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ME 330 Control Systems FA 2010 Lecture 4
Recall from last lecture ,[object Object],[object Object],[object Object],[object Object]
Case 1: Real Roots ,[object Object],[object Object],[object Object],0 0 0
Case 2: Real Repeated Roots ,[object Object],[object Object],[object Object],[object Object],0 0 0 0
Case 3: Complex Roots ,[object Object],[object Object],[object Object],[object Object],2 nd  order 2 nd  order Combine like terms
Case 3: Complex Roots ,[object Object]
Example ,[object Object],f(t) note: recognize:
Matlab ,[object Object],num = [b 0   b 1   …  b n ]  den = [1  a 1   …  a n ] ,[object Object],[object Object],[object Object],[r,p,k] = residue(num,den) r,p,k are vectors whose coefficients define the partial fraction expansion
Example Case 3 ,[object Object],Multiply both sides by the greatest common denominator
Example Case 3 ,[object Object],Completing the square and factoring the numerator
Next Lecture ,[object Object]

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Me330 lecture4

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