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For the simple example of a mass
driven by external force
along the
axis:
- There is only one energy-storage element (the mass), and it
stores energy in the form of kinetic energy
- Therefore, we should choose the state variable to be velocity
(or momentum
)
- Newton's
readily gives the state-space formulation:
or
- This is a first-order system (no vector needed)
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Download StateSpace.pdf
Download StateSpace_2up.pdf
Download StateSpace_4up.pdf