In this paper, the discussion of root locus is taken from the point of view of field theory by treating root locus as some kind of potential flows. This approach throws a new light on root locus and suggests a physical modeling of root locus in terms of the streamlines in flow field and electric field. Based on potential theory we derive the governing equations of root locus for time-varying systems, in terms of which the force interaction existing within root loci can be explained, and root sensitivity and root robustness can be defined. Furthermore, the superposition of elementary potential flows makes it possible to reconstruct open-loop transfer function from the desired root locus - the so-called inverse root-locus problem.
All Science Journal Classification (ASJC) codes
- Electrical and Electronic Engineering