How to model the dynamics equation of fast subsystem using Simulink?

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Abdul Rahman Samewoi
编辑： Abdul Rahman Samewoi 2017-12-20
Hello.
I have a two-time scales dynamics model consisting of slow and fast subsystems that have been identified by using singularly perturbation method.
Under slow subsystem, the dynamics equation is simply modeled by directly applying the blocks (such as integrator and derivative blocks) in the Simulink library as this dynamics equation is with respect to time,t.
However, under fast subsystem, the dynamics equation with respect to new time scale which known as fast time scale, v is introduced.
For example, the dynamics equation of fast subsystem as follows:
w_doublehat(v) + A*w(v)=F(f),
where w_doublehat is second derivative of w with respect to fast time scale,v; A is operator and F(f) is force which is known.
Define v=(t-tnot)/epsilon,
where t is time; tnot is initial time; and epsilon is perturbed parameter.
My question is how can I model the dynamics equation of fast subsystem with respect to v by using Simulink?

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