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How to tell ode15s to change its max time step for a specific short time range?

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I have a dynamic system coded in Matlab and solved using ode15s, and it works fine except it is slow because of the system size. I must give the solver a small step size (say 1e-4) for a very short time (0.05 s - 0.1 s) when there is a chnge in the system network. The rest of simulation time (20 s) can be simulated with a step size 1e-1 and it gives a satisfactory result. Is there is any possibility to tell the solver to change its step size (max. step size) during this short time?

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Torsten il 12 Giu 2019
Integrate from 0 to 0.05, restart the solver and solve from 0.05-0.1, restart the solver and solve from 0.1 - 20. Every time you restart the solver, you can change the maximum step size.
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Torsten il 12 Giu 2019
The initial values of run "n" are the results for the last output time of run "(n-1)".

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