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in the previous example we were able to put our system into state space form sort of by blind mathematical manipulation by a simple change of variables it turns out that there are better ways to choose our set of state variables ie better ways to put our system into state space form specifically if we blindly do this change of variables we may end up with a situation where we are using more state variables that are necessary were using a larger set of equations than then we need to if these set of equations are not linearly independent then it can make it difficult or impossible for us to solve the equations and to design our controller based on this model and so it turns out that theres a sort of more intuitive way to choose our set of state variables that will guarantee that we use the minimum number of state variables in order to understand this approach we need to recall the difference between a static model and a dynamic model so consider our system we understand it in terms of
