Considering your target, you're either going to have to build or borrow a couple of parts of a world class laboratory, so I'd say you're on the right track.this research facility is top 5 in the world
My approach, which I've used with success, is to just use an op-amp to amplify the LM35 signal before feeding it to a comparator. If you only need a narrow range of temperature, the op-amp gain can be as large as you like - you don't need to allow for large changes.Wayneh may have a method in mind to improve the accuracy of the LM35, or he may be planning to calibrate the circuit to the particular LM35 in use. Otherwise, an LM34 is intrinsically more accurate than an LM35 simply because one degree F is smaller than one degree C. I think that, with the relatively narrow temperature band you are trying to cover (135 to 165°C), a thermistor can be more accurate than either an LM35 or LM34. But that's just based on my experience, which is not exhaustive.
by Jake Hertz
by Jake Hertz
by Duane Benson
by Jake Hertz