Skip to Main content Skip to Navigation
Journal articles

Set-valued sliding-mode control of uncertain linear systems: continuous and discrete-time analysis

Abstract : In this paper we study the closed-loop dynamics of linear time-invariant systems with feedback control laws that are described by set-valued maximal monotone maps. The class of systems considered in this work is subject to both, unknown exogenous disturbances and parameter uncertainty. It is shown how the design of conventional sliding mode controllers can be achieved using maximal monotone operators (which include the set-valued signum function). Two cases are analyzed: continuous-time and discrete-time controllers. In both cases well-posedness together with stability results are presented. In discrete time we show how the implicit scheme proposed for the selection of control actions makes sense resulting in the chattering effect being almost suppressed even with uncertainty in the system.
Complete list of metadatas

Cited literature [44 references]  Display  Hide  Download

https://hal.inria.fr/hal-01317948
Contributor : Bernard Brogliato <>
Submitted on : Thursday, May 19, 2016 - 8:44:33 AM
Last modification on : Friday, July 17, 2020 - 11:40:04 AM
Long-term archiving on: : Saturday, August 20, 2016 - 10:27:40 AM

File

Miranda_etal_19052016.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

Felix Miranda-Villatoro, Bernard Brogliato, Fernando Castaños. Set-valued sliding-mode control of uncertain linear systems: continuous and discrete-time analysis. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, 2018, 56 (3), pp.1756-1793. ⟨10.1137/16M1077362⟩. ⟨hal-01317948⟩

Share

Metrics

Record views

908

Files downloads

945