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2.4 Model Linearization

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A component behaves in a linear manner if input x1 produces output y1, input x2 produces output y2, and input x1 + x2 produces output y1 + y2. The following are examples of linear relationships:




The following are examples of nonlinear relationships:





In reality, most production system components have nonlinear behavior, but often the extent of this nonlinearity is insignificant and can be ignored, with care, when a model is formulated. On the other hand, behavior that is significantly nonlinear often can be modeled in a simpler but sufficiently accurate manner using approximate linear models obtained using approaches such as those described in the following subsections.5

Control Theory Applications for Dynamic Production Systems

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