Abstract
The purpose of this paper is to establish a mathematical model precisely describing the force interaction within root loci. The concept of generalized root loci is introduced, and its relation with potential flows, such as streamline in fluids and current in electric fields, is revealed. With the help of complex variable theory, we derive formula to compute the force applied on root loci and to predict the quantitative variation of applied force when adding a pole or a zero to a root locus or removing from it. Root sensitivity and root robustness can also be quantitatively measured by using this mathematic model for root loci.
| Original language | English |
|---|---|
| Pages (from-to) | 2151-2156 |
| Number of pages | 6 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| Volume | 3 |
| Publication status | Published - 1994 Dec 1 |
| Event | Proceedings of the 2nd IEEE International Symposium on Requirements Engineering - York, Engl Duration: 1995 Mar 27 → 1995 Mar 29 |
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization