Controller Design via Pole Placement (20pts) \text { Given the state space model } \dot{\mathbf{x}}=\left[\begin{array}{ccc} 0.0 & 1.0 & 0.0 \\ 0.0 & 0.0 & 1.0 \\ -23.0 & -5.0

& -1.0 \end{array}\right] \mathbf{x}+\left[\begin{array}{c} 0.0 \\ 1.0 \\ 0.0 \end{array}\right] u y=\left[\begin{array}{lll} 1 & 0 & 0 \end{array}\right] \mathbf{x} Design a controller via pole placement, to achieve the following performance specifications - Ts = 2s - Š = 0.866 - Zero steady-state error Hint: Design the full-state feedback controller first for the transient response, then add the integral controller.