This letter introduces a new methodology for the design and tuning of sliding mode controllers with fixed-time stability property for a class of second-order uncertain nonlinear systems. Exploiting the Gauss error function, a novel sliding variable is designed, giving rise to a new control law, whose the main strengths are its ease of implementation and robustness. Indeed, differently from other fixed-time stable techniques in the literature, it only requires the tuning of two design parameters in order to ensure fixed-time convergence, while making the controlled system robust in front of disturbance and uncertainty terms. The properties of the closed-loop systems are theoretically analysed, and the effectiveness of the proposal is shown in simulation on a benchmark example.

Design of an Easy-to-Implement Fixed-Time Stable Sliding Mode Control

Ferrara, Antonella
2023-01-01

Abstract

This letter introduces a new methodology for the design and tuning of sliding mode controllers with fixed-time stability property for a class of second-order uncertain nonlinear systems. Exploiting the Gauss error function, a novel sliding variable is designed, giving rise to a new control law, whose the main strengths are its ease of implementation and robustness. Indeed, differently from other fixed-time stable techniques in the literature, it only requires the tuning of two design parameters in order to ensure fixed-time convergence, while making the controlled system robust in front of disturbance and uncertainty terms. The properties of the closed-loop systems are theoretically analysed, and the effectiveness of the proposal is shown in simulation on a benchmark example.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1496910
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 0
social impact