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1. Consider the system described by the differential equation: d3y(t)/dt3 + 4d2y(t)/dt2 + 6dy(t)/dt + 8y(t) = 20u(t)
(i) Find the transfer function of the system.
(ii) Derive a state space representation for the system
2. A single input, single output system has the matrix equations:
x.(t)= [0 1 -3 -4] x(t) +[0 1]u(t) and y(t) = [3 0]x(t)
Determine the transfer function G(s) = Y(s)/U(s)

Sagot :

tutorconsortium112

20 is the system's transfer function. A differential equation is a mathematical formula that includes one or more terms

What is a differential equation's formula?

  • A differential equation is a mathematical formula that includes one or more terms as well as the derivatives of one variable (the dependant variable) with respect to another variable (i.e., independent variable) dy/dx = f (x) In this case, "x" is an independent variable and "y" is a dependent variable. For instance, dy/dx = 5x.
  • The Laplace transform of the input variable divided by the Laplace transform of the output variable, with initial conditions of zero, is the definition of transfer functions.

Explanation:

4 +2 + 6 + 8 = 20.

To learn more about Differential equation refer to:

https://brainly.com/question/1164377

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