State Space Models 6 - Transfer function to state space
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Description
This resource shows how one can form a state space model from a transfer function. The process is analogous to that used for ODEs but with the extra subtlety of allowing more complex numerators than a constant. The resource gives the controllable canonical form only as this can be constructed by inspection from the transfer function parameters.
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Published 05/11/16
Goes through in real time the solution of questions on creation of state space models from ODEs and transfer functions. Also conversions back to transfer function from a state space model and use of a similarity transform.
Published 05/11/16
Introduces state space models for systems described by difference equations. Conversions from z-transform transfer function to state space and vice versa. Uses analogies with continuous time conversions.
Published 05/11/16