Question: A nonlinear dynamic system is described by a. Use the Simulink model to plot x 2 ( t ) x 2 ( t ) .

A nonlinear dynamic system is described by

|x = x2 xx-1 |x = x-x2-1 x(0)=0 0

a. Use the Simulink model to plot $x_{2} (t)$ .

b. Derive the linearized model analytically, build its Simulink model where the linear model is represented by the State-Space block, and use it to plot the time variations of the variable that is compatible with $x_{2} (t)$ . Compare the plots generated in (a) and (b) and comment.

|x = x2 xx-1 |x = x-x2-1 x(0)=0 0

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