1. Consider a linear system as follows: 0 x+ ---- -3 -5 y = [1 0]x...

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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., s²+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%) 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., s²+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%)

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1a Given the system xdot Ax Bu y Cx Where A 0 1 3 5 B 0 1 C 1 0 We want to design a contr... View the full answer