midterm_sol

# midterm_sol - ME-6403 Midterm Exam Name (PRINT) 1George W....

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Unformatted text preview: ME-6403 Midterm Exam Name (PRINT) 1George W. Woodruff School of Mechanical Engineering Spring 2010 Midterm Exam ME-6403 Digital Control Systems March 4th, 4:35pm – 5:55pm Problem 1 Find the output y(k) of the following system for the unit-step input where the sampling time is T. TsesT21T)(1)(ttu)(*tySoluton )(13)(11311121)(11)()(121)()/1(21)(**21**21*21112111111kkkzzzzzzYzzUzUzzzUsZzzYUseYUseYsTsTProblem 2 (a) Find the pulse transfer functionfrom U(z) to Y(z) (Z-transformation of u(k) and y(k)) for the following discrete-time state-space representation. Assume zero initial condition.)()(]11[)()(5.1)()(215.)1()1(212121kxkxkykukxkxkxkx(b) Determine the first 5 values ofy(k)(i.e., k=0,1,2,3) for )(,1)(,2)(,1)(21kkuxx. (Note: The initial condition is NOT zero for this problem (b)) ME-6403 Midterm Exam Name (PRINT) 2Solution (a)...
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## This note was uploaded on 05/10/2010 for the course ME 6403 taught by Professor Staff during the Spring '08 term at Georgia Institute of Technology.

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midterm_sol - ME-6403 Midterm Exam Name (PRINT) 1George W....

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