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Lecture 10: Transfer Functions and State Equations

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Schedule :: Perspective :: Transfer Functions :: Laplace Transform :: Poles and Eigenvalues :: Time Domain :: Linear Transformations :: Special Transformation :: Controllability :: Discrete-Time

Given a transfer function, we may want to write a state variable equation for it. This is very straightforward by writing a system realization for the transfer function. From the system realization, we let the state variables be the outputs of the integrators .
\begin{example}
\begin{displaymath}H(s) = \frac{2s+10}{s^3+8s^2+19s+12}
\end{di...
...splaymath}\end{description}Characteristic polynomial? Eigenvalues?
\end{example}
Note: There are other ways of writing down the state equations from the transfer function. In fact, there are an infinite number of ways!
Copyright 2008, by the Contributing Authors. Cite/attribute Resource . admin. (2006, June 08). Lecture 10: Transfer Functions and State Equations. Retrieved January 07, 2011, from Free Online Course Materials — USU OpenCourseWare Web site: http://ocw.usu.edu/Electrical_and_Computer_Engineering/Signals_and_Systems/10_2node2.html. This work is licensed under a Creative Commons License Creative Commons License