Robustness of Delayed Higher Order Sliding Mode Control
Moussa Labbadi, Denis Efimov, and Leonid Fridman

TL;DR
This paper investigates the robustness of higher order delayed sliding mode controllers against noise and perturbations, using ISS Lyapunov-Razumikhin functions, supported by simulation validation.
Contribution
It introduces a new robustness analysis framework for higher order delayed sliding mode controllers using ISS Lyapunov-Razumikhin functions.
Findings
Robustness against measurement noise is established.
Robustness against mismatched perturbations is demonstrated.
Simulation confirms the effectiveness of the proposed method.
Abstract
In this paper, the feasibility of recently developed higher order delayed sliding mode controllers is addressed. With this aim the robustness against the measurement noise and mismatched perturbations for the systems governed by such controllers is established using ISS implicit Lyapunov-Razumikhin function approach. To illustrate proposed results, a simulation example validating the efficiency of the method is provided.
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Taxonomy
TopicsAdaptive Control of Nonlinear Systems · Stability and Control of Uncertain Systems · Control Systems in Engineering
