Question: dy Question One A second order dynamic system is described by the following differential equation. day 2 dt2 + 11- + 10y = 2x(t); y'(0)

 dy Question One A second order dynamic system is described by

dy Question One A second order dynamic system is described by the following differential equation. day 2 dt2 + 11- + 10y = 2x(t); y'(0) = 0; y(0) = 0 dt Determine: a) The open loop transfer function for the system. (4 marks) b) The closed loop transfer function for a unit negative feedback (4 marks) c) If the system is disturbed with a step change of 4 units, i.e., x(t) = 4, where t is the time in minutes, determine the closed loop response after 2 minutes (12 marks)

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