Consider the system G ( s ) Y ( s ) U ( s ) 1 ( s 1 ) ( s 2 ) ( s 3 ) G ( s ) Y ( s ) U ( s ) 1 ( s 1 ) ( s 2 ) ( s 3 ) a Design a state feedback controller, so that the closed loop response has an overshoot of less than 5 5 and a rise time under 0 5 s 0 5 s Set one of the closed loop poles at 10 b $ $ Verify the result in Part (a) by using the MATLAB command place

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Question: Consider the system G ( s ) = Y ( s ) U ( s ) = 1 ( s + 1 ) ( s

Consider the system

$G (s) = \frac{Y (s)}{U (s)} = \frac{1}{(s + 1) (s + 2) (s + 3)}$

a. Design a state-feedback controller, so that the closed-loop response has an overshoot of less than $5 %$ and a rise time under $0.5 s$ . Set one of the closed-loop poles at -10 .

b. $$$ Verify the result in Part (a) by using the MATLAB command place.

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