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

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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)...
View Full Document

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.

Page1 / 5

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online