Abstract
We apply the passivity theorem with appropriate choice of multipliers to develop a general framework for analyzing stability of anti-windup bumpless transfer (AWBT) schemes. For appropriate choices of the multipliers, we reduce the resulting sufficient conditions for stability to equivalent linear matrix inequalities (LMIs). We show that a number of previously reported attempts to analyze AWBT stability, using seemingly diverse techniques such as the Popov, circle and off-axis circle criteria, the optimally scaled small-gain theorem (generalized μ upper bound) and describing functions can all be generalized within the framework of this paper.
Original language | English (US) |
---|---|
Pages (from-to) | 917-928 |
Number of pages | 12 |
Journal | Automatica |
Volume | 35 |
Issue number | 5 |
DOIs | |
State | Published - May 1999 |
Externally published | Yes |
ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering