Question: State equations for a closed-loop TC control system are given below. Design the gain matrix for placing the poles at (a) l10.2, l20.25 and (b)

State equations for a closed-loop TC control system are given below. Design the gain matrix for placing the poles at

(a) l1¼0.2, l2¼0.25 and

(b) l1¼0.6, l2¼0.65. Assume TC target in percent. Carrier mass¼800 g. The state equation is

x(k+1)=Ax(k) + Bu(k) + Er(k+1) (9.77a)

And the output equation is

image text in transcribed

The actuator with output linear feedback is given by

image text in transcribed

where

image text in transcribed

x(k+1)=Ax(k) + Bu(k) + Er(k+1) (9.77a)

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