Abstract
A discrete-time sliding mode proximate time-optimal servomechanism is developed using nonlinear sliding mode tangent to a reference velocity profile. Instead of a strong nonlinear function causing control chattering in discrete-time, a linear control is designed around the sliding surface. The resulting servomechanism delivers a bounded motion about the sliding surface even in the presence of plant uncertainties. Application results demonstrate accurate reference velocity tracking and uniformly excellent seek performance regardless of seek length via enforced sliding mode.
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