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Boundary Layer Using Dithering in Sliding Mode Control

Authors:Frasca Roberto, Università del Sannio, Italy
Iannelli Luigi, Università del Sannio, Italy
Vasca Francesco, Università del Sannio, Italy
Topic:2.3 Non-Linear Control Systems
Session:Nonlinear Stability and Structural Analysis
Keywords: Dither, Sliding Mode, Power Circuits, Averaging Control, Chattering.

Abstract

Practical issues in the implementation of sliding mode control systems, such as finite switching frequency, time delays and unmodeled dynamics, determine the state to belong to a neighborhood of the sliding manifold (the boundary layer) instead of lying on it. Dithering is here proposed as a technique for the regulation of the boundary layer when the actuator has a natural on-off behaviour. It is proved that dithering maintain the state of the system close to the ideal sliding manifold and that state error and practical stability depend on the dither amplitude, period and shape. Simulations on DC/DC power converters show that dither can play an important role for stability and robustness by using sliding mode control.