State Space Models 3 - From a generic ODE - Listen - State Space

State Space Models 3 - From a generic ODE

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Description

In some cases a system model is supplied solely as an ODE rather than separate 1st principles equations. This resource shows how an equivalent state space model can be derived from an ODE. It is assumed that the results are given in canonical forms but again emphasis is made on the state space matrices not being unique as they depend on the selection and ordering of states.

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State Space Models

Published 05/11/16

State Space Models 11 - Tutorial

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

State Space Models 6 - Transfer function to state space

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