I need help with these control system questions. Consider a 3rd-order system des

Question

I need help with these control system questions.

Consider a 3rd-order system described by the following state-space equation Simulate the response of the system using the function method with ODE45 for a step input u(t)= 2 and t=0;0.001:8. Plot the step responses x1(t), x2(t) and x3(t) in one subplot Hint: Use subplot(311), subplot(312), subplot(313) to plot 3 plot in the one figure. Consider a 2nd-order nonlinear system described by where k1 = 4 and k2 = -10. Simulate the response of the nonlinear system using the function method with ODE45. Plot the responses x1(t) and x2(t) in one subplot for t=0:0.001:6. Hint: use subplot(211) and subplot(212) to plot 2 plot in one figure.

Explanation / Answer

if you want to solve a system of differential equations in a matrix form. For example, solve the system Y? = AY + B, where A, B, and Yrepresent the following matrices:

Solve the system using dsolve:

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