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
Volume9
EditionPART 1
DOIs
StatePublished - 2013
Event9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Toulouse, France
Duration: Sep 4 2013Sep 6 2013

Other

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

Fingerprint

Stabilization
Nonlinear control systems
Feedback
Uncertainty

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., Vol. 9, pp. 32-37) https://doi.org/10.3182/20130904-3-FR-2041.00085

Stabilization of generalized triangular form systems with dynamic uncertainties by means of small gain theorems? / Dashkovskiy, Sergey N.; Pavlichkov, Svyatoslav S.; Jiang, Zhong-Ping.

9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings. Vol. 9 PART 1. ed. 2013. p. 32-37.

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

Dashkovskiy, SN, Pavlichkov, SS & 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 edn, vol. 9, pp. 32-37, 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013, Toulouse, France, 9/4/13. https://doi.org/10.3182/20130904-3-FR-2041.00085
Dashkovskiy SN, Pavlichkov SS, Jiang Z-P. 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. Vol. 9. 2013. p. 32-37 https://doi.org/10.3182/20130904-3-FR-2041.00085
Dashkovskiy, Sergey N. ; Pavlichkov, Svyatoslav S. ; Jiang, Zhong-Ping. / Stabilization of generalized triangular form systems with dynamic uncertainties by means of small gain theorems?. 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings. Vol. 9 PART 1. ed. 2013. pp. 32-37
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