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Sliding-mode control is a variable-structure method in which the control law switches rapidly to drive the system's state onto a chosen surface in state space and then hold it there, so that once on the surface the motion is governed by the surface's own reduced dynamics and becomes insensitive to a wide class of disturbances and model errors. Utkin's 1977 Variable Structure Systems with Sliding Modes gave the foundational theory, including the reaching condition and the equivalent-control description of motion on the surface. Its signature strength is robustness to matched uncertainty; its signature cost is chattering, the high-frequency switching that excites unmodelled dynamics.[1]
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