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ME 431, Lecture 10 1 System Stability Routh - Hurwitz Criterion 1.Generate a Routh table. 2.Interpret the Routh table. Number of poles in the RHP = Number of sign changes in the first column Re Im Unstable Region Stable Region Marginally Stable Region Special case: The first element is 0 1.Replace the zero with ε. 2.Proceed as usual.

System Stability

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Im. Re. Unstable Region. Stable Region. Marginally Stable Region. Routh - Hurwitz Criterion Generate a Routh table. Interpret the Routh table. Number of poles in the RHP = Number of sign changes in the first column. System Stability. Special case: The first element is 0 - PowerPoint PPT Presentation

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Page 1: System Stability

ME 431, Lecture 10

1

System Stability

Routh - Hurwitz Criterion

1. Generate a Routh table.

2. Interpret the Routh table.

Number of poles in the RHP

= Number of sign changes in the first column

Re

Im

Unstable RegionStable Region

Marginally Stable Region

Special case: The first element is 0

1. Replace the zero with ε.

2. Proceed as usual.