Using the approach in Section 4.4, find the controllable canonical form for the plant transfer function and then design a full-state feedback controller that places the closed-loop poles at the same locations as in the example.

Data From Section 4.4:

So far in this chapter, we have learned to derive the state-space form, I/O equation(s), and transfer function(s) directly from the system’s mathematical model. In this section, we present two standard procedures to obtain (1) the state-space form from the I/O equation and (2) the transfer matrix from the state-space form.