Design of Analog Circuits for Continuously Changing Constraints Using Fixator Norator Pairs

This presentation offers a design procedure when one or more constraints are continuously changing in an analog circuit. The components used for this are Fixator Norator Pairs (FNP). It starts with norators, where their variables (v and i) are linearly dependent on the design constraints, represented by fixators. So, when the constraints are changing the norators variable (as circuit components) can change and adjust themselves. It is shown that the linear dependency is applicable to the voltage and current of the norator, but when it comes to replacing it with a resistor the dependency becomes bilinear. So, for m continuously changing constraints we only need m corresponding resistors (voltage sources or current sources are also candidates) to vary and tune.A simple and efficient computational method is presented for finding these equivalent resistors. One indication of this efficiency is that, no formal matrix inversion is needed in the entire process.