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

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

doi:10.3182/20130904-3-FR-2041.00085

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

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

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English (US)
Title of host publication	9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings
Publisher	IFAC Secretariat
Pages	32-37
Number of pages	6
Edition	PART 1
ISBN (Print)	9783902823472
DOIs	https://doi.org/10.3182/20130904-3-FR-2041.00085
State	Published - 2013
Event	9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Toulouse, France Duration: Sep 4 2013 → Sep 6 2013

Publication series

Name	IFAC Proceedings Volumes (IFAC-PapersOnline)
Number	PART 1
Volume	9
ISSN (Print)	1474-6670

Other

Other	9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013
Country/Territory	France
City	Toulouse
Period	9/4/13 → 9/6/13

ASJC Scopus subject areas

Control and Systems Engineering

Access to Document

10.3182/20130904-3-FR-2041.00085

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). IFAC Secretariat. 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. PART 1. ed. IFAC Secretariat, 2013. p. 32-37 (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 9, No. PART 1).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Dashkovskiy, SN, Pavlichkov, SS & Jiang, ZP 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, IFAC Proceedings Volumes (IFAC-PapersOnline), no. PART 1, vol. 9, IFAC Secretariat, 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 ZP. 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. IFAC Secretariat. 2013. p. 32-37. (IFAC Proceedings Volumes (IFAC-PapersOnline); PART 1). doi: 10.3182/20130904-3-FR-2041.00085

@inproceedings{396cb2b3e85e4fc3908fff1d00bce467,

title = "Stabilization of generalized triangular form systems with dynamic uncertainties by means of small gain theorems?",

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.",

author = "Dashkovskiy, {Sergey N.} and Pavlichkov, {Svyatoslav S.} and Jiang, {Zhong Ping}",

note = "Funding Information: ★ The first two authors were supported by the German Research Foundation (DFG) via grant No. DA767/3-1.; 9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 ; Conference date: 04-09-2013 Through 06-09-2013",

year = "2013",

doi = "10.3182/20130904-3-FR-2041.00085",

language = "English (US)",

isbn = "9783902823472",

series = "IFAC Proceedings Volumes (IFAC-PapersOnline)",

publisher = "IFAC Secretariat",

number = "PART 1",

pages = "32--37",

booktitle = "9th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2013 - Proceedings",