Analog-to-digital converter design using sliding mode control theory

Sigma-Delta modulators (SDM), simple, inexpensive and yet very accurate Analog-to-Digital (A/D) converters (also called 1-bit oversampling A/D converters) are studied. Mathematical expressions for Delta and Sigma-Delta modulations are derived. It is shown that any Sigma-Delta and Delta modulator is a dynamical system in sliding mode and a sliding mode control theory can be directly applied to such systems.; The thesis presents the method for stability analysis of continuous-time SDM based on sliding mode control.; The sliding mode control design methodology is developed for 1-bit oversampling A/D converter synthesis that can yield new structures of modulators.; Three particular designs of 1-bit oversampled A/D converters are presented. Computer simulations results conformed the design objective.