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For the system shown below the gain, G, of block A is variable and can be set as low as 100 and as high as 500. The only problem with block A is that its gain fluctuates with high percentage 30%. For example if you set the gain to 100 then at sometimes the gain will fluctuate between 130 and 70. So if the input is 2 then the output could be as low as 140 and as high as 260. Your task is to connect a feedback to block A and set the gain G to a value such that the output will be 100 time the input with fluctuation that does not exceed 1%. For example if the input is 3 then the output should be between 297 and 301 (99*3 and 101*3). In your solution to this problem show the mathematical expression that relate Y to X in terms of G and the feedback block H. Also show the values of G, H, and the connection of the feedback block H to G.
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