Stabilization of generalized triangular form systems with dynamic uncertainties by means of small gain theorems?

Sergey N. Dashkovskiy, Svyatoslav S. Pavlichkov, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We prove that a nonlinear control system with periodic dynamics in the generalized triangular form (GTF) which is affected by external disturbances can be uniformly input-to- state stabilized by means of a periodic feedback and the gain can be chosen arbitrarily small in some sense. This allows us to stabilize such a system in presence of unmeasured dynamic uncertainties.

Original languageEnglish (US)
Title of host publication9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings
Pages32-37
Number of pages6
EditionPART 1
DOIs
StatePublished - Oct 22 2013
Event9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Toulouse, France
Duration: Sep 4 2013Sep 6 2013

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
NumberPART 1
Volume9
ISSN (Print)1474-6670

Other

Other9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013
CountryFrance
CityToulouse
Period9/4/139/6/13

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ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Dashkovskiy, S. N., Pavlichkov, S. S., & Jiang, Z. P. (2013). Stabilization of generalized triangular form systems with dynamic uncertainties by means of small gain theorems? In 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings (PART 1 ed., pp. 32-37). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 9, No. PART 1). https://doi.org/10.3182/20130904-3-FR-2041.00085