1. Consider a linear system as follows: 0 x+ ---- -3 -5 y = [1 0]x X = a. Design a controller u=-Kx to yield a 10% overshoot and a settling time of 0.5 second, i.e., s+16s+183.1-0. (5%) b. Evaluate the steady-state errors for a unit step input, a ramp input and a parabolic input. (10%) c. Repeat the design of (a) by designing a proportional integral controller, and evaluate the steady-state errors for a unit step input, a ramp input and a parabolic input. (10%)