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Warmup Open Loop System Closed Loop System The A matrix of an open-loop system is of full rank with eigenvalues ๐ 1 and ๐ 2 . The system is placed into closed-loop feedback such that the new closed-loop A matrix has ๐ด ๐ถ๐ฟ = ๐ 1 โ ๐พ 1 ๐พ ๐ 2 . Set up the characteristic equation for the eigenvalues ๐ ๐ถ๐ฟ of ๐ด ๐ถ๐ฟ in terms of ๐ 1 , ๐ 2 , ๐พ 1 , ๐พ 2 . (Do not solve the equation.) If ๐ 1 = ๐ 2 =1, find ๐พ 1 and ๐พ 2 to place both ๐ ๐ถ๐ฟ at 0.25. (Recall: Set the actual and desired characteristic equations equalโฆ)
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