Sliding-mode control of retarded nonlinear systems via finite spectrum assignment approach - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles IEEE Transactions on Automatic Control Year : 2006

Sliding-mode control of retarded nonlinear systems via finite spectrum assignment approach

Abstract

In the present study, a sliding mode control design method based on the finite spectrum assignment procedure is proposed. The finite spectrum assignment for retarded nonlinear systems can transform retarded nonlinear systems into delay-free linear systems via a variable transformation and a feedback, which contain the past values of the state. This method can be considered to be an extension of both the finite spectrum assignment for retarded linear systems with controllability over polynomial rings of the delay operator and the exact linearization for finite dimensional nonlinear systems. The proposed method is to design a sliding surface via the variable transformation used in the finite spectrum assignment and to derive a switching feedback law. The obtained surface contains not only the current values of the state variables but also the past values of the state variables in the original coordinates. The effectiveness of the proposed method is tested by an illustrative example.
Fichier principal
Vignette du fichier
ri_2006_10_ogushi.pdf (262.89 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

inria-00131015 , version 1 (14-02-2007)

Identifiers

Cite

Toshiki Ogushi, Jean-Pierre Richard. Sliding-mode control of retarded nonlinear systems via finite spectrum assignment approach. IEEE Transactions on Automatic Control, 2006, 51 (9), pp.1527-1531. ⟨10.1109/TAC.2006.880803⟩. ⟨inria-00131015⟩
168 View
258 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More