Obtain the transfer function for the linearised system (i.e. equations Eq. (6) and Eq. (7)). Note...

  

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Obtain the transfer function for the linearised system (i.e. equations Eq. (6) and Eq. (7)). Note that the input of the system is f(t) and the output is x₂(t). (5 marks) What is the order of the system? Justify your answer. (2 marks) Apply Laplace transform on the linearised system in equations Eq. (6)-Eq.(7). Assume zero initial conditions, i.e. x₁ (0) = 0, x₁ (0) = 0, x₂ (0) = 0,*₂ (0) = 0. d²x₁ (t) dx, (t) dt² dt + dx₂ (t) dt +2(1 + 2x₁ (t)) -- d²x₂ (t), dx₂(t) dx₁(t) + dt² dt dt = 0 = f(t) Eq.(6) Eq.(7) Obtain the transfer function for the linearised system (i.e. equations Eq. (6) and Eq. (7)). Note that the input of the system is f(t) and the output is x₂(t). (5 marks) What is the order of the system? Justify your answer. (2 marks) Apply Laplace transform on the linearised system in equations Eq. (6)-Eq.(7). Assume zero initial conditions, i.e. x₁ (0) = 0, x₁ (0) = 0, x₂ (0) = 0,*₂ (0) = 0. d²x₁ (t) dx, (t) dt² dt + dx₂ (t) dt +2(1 + 2x₁ (t)) -- d²x₂ (t), dx₂(t) dx₁(t) + dt² dt dt = 0 = f(t) Eq.(6) Eq.(7)

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SOLUTION To obtain the transfer function for the linearised system we need to solve the differential equation in the Laplace domain ... View the full answer