Periodicity in Delta-modulated feedback control
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 37-44 |
| Journal / Publication | Journal of Control Theory and Applications |
| Volume | 6 |
| Issue number | 1 |
| Publication status | Published - Feb 2008 |
Link(s)
Abstract
The Delta-modulated feedback control of a linear system introduces nonlinearity into the system through switchings between two input values. It has been found that Delta-modulation gives rise to periodic orbits. The existence of periodic points of all orders of Sigma-Delta modulation with "leaky" integration is completely characterized by some interesting groups of polynomials with "sign" coefficients. The results are naturally generalized to Sigma-Delta modulations with multiple delays, Delta-modulations in the "downlink", unbalanced Delta-modulations and systems with two-level quantized feedback. Further extensions relate to the existence of periodic points arising from Delta-modulated feedback control of a stable linear system in an arbitrary direction, for which some necessary and sufficient conditions are given. © 2008 Editorial Board of Control Theory and Applications.
Research Area(s)
- Delta-modulation, Nonlinear control, Periodic orbit, Sign polynomial, Switching
Citation Format(s)
Periodicity in Delta-modulated feedback control. / Xia, Xiaohua; Chen, Guanrong; Gai, Rudong et al.
In: Journal of Control Theory and Applications, Vol. 6, No. 1, 02.2008, p. 37-44.
In: Journal of Control Theory and Applications, Vol. 6, No. 1, 02.2008, p. 37-44.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
