Feedback Control Systems

  • #1
297
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Homework Statement



http://img24.imageshack.us/img24/9028/72841137.jpg [Broken]

Homework Equations



Routh-Hurwitz Stability Criterion

The Attempt at a Solution



For first question, you just write the Routh Array, make sure that the first row is all positive and you get Kmax = 1. Simple enough

How would I approach the second question though? Any starters would be sincerely appreciated.
 
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  • #2
l46kok said:

Homework Statement



http://img24.imageshack.us/img24/9028/72841137.jpg [Broken]

Homework Equations



Routh-Hurwitz Stability Criterion

The Attempt at a Solution



For first question, you just write the Routh Array, make sure that the first row is all positive and you get Kmax = 1. Simple enough

How would I approach the second question though? Any starters would be sincerely appreciated.

You got the value K = 1 by making the line [tex]s^1[/tex] equal to zero. Now, you form an auxiliary equation with the coefficients of the [tex]s^2[/tex] line. The roots of the auxiliary equation are also roots of the characteristic equation. Solve it and you get two imaginary roots, whose module is the oscillation frequency when K = 1.
 
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