Sorry for my possible misinterpretation of your question...Here are my thoughts:
1. SPC has nothing to do with target values or spec. limits. It was invented by Shewhart to understand consistency/stability of the within subgroup sources of variation and then, if appropriate, compare those sources to the between subgroup sources of variation to determine where to investigate.
“The engineer who is successful in dividing his data initially into rational subgroups based on rational theories is therefore inherently better off in the long run. . .” Shewhart, Economic Control of Quality of Manufactured Product
2. SPC is NOT a monitoring tool! It is used to answer specific questions about the process. This does not mean you can't plot the data in a time series, but that is not SPC. I believe you should understand the consistency and stability of actual yields (and if it were me I would want to understand what affects yield and how to reduce the variation in yields). To do this requires first a set of hypotheses regarding what factors affect the yield and then directed sampling to separate and assign the causal factors (or perhaps DOE to speed the investigation up). You should also seek to understand the variation in planned yields (is this just a negotiation or are there factors driving these changes?)
I recommend reading Don Wheeler's book: Understanding Statistical Process Control
"All models are wrong, some are useful" G.E.P. Box