Abstract
Absolute stability criteria such as the classical Popov criterion guarantee stability for a class of sector-bounded nonlinearities. Although the sector restriction bounds the admissible class of the nonlinearities, the local slope of the nonlinearity may be arbitrarily large. In this paper we derive absolute stability criteria for multiple slope-restricted time-invariant monotonic nonlinearities. Like the Popov criterion, in the SISO case our results provide a simple graphical interpretation involving a straight line in a modified Popov plane.
Original language | English (US) |
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Pages (from-to) | 1020-1021 |
Number of pages | 2 |
Journal | Proceedings of the American Control Conference |
Volume | 1 |
State | Published - 1994 |
Event | Proceedings of the 1994 American Control Conference. Part 1 (of 3) - Baltimore, MD, USA Duration: Jun 29 1994 → Jul 1 1994 |
ASJC Scopus subject areas
- Electrical and Electronic Engineering