Question
5. Consider a feedback control system shown below. Let's say the state space form of the plant's differential equation (from u to y) is x = Ax + Bu , and y = Cx + Du, where x is the plant state vector. And let's say the controller is a proportional controller so that u = k(r - y). If you were to write the closed loop differential equation (from the input r to output y) in the state space form, it will have the form: 2 = Acu2 + Bcur , and y = CCLZ + DcIT, where ž is the closed loop state vector. Write ACL, BCL, CCL, DeL and z in terms of A, B, C, D, x and k. R(s) + E(s) U(s) G(s) Y(s K
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