(f) Find the transfer function from input to output using the following expression we derived in...

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(f) Find the transfer function from input to output using the following expression we derived in class: Y(s)" C (SI-A)-B] U(s) "C C adj (sI - A) B U(s) (4) SI-A Does the transfer function match that in part (A)? Problem 2 We consider the same system as Problem 1, and we use the state equations you've derived: x Ax+Bu y "Cx In this problem, we are interested in the solution to the non-homogeneous equation, given by: x(t) * (t) x(0) + f*(t (t-T) Bu(T)dT y(t) C (t)x(0) + C (t 7) Bu(T)dT (5) (6) (a) Suppose that u(t)" 1, find x(t) and y(t) using Equation (5) and (6). (b) Suppose that u(t)" 1, find y(t) by solving the scalar different equation (1) (c) Do the two solutions of y(t) match? (f) Find the transfer function from input to output using the following expression we derived in class: Y(s)" C (SI-A)-B] U(s) "C C adj (sI - A) B U(s) (4) SI-A Does the transfer function match that in part (A)? Problem 2 We consider the same system as Problem 1, and we use the state equations you've derived: x Ax+Bu y "Cx In this problem, we are interested in the solution to the non-homogeneous equation, given by: x(t) * (t) x(0) + f*(t (t-T) Bu(T)dT y(t) C (t)x(0) + C (t 7) Bu(T)dT (5) (6) (a) Suppose that u(t)" 1, find x(t) and y(t) using Equation (5) and (6). (b) Suppose that u(t)" 1, find y(t) by solving the scalar different equation (1) (c) Do the two solutions of y(t) match?