Analog-to-digital converters: sliding mode observer as a pulse modulator

Sliding mode observers (SMO) and principles of digital delta (/spl Delta/) and sigma (/spl Sigma/) modulation in implementations of feedback processing systems under the discrete-time control with a zero-order-hold are analyzed. An equivalency is established between the structures of /spl Delta/ - a...

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Bibliographic Details
Published in:40th IEEE Conference on Decision and Control 2001 Vol. 2; pp. 1813 - 1818 vol.2
Main Authors: Shkolnikov, I.A., Shtessel, Y.B., Plekhanov, S.V.
Format: Conference Proceeding
Language:English
Published: IEEE 2001
Subjects:
Analog-digital conversion
Communication system control
Communication systems
Control systems
Delta modulation
Feedback
Modulation coding
Pulse modulation
Pulse width modulation converters
Sliding mode control
ISBN:9780780370616, 0780370619
Online Access:Get full text
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Summary:Sliding mode observers (SMO) and principles of digital delta (/spl Delta/) and sigma (/spl Sigma/) modulation in implementations of feedback processing systems under the discrete-time control with a zero-order-hold are analyzed. An equivalency is established between the structures of /spl Delta/ - and /spl Sigma/ -modulators on one hand and the sliding mode observers configured as a "signal estimator" and a "disturbance estimator". The perceived similarity is utilized in combining the properties of a control system and a communication system in one on an example of a PD-controller with /spl Sigma/ /spl Delta/ -modulation. A common problem of excessive chattering in SMO or the "hunting" of the estimate about the signal in /spl Delta/ -modulator is addressed. Another setback, which is the slope overload problem, is addressed using the adaptive gain and a SMO with higher order sliding modes. In addition, a new type of pulse modulator, the second differential pulse code modulator, is proposed.
ISBN:9780780370616
0780370619
DOI:10.1109/CDC.2001.981168