%0 Journal Article
%T Hybrid delta modulator: stability analysis using sliding mode theory
%A Akshya Swain
%A Chathura Wanigasekara
%A Dhafer Almakhles
%A Khaled Almustafa
%A Umashankar Subramaniyan
%J Systems Science & Control Engineering
%D 2019
%R https://doi.org/10.1080/21642583.2019.1630861
%X The present study proposes a new dynamic two-level quantizer, called as hybrid delta modulator ( ¦¤H-M), which combines the features of both delta-modulator and delta-sigma modulator. In the transient state, the ¦¤H-M exhibits the dynamical behaviour of delta modulator (¦¤-M) while in steady state, its behaviour is similar to delta-sigma modulator ( ¦¤¦²-M). This study investigates about various dynamics of the proposed ¦¤H-M in both continuous and discrete-time domains. The stability conditions of ¦¤H-M are derived using the theory of sliding and quasi-sliding mode. The theoretical results are validated through extensive simulations. Abbreviations: ¦¤-M: delta modulator; ¦¤H-M: hybrid delta modulator; ¦¤¦²-M: delta sigma modulator; ADC: analogue to digital converter; CT: continuous-time; DAC: digital to analogue converter; DT: discrete-time; NCS: networked control system; QSM: quasi-sliding model; QSMD: quasi-sliding mode domain; SS: steady state; TP: transient proces
%U https://www.tandfonline.com/doi/full/10.1080/21642583.2019.1630861