State Space Models 2 - 2nd Order ODEs
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Description
Extends the concept of taking first principles models for systems and converting them into state space form. Uses some 2nd and 3rd order examples (mass-spring-damper, RLC circuit, dc servo and pendulum) to demonstrate the process of constructing a state-space equivalent. Introduces the concept that state space descriptions for a given system are not unique as they depend on the selection and ordering of states.
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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