# A nonlinear system has an input-output model

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A nonlinear system has an input-output model given by:

1. y'(t) + [1 + 0.2y(t)] y(t) = u(t) + 0.2u(t)3

i) Compute the operating point(s) for uo=2

ii) Obtain a linearized model for each of the operating points above.

2. à¿(t) + y(t) à½(t) + y(t)3 − y(t) = 2àº(t) + u(t)2

iii) Compute the operating point(s) for uo=√6

iv) Obtain a linearized model for the operating points above.

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A nonlinear system has an input-output model computation is provided. Linearized model for each of the operating points are obtained.

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1)

i) Compute the operating point(s) for .

ii) Obtain a linearized model for each of the operating points above.

Solution

Its operating point , when is a constant, is ...

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