Note on Minimax Sliding Mode Control Design for Linear Systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Transactions on Automatic Control Year : 2016

Note on Minimax Sliding Mode Control Design for Linear Systems

Abstract

The paper studies the problem of sliding mode control design for linear systems with incomplete and noisy measurements of the output and additive/multiplicative exogenous disturbances. First, we construct a linear minimax observer to have an estimate of the system's state with minimal worst-case error. Second, we establish the optimality of the constructed observer in the class of all observers represented by measurable functionals of the output. Finally, we propose an algorithm, generating continuous and discontinuous feedbacks, which steers the observer as close as possible to a given sliding hyperplane in finite time. The optimality (sub-optimality) of the designed feedbacks is proven for the case of bounded noises and additive (multiplicative) disturbances of L 2-class. The efficacy of the proposed algorithm is illustrated by a numerical example.

Keywords

Fichier principal
Vignette du fichier
main.pdf (393.4 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01371091 , version 1 (23-09-2016)

Identifiers

Cite

Sergiy Zhuk, Andrey Polyakov, Olexander Nakonechnyi. Note on Minimax Sliding Mode Control Design for Linear Systems. IEEE Transactions on Automatic Control, 2016, ⟨10.1109/TAC.2016.2612058⟩. ⟨hal-01371091⟩
129 View
190 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More