New methodologies for adaptive sliding mode control

2010/07/21 by Franck Plestan, F. Plestan, Y. Shtessel +5 · 35 citations
Engineering · Mathematics · #Adaptive Control of Nonlinear Systems #Adaptive control #Artificial intelligence #Computer science #Control (management) #Control Systems in Engineering #Control engineering #Control theory (sociology) #Engineering #Iterative Learning Control Systems #Mathematics #Mode (computer interface) #Nonlinear system #Physics #Sliding mode control

paper · open access · doi:10.1080/00207179.2010.501385

published in International Journal of Control 83(9), 1907-1919 (Taylor & Francis)

openalex publication_date 2010/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

This article proposes new methodologies for the design of adaptive sliding mode control. The goal is to obtain a robust sliding mode adaptive-gain control law with respect to uncertainties and perturbations without the knowledge of uncertainties/perturbations bound (only the boundness feature is known). The proposed approaches consist in having a dynamical adaptive control gain that establishes a sliding mode in finite time. Gain dynamics also ensures that there is no overestimation of the gain with respect to the real a priori unknown value of uncertainties. The efficacy of both proposed algorithms is confirmed on a tutorial example and while controlling an electropneumatic actuator.

Citations

• Sliding order and sliding accuracy in sliding mode control

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