Flashcards
Ch 6: Stability
Cards in this deck (10)
- 1What part of the output response is responsible for determining the stability of a linear system?Natural response
- 2Are the eigenvalues of the system matrix are the same as the closed-loop poles?Yes
- 3Why are marginally stable systems considered unstable under the BIBO definition of stability?Sinusoidal inputs of the same frequency as the natural response yield unbounded responses even though the sinusoidal input is bounded.
- 4Where do system poles have to be to ensure the system is not unstable?Poles must be in the left-half-plane or on the j w axis, but not multiple.
- 5What does the Routh-Hurwitz criterion tell us?The number of poles of the closed-loop transfer function that are in the left-half-plane, the right-half plane, and on the j w axis.
- 6Under what conditions would the Routh-Hurwitz criterion easily tell us the the actual location of the system's closed-loop poles?If there is an even polynomial of second order and the original polynomial is of fourth order, the original polynomial can be easily factored.
- 7What causes a zero to show up only in the first column in the Routh table?Just the way the arithmetic works out
- 8A Routh table has two sign changes above the even polynomial and five changes below the even polynomial. How many RHP poles does the system have?7
- 9Does the presence of an entire row of zeros always mean that the system has jw poles?No; it could have quadrantal poles.
- 10How do you find the eigenvalues of the system matrix?Det (s I-A) = 0
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- Undergraduate Controls Flashcards on Ch 6: Stability, created by David Smith on 11/11/2015.
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