Consider the system with dynamics given as

\(\dot x = \left[ {\begin{array}{*{20}{c}} 0&1\\ { - 6}&{ - 5} \end{array}} \right]x + \left[ {\begin{array}{*{20}{c}} 0\\ 1 \end{array}} \right]u\)

y = [1 0] x

For the system feedback controller u = kx (k = [k₁  k₂]) is designed such that the closed loop poles have a damping co-efficient ξ = 0.707 and peak time is t_p = 3.14 for unit step response.

The values of k₁ and k₂ in the state feedback controller are