11.25. Routh Stability Criterion (State-Space Representation)
A single input single output system can be expressed in state variable form as:
11.13.
In such a case, characteristic equation of the system is given by:
11.14.
In MATLAB, the characteristic equation is obtained by using the command:
poly(a);
where
a is matrix A in Eqs. 11.13 and 11.14, and the routh function can be used for this characteristic equation to check the stability of the system.
Example 11.34.
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The dynamics of a system is represented by the vector–matrix differential ... |
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