A non-fragile robust observer design for uncertain time-delay fractional Ito stochastic systems with input nonlinearity: An SMC approach

Khandani K., Parvizian M., EFE M. Ö.

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, cilt.236, sa.3, ss.607-619, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 236 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1177/09596518211040008
  • Dergi Adı: PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.607-619
  • Anahtar Kelimeler: Non-fragile observer, fractional Ito stochastic systems, sliding mode control, linear matrix inequalities, input nonlinearity, SLIDING MODE CONTROL, BROWNIAN-MOTION, EQUATIONS, DRIVEN, STABILIZATION
  • Hacettepe Üniversitesi Adresli: Evet

Özet

This article considers the problem of non-fragile observer design for uncertain fractional Ito stochastic systems. The design is based on a sliding surface whose reachability in finite time is guaranteed by introducing a novel sliding mode control law. Employing the fractional infinitesimal operator and the related lemmas, the stochastic stability of the overall closed-loop system is transformed to the problem of solving a set of linear matrix inequalities. Addressing the fragility issue, a norm-bounded term is added to the observer gain, which prevents failure of the estimation error system. The adverse effects of the input nonlinearity and time-varying delay are alleviated by the proposed approach. Furthermore, the present method is investigated for the fractional Ito stochastic systems with known states. A numerical example is presented to illustrate the effectiveness of the proposed method.