>Mike: fuzzy logic doesn't "know" anything; it would be more useful to >the debate to limit that sort of personification. I think I implied that in the second half of the paragraph. >For that matter, the closed form math doesn't "know" where the poles >& zeros are, either, no matter what algorithm you choose to >express it. Your right, the engineer who analyzed the plant response knows where the poles and zeros are, and his closed form algorithm provides the gain and phase compensation. >And, most importantly, physical processes don't have poles & zeros, >anyway. The poles & zeros are a feature of your mathematical model of >the process. I don't know where you studied control theory, but If you are using a linear time-invariant system to control a physical process, It had better have a response in the frequency domain. >There is no reason that I know of to believe that there >are no other valid models of physical processes, or to >believe that other models might not be as good. I didn't say there were no other valid models. I said if you have a model which in closed form, you know what compensation will provide stability for all time. Regards, Mike