Stabilization of time-delay nonlinear discrete-time systems with saturating actuators through T-S models

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review

8 Scopus Citations
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Author(s)

  • Luís F.P. Silva
  • Valter J.S. Leite
  • Eugênio B. Castelan
  • Gang Feng

Detail(s)

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
PublisherIFAC Secretariat
Pages11000-11005
Volume19
ISBN (print)9783902823625
Publication statusPublished - 2014

Publication series

Name
Volume19
ISSN (Print)1474-6670

Conference

Title19th IFAC World Congress of the International Federation of Automatic Control (IFAC 2014)
LocationCape Town International Convention Centre
PlaceSouth Africa
CityCape Town
Period24 - 29 August 2014

Abstract

In this paper the problem of local stabilization of nonlinear discrete-time systems with time-varying delay and saturating actuators is studied. Firstly, through a fuzzy Lyapunov-Krasovskii (L-K) function, we develop convex conditions to synthesize fuzzy state feedback gain controllers that stabilize the nonlinear system subject to saturating actuators. Next, we introduce a new approach to compute an estimate of the region of attraction where the initial condition sequence is split into two subsequences. The first one is composed of the state vector at the actual instant of sampling, i.e. for k = 0. The second one is composed of the state vectors at the delayed samplings. Then, we propose a convex optimization problem to maximize the estimated region of attraction of the closed loop control system. Finally, we give a numerical example to illustrate the obtained results.

Research Area(s)

  • Delayed states, Discrete-time nonlinear systems, LMIs, Lyapunov-Krasovskii fuzzy function, Saturating input, Takagi-Sugeno models

Citation Format(s)

Stabilization of time-delay nonlinear discrete-time systems with saturating actuators through T-S models. / Silva, Luís F.P.; Leite, Valter J.S.; Castelan, Eugênio B. et al.
IFAC Proceedings Volumes (IFAC-PapersOnline). Vol. 19 IFAC Secretariat, 2014. p. 11000-11005.

Research output: Chapters, Conference Papers, Creative and Literary WorksRGC 32 - Refereed conference paper (with host publication)peer-review