- #1

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## Homework Statement

For a control system that has G(s)H(s) = [itex]\frac{1}{s^{2}*(s+\alpha)}[/itex]

## Homework Equations

1 + G(s)H(s) = 0

## The Attempt at a Solution

Exam question i messed up . I really need to know the answer.

- Thread starter mym786
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- #1

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For a control system that has G(s)H(s) = [itex]\frac{1}{s^{2}*(s+\alpha)}[/itex]

1 + G(s)H(s) = 0

Exam question i messed up . I really need to know the answer.

- #2

- 656

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i + G(s)H(s) = 0 means:## Homework Statement

For a control system that has G(s)H(s) = [itex]\frac{1}{s^{2}*(s+\alpha)}[/itex]

## Homework Equations

1 + G(s)H(s) = 0

## The Attempt at a Solution

Exam question i messed up . I really need to know the answer.

[tex]s^3+\alpha s^2 + 1 = 0[/tex]

Since the polynomial is incomplete (there is no term in [tex]s^1[/tex]) there is at least one root in the RHP and the system is unstable. No need to use Routh algorithm.

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