Chattering Reduction for a Second-Order Actuator via Dynamic Sliding Manifolds

TL;DR

This paper demonstrates that dynamic sliding manifolds can be tuned to reduce actuator chattering in second-order systems with unknown parameters, improving control performance.

Contribution

It provides a harmonic balance analysis showing how to adjust dynamic sliding manifold parameters to lessen chattering compared to static manifolds.

Findings

Dynamic sliding manifolds can be tuned to reduce chattering amplitude.

Harmonic balance method effectively analyzes chattering reduction.

Simulation confirms the theoretical analysis.

Abstract

We analyze actuator chattering in a scalar integrator system subject to second-order actuator dynamics with an unknown time constant and first-order sliding-mode control, using both a conventional static sliding manifold and a dynamic sliding manifold. Using the harmonic balance method, we prove that it is possible to adjust the parameters of the dynamic sliding manifold for the specified system class so as to reduce the amplitude of the chattering in comparison to the static manifold. We illustrate our results with a simulation example. This contribution serves as a proof of concept to motivate further investigations in chattering reduction via dynamic sliding manifolds.