A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays

P. Krishnamurthy, Farshad Khorrami

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

Abstract

A general class of nonlinear systems containing delays in both state and input is considered and a dynamic high-gain scaling based control design is proposed. The class of systems considered is of a general structure which is not necessarily of any triangular form. All functions appearing in the system dynamics are allowed to be uncertain as long as some polynomial bounds on ratios of uncertain system terms are available. Both state and input delays are allowed to be time-varying and uncertain. The control design is based on our recent results on generalized scaling utilizing appropriate (not necessarily successive) powers of the scaling parameter. The control implementation does not require knowledge of the time delays or any magnitude bounds thereof; the only information about the time delays that is required is a bound on the rate of variation of time delays.

Original languageEnglish (US)
Title of host publicationProceedings of the 2011 American Control Conference, ACC 2011
Pages4361-4366
Number of pages6
StatePublished - 2011
Event2011 American Control Conference, ACC 2011 - San Francisco, CA, United States
Duration: Jun 29 2011Jul 1 2011

Other

Other2011 American Control Conference, ACC 2011
CountryUnited States
CitySan Francisco, CA
Period6/29/117/1/11

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Nonlinear systems
Time delay
Uncertain systems
Dynamical systems
Polynomials

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Krishnamurthy, P., & Khorrami, F. (2011). A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays. In Proceedings of the 2011 American Control Conference, ACC 2011 (pp. 4361-4366). [5990969]

A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays. / Krishnamurthy, P.; Khorrami, Farshad.

Proceedings of the 2011 American Control Conference, ACC 2011. 2011. p. 4361-4366 5990969.

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

Krishnamurthy, P & Khorrami, F 2011, A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays. in Proceedings of the 2011 American Control Conference, ACC 2011., 5990969, pp. 4361-4366, 2011 American Control Conference, ACC 2011, San Francisco, CA, United States, 6/29/11.
Krishnamurthy P, Khorrami F. A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays. In Proceedings of the 2011 American Control Conference, ACC 2011. 2011. p. 4361-4366. 5990969
Krishnamurthy, P. ; Khorrami, Farshad. / A generalized scaling based control design for nonlinear nontriangular systems with input and state time delays. Proceedings of the 2011 American Control Conference, ACC 2011. 2011. pp. 4361-4366
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