Abstract
The author investigates performance limitations imposed by non-minimum phase characteristics of a nonlinear time-varying plant. A performance criterion is defined which, in the linear case, is analogous to minimizing the sensitivity over a given frequency band. It is shown that if the nonlinear plant is non-minimum phase, then the frequency-weighted sensitivity cannot be made arbitrarily small while keeping the overall sensitivity bounded. The non-minimum phasedness of the plant is stated in terms of deficiency in its range. These results extend the familiar push/pop phenomenon in sensitivity optimization to a nonlinear time-varying setting.
| Original language | English (US) |
|---|---|
| Title of host publication | Proceedings of the IEEE Conference on Decision and Control |
| Publisher | Publ by IEEE |
| Pages | 794-795 |
| Number of pages | 2 |
| ISBN (Print) | 0780304500 |
| State | Published - Jan 1992 |
| Externally published | Yes |
| Event | Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) - Brighton, Engl Duration: Dec 11 1991 → Dec 13 1991 |
Other
| Other | Proceedings of the 30th IEEE Conference on Decision and Control Part 1 (of 3) |
|---|---|
| City | Brighton, Engl |
| Period | 12/11/91 → 12/13/91 |
ASJC Scopus subject areas
- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality