Sliding Mode Control of Constrained Nonlinear Systems

Gian Paolo Incremona, Matteo Rubagotti, Antonella Ferrara

Research output: Contribution to journalArticlepeer-review

61 Citations (Scopus)


This technical note introduces the design of sliding mode control algorithms for nonlinear systems in the presence of hard inequality constraints on both control and state variables. Relying on general results on minimum-time higher-order sliding mode for unconstrained systems, a general order control law is formulated to robustly steer the state to the origin, while satisfying all the imposed constraints. Results on minimum-time convergence to the sliding manifold, as well as on the maximization of the domain of attraction, are analytically proved for the first-order and second-order sliding mode cases. A general result is presented regarding the domain of attraction in the general order case, while numerical results on the estimation of the domain of attraction and on minimum-time convergence are discussed for the third-order case, following a procedure applicable to a sliding mode of any order.

Original languageEnglish
Pages (from-to)2965-2972
Number of pages8
JournalIEEE Transactions on Automatic Control
Issue number6
Publication statusPublished - Jun 1 2017


  • Constrained control
  • higher order sliding mode (HOSM)
  • second-order sliding mode
  • sliding mode control
  • uncertain systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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