Periodicity in Delta-modulated feedback control
Xiaohua XIA
Guanrong CHEN
Rudong GAI
Alan S. I. ZINOBER
摘要：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.
机标关键词：feedback controllinear systemsufficient conditionsperiodic orbitsmultiple delays
分类号：TP13(自动化基础理论)TP18(自动化基础理论)
资助基金：国家自然科学基金(60674113)
论文发表日期：2008-01-01
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：8( 37-44 )
英文信息