Saturated Lipschitz Continuous Sliding Mode Controller for Perturbed Systems with Uncertain Control Coefficient

Carlos Arturo Martínez-Fuentes; Richard Seeber; Leonid Fridman; Jaime A. Moreno

doi:10.1109/TAC.2020.3034872

Saturated Lipschitz Continuous Sliding Mode Controller for Perturbed Systems with Uncertain Control Coefficient

Carlos Arturo Martínez-Fuentes, Richard Seeber, Leonid Fridman, Jaime A. Moreno

Institute of Automation and Control (4430)

Research output: Contribution to journal › Article › peer-review

Abstract

In this article, a Lipschitz continuous sliding mode controller (LCSMC) is proposed to stabilize an integrator chain with a saturated control input, Lipschitz continuous perturbations, and an unknown control coefficient. The proposed controller ensures global finite-time convergence to the sliding surface by means of a control signal that is Lipschitz continuous (i.e., has finite gain) and is bounded by a given actuator limit. Stability conditions for the controller's tuning parameters are derived and the effectiveness of the approach is demonstrated in the course of a numerical simulation.

Original language	English
Article number	9246210
Pages (from-to)	3885-3891
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	66
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2020.3034872
Publication status	Published - Aug 2021

Keywords

Sliding-mode control
Uncertain systems
Saturation
sliding mode control
uncertain systems

ASJC Scopus subject areas

Electrical and Electronic Engineering
Control and Systems Engineering
Computer Science Applications

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10.1109/TAC.2020.3034872

Cite this

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abstract = "In this article, a Lipschitz continuous sliding mode controller (LCSMC) is proposed to stabilize an integrator chain with a saturated control input, Lipschitz continuous perturbations, and an unknown control coefficient. The proposed controller ensures global finite-time convergence to the sliding surface by means of a control signal that is Lipschitz continuous (i.e., has finite gain) and is bounded by a given actuator limit. Stability conditions for the controller's tuning parameters are derived and the effectiveness of the approach is demonstrated in the course of a numerical simulation.",

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AU - Seeber, Richard

AU - Fridman, Leonid

AU - Moreno, Jaime A.

PY - 2021/8

Y1 - 2021/8

N2 - In this article, a Lipschitz continuous sliding mode controller (LCSMC) is proposed to stabilize an integrator chain with a saturated control input, Lipschitz continuous perturbations, and an unknown control coefficient. The proposed controller ensures global finite-time convergence to the sliding surface by means of a control signal that is Lipschitz continuous (i.e., has finite gain) and is bounded by a given actuator limit. Stability conditions for the controller's tuning parameters are derived and the effectiveness of the approach is demonstrated in the course of a numerical simulation.

AB - In this article, a Lipschitz continuous sliding mode controller (LCSMC) is proposed to stabilize an integrator chain with a saturated control input, Lipschitz continuous perturbations, and an unknown control coefficient. The proposed controller ensures global finite-time convergence to the sliding surface by means of a control signal that is Lipschitz continuous (i.e., has finite gain) and is bounded by a given actuator limit. Stability conditions for the controller's tuning parameters are derived and the effectiveness of the approach is demonstrated in the course of a numerical simulation.

KW - Sliding-mode control

KW - Uncertain systems

KW - Saturation

KW - sliding mode control

KW - uncertain systems

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

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M1 - 9246210

ER -

Saturated Lipschitz Continuous Sliding Mode Controller for Perturbed Systems with Uncertain Control Coefficient

Abstract

Keywords

ASJC Scopus subject areas

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