# hw4 - for r(t = 500 u s(t G(s R(s C(s − H(s G(s R(s C(s...

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ME 475 Homework #4 Spring 2011 PROBLEM 1 : Given : where Find : (a) Use Routh-Hurwitz to determine how many roots of the characteristic equation are in the left half plane, in the right half plane, and on the imaginary axis. Explain your answer. (b) Use MATLAB to find the closed loop root locations and confirm your results from part (a). PROBLEM 2 Given : where and H(s) = (s+2) Find : (a) e ss for r(t) = 50 u s (t) and 50 t u s (t). (Don’t find unity feedback system.) (b) equivalent unity feedback system (c) system type (d) K p and use it to find e ss

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Unformatted text preview: for r(t) = 500 u s (t). G(s) R(s) C(s) + − H(s) G(s) R(s) C(s) + − 2 PROBLEM 3 : FPE, Prob. 4.27, p. 216. (6 th edition) GIVEN : Figure: Control system for Problem 4.27 FIND : (a) Determine the transfer function from (b) Determine the transfer function from (c) Use Routh’s criteria to find the range of for which the system is stable. (d) What is the system type and error constant with respect to reference tracking? (e) What is the system type and error constant with respect to disturbance rejection?...
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hw4 - for r(t = 500 u s(t G(s R(s C(s − H(s G(s R(s C(s...

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