(Solved): 6. For the following closed-loop systems, find the steady-state error for unit step and unit ramp ...

6. For the following closed-loop systems, find the steady-state error for unit step and unit ramp inputs. Use the final value theorem, hand calculations and MATLAB (20 points) \[ \dot{\mathbf{x}}=\left[\begin{array}{rrr} -5 & -4 & -2 \\ -3 & -10 & 0 \\ -1 & 1 & -5 \end{array}\right] \mathbf{x}+\left[\begin{array}{l} 1 \\ 1 \\ 0 \end{array}\right] r ; y=\left[\begin{array}{lll} -1 & 2 & 1 \end{array}\right] \mathbf{x} \]