A control system is represented in the state space form by the following equations in the attached file.
a) Solve for the state vector using the convolution integral
b) Find the output, y(t)
Please see the attached file for the complete solution.
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A control system is represented in the state space form by the following equations:
a) Solve for the state-transition matrix
b) Solve for the state vector using the convolution integral
c) Find the output y(t)
a) For a simple linear differential equation with constant coefficients of form
, a = constant (1)
and with initial condition
the solution is given by
This formula can be written in another form, using the convolution integral:
Control Systems, State-Space Form and Convolution Integrals are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.