Abstract
This paper introduces the notion of w-stability of feedback systems. This is a generalization of a concept of well-posedness discussed by Willems. w-Stability requires that a feedback system should remain stable under a certain class of perturbations which may not be vanishingly small when measured by the gap metric. The paper derives necessary and sufficient conditions for a feedback system to be w-stable. Further, an investigation of well posedness is given for feedback systems where high frequency roll-off has been suppressed for modelling simplicity. This question is pertinent in standard PID control.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 271-277 |
| Number of pages | 7 |
| Journal | Systems and Control Letters |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 1989 |
| Externally published | Yes |
Bibliographical note
Funding Information:* This work was supported in part by the NSF under Grant Nos. ECS-8705291 and MIP-8708811.
Keywords
- PID control
- Stability
- modelling uncertainty
- robustness
- well-posedness