Question: Problem 1: (30 pts) Consider a single-input single-output system with the following transfer function: G(s)=4s+2K When a unit step change is applied to the input

Problem 1: (30 pts) Consider a single-input single-output system with the

Problem 1: (30 pts) Consider a single-input single-output system with the following transfer function: G(s)=4s+2K When a unit step change is applied to the input (x), the steady-state value of the output reaches to 3. a) Find the value of K ? b) Determine the time profile for the output, i.e., y(t)= ? c) Show that the time required to reach half of the steady-state value is ln(4)

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