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Larrytsai

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- Thread starter Larrytsai
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In summary, the routh array does not provide the exact locations of poles, but rather indicates whether there are poles on the left or right hand side of the s-plane, or on the imaginary axis.

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Larrytsai

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RoshanBBQ

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Larrytsai said:

I don't think it tells you whether you have poles in the right hand plane or in the the left hand plane. It tells you whether all poles are in the left hand plane or at least one pole is in the right hand plane or on the imaginary axis.

The Routh Hurwitz Criterion is a mathematical tool used in control systems to determine the stability of a system and to place the poles of the system in a desired location. It helps in analyzing the behavior of a system and designing appropriate control strategies.

The Routh Hurwitz Criterion helps in ensuring the stability of a control system, which is crucial for its proper functioning. It also allows engineers to design control systems with desired performance specifications by placing the poles of the system in a specific location.

The Routh Hurwitz Criterion involves creating a Routh array, which is a table of coefficients derived from the characteristic equation of the control system. The number of sign changes in the first column of the Routh array determines the number of poles of the system in the right half of the complex plane. If there are no sign changes, the system is stable.

The Routh Hurwitz Criterion can only determine the number of unstable poles in a system, but it cannot provide information about their specific location. It also cannot be applied to systems with time delays or systems with repeated poles.

In practice, the Routh Hurwitz Criterion is used in conjunction with other control system design techniques to ensure stability and meet performance specifications. It is also commonly used in the analysis and design of feedback control systems in industries such as aerospace, automotive, and robotics.

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