Details for State Space Representation, Case 2

Consider the system given by


so that

Now consider the definition of a new set of state variables:

In terms of the original state variables



We now restate the original state representation and plug this definition of q, and solve

This gives us our new state space representation


Details of the solution (with MatLab) are here (html, .m).

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Erik Cheever       Department of Engineering         Swarthmore College