Hi,
From the structure of ibuprofen there is no obvious reason to think that it should be unstable in trichloroacetic acid.
http://en.wikipedia.org/wiki/Ibuprofen
However, it won't be difficult to test it out. I would do the following:
First, make a standard solution of this compound, say 0.1 mg/mL;
Then, load two auto-sampler vials (1.5 mL) with equal volume (say, 0.95 mL) of above standard solution;
Then, add 0.05 mL of trichloroacetic acid to one vials, and add 0.05 mL of D.I. water to the other vial as the reference;
Finally, inject samples in both vials periodically using the same chromatographic conditions to monitor any change.
Did you have trouble with linearity result? If not, I would look into the sample preparation step. Can you provide more information on the sample prep. procedure, chromatographic conditions, and specifics of the "trouble"?