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I think you have it 90% figured out already. If I remember correctly, you do have to treat the switches as if they were "arrows" with the yellow/orange end being the point. While there are many combinations, I think that only four actually trace valid "paths" -- the criteria of a valid path being:
(a) Start at the "start" which I think you indicated correctly as the upper left.
(b) Each "arrow" points to the next in the sequence.
(c) The last arrow points in one of the four compass directions "out" of the grid.
Also, you can get a huge hint (a map, really) to the operation of the grid by pushing the correct button in the control center where you meet Tantris the samurai just before reaching the grid. The button (the one that doesn't shock you -- I think it too is the top left)makes a panel across the room suddenly pop open to reveal a crudely drawn diagram of the correct sequence of switches to get to Marten's Bluff. Either that or just follow the logic above and try to exit via the bottom (south) of the grid.
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