FE_s97

# FE_s97 - EE 429 FINAL EXAM 9 May 1997 Name: ID#: DO NOT...

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Problem 1: (25 points) A SISO system with input u ( k ) and output y ( k ) is described by the diﬀerence equation y ( k +2)+( 1 2 + α ) y ( k +1)+ α 2 y ( k )= u ( k βu ( k ) , where α and β are real constants. 1. (4 points) State the characteristic equation for the system. 2. (7 points) Using the Jury stability test, determine the values of α and/or β so that the roots of the characteristic equation are within the unit circle. 3. (7 points) Verify your answer in part (ii) using the Routh Hurwitz method. Does your result depend on the sample period T ?
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## This note was uploaded on 07/23/2008 for the course EE 482 taught by Professor Schiano during the Spring '08 term at Penn State.

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FE_s97 - EE 429 FINAL EXAM 9 May 1997 Name: ID#: DO NOT...

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