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Unformatted text preview: H ( s ) = k 1 s 2 + ( k 1 + k 2 ) s + k 1 k 2 where k 1 and k 2 are some system specic real constant parameters. Your tasks are the following: (a) Derive conditions on parameters k 1 and k 2 so that the system is BIBO stable. (b) Evaluate the system impulse response. Make sure you pay careful attention to the possibility k 1 = k 2 . 5. Use the Routh test to determine the range of parameter k values that ensure stability of the following system: H ( s ) = s 2 + 3 s-2 s 3 + s 2 + ( k + 3) s + 3 k-5 6. The transfer function of an LTI causal system is given by H ( s ) = 20 s ( s + 1) 3 + 8 Use the Routh test to demonstrate the existence of two poles for this system that have zero real parts. Further, using the entries of the Routh array, determine (without use of calculator), the two purely imaginary poles of this system....
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This note was uploaded on 09/25/2011 for the course ASE 18510 taught by Professor Jeannefalcon during the Spring '10 term at University of Texas at Austin.
- Spring '10