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mym786
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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.
mym786 said: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.
The Routh Stability Method is a mathematical technique used to analyze the stability of a control system. It is based on the location of the roots of a characteristic equation, which can determine whether a system is stable, marginally stable, or unstable.
The Routh Stability Method involves constructing a table using the coefficients of the characteristic equation. The table is then used to determine the number of roots in the right half-plane, which indicates instability, and the number of roots on the imaginary axis, which indicates marginal stability. A system is considered stable if all of the roots are in the left half-plane.
The Routh Stability Method is a quick and efficient way to determine the stability of a control system. It does not require the actual roots of the characteristic equation to be calculated, which can be time-consuming for complex systems. It also provides a clear visual representation of the stability of a system through the use of the Routh array.
The Routh Stability Method is limited to systems with polynomial transfer functions. It also cannot determine the stability of systems with repeated roots or roots on the imaginary axis. In addition, the method can only determine the number of roots in the right half-plane, but not their exact values.
The Routh Stability Method is often used in control system design to ensure the stability of a system. It is also used in the analysis of complex systems to identify potential stability issues. In addition, the Routh Stability Method is commonly used in the aerospace and automotive industries to design stable control systems for vehicles and aircraft.