an.m file. Use Isim function) and Simulink (Create a Simulink Model). Plot the responses x1 and x2 over time from the M file and Simulink Model. Do they match? Please explain. Use f(t)-e-cos(2t)u(t) for the input. Assume Zero Initial Conditions. 2Ω I H On...