State Space Models 5 - Transfer function from state space
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Description
It is useful to understand the relationship between state space models and transfer function models. This resource shows how one can form an equivalent transfer function model from a state space model. Several numerical examples are given but it is emphasised that the process is numerically intensive and thus in general should be performed on a computer and not by hand. Tools like MATLAB are demonstrated. It is also noted that the system poles correspond to the eigenvalues of the A matrix.
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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
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...
Published 05/11/16