How does one programatically stop simulation based on actual time elapsed?

I have a simulink file 'mysim.slx' that I would like to simulate multiple times. Each time, I am passing a different set of parameters specifying the physical properties of a system (properties like mass/damping/stiffness/etc). However, some combinations of parameters may produce an unstable system (partially due to some nonlinearities in the system) and I do not necessarily know if a certain set of parameters will produce this behavior. Because each simulation is computationally heavy and a problematic set of parameters causes the simulation to run more slowly, I would like to be able to abort the current simulation if the actual time exceeds some value (say, 60s). I am NOT talking about the simulation time - I understand that the simulation will naturally complete once it reaches that threshold. I want to be able to cut the simulation short if it is taking too long. The reason I would like to do it programatically is because I would like to be able to compare results between simulations without having to Ctrl-C every time the simulation stalls.

In addition, I do not want to simply kill all processes - because I want to run multiple versions of the simulation in succession (by calling the slx file with sim('mysim.slx') in an m-file), I would like to be able to simply cut the current simulation short and then move on with the program.

Currently, I am calling the simulation in my m-file and timing it like this:

% 'param' is some value that is used in the simulation
for param = 1:n
  tic
  sim('mysim.slx')
  toc
  % Then take the data, plot it, do some stuff
end

Is there a way to do this?