A singular perturbation based global dynamic high gain scaling control design for systems with nonlinear input uncertainties

Prashanth Krishnamurthy, Farshad Khorrami

Research output: Contribution to journalArticle

Abstract

A general class of uncertain nonlinear systems with input nonlinearities is considered. The system structure includes a core nominal system of triangular structure with additive uncertain nonlinear functions. The control input is allowed to enter non-affinely into the system dynamics as well as to have uncertainties coupled with it in terms of an uncertain nonlinear function of the input and output. The control design is based on dual controller/observer dynamic high-gain scaling with an additional dynamic scaling based on a singular-perturbation-like redesign to address the non-affine and uncertain nature of the input appearance into the system dynamics. The proposed approach yields a global robust adaptive output-feedback control design.

Original languageEnglish (US)
Article number6497511
Pages (from-to)2686-2692
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume58
Issue number10
DOIs
StatePublished - 2013

Fingerprint

Dynamical systems
Control nonlinearities
Feedback control
Nonlinear systems
Controllers
Uncertainty

Keywords

  • Feed-forward systems
  • high gain
  • non-affine
  • nonlinear systems
  • output feedback
  • scaling
  • singular perturbation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Control and Systems Engineering
  • Computer Science Applications

Cite this

A singular perturbation based global dynamic high gain scaling control design for systems with nonlinear input uncertainties. / Krishnamurthy, Prashanth; Khorrami, Farshad.

In: IEEE Transactions on Automatic Control, Vol. 58, No. 10, 6497511, 2013, p. 2686-2692.

Research output: Contribution to journalArticle

@article{3032e1b3846948029da2ca498386fa97,
title = "A singular perturbation based global dynamic high gain scaling control design for systems with nonlinear input uncertainties",
abstract = "A general class of uncertain nonlinear systems with input nonlinearities is considered. The system structure includes a core nominal system of triangular structure with additive uncertain nonlinear functions. The control input is allowed to enter non-affinely into the system dynamics as well as to have uncertainties coupled with it in terms of an uncertain nonlinear function of the input and output. The control design is based on dual controller/observer dynamic high-gain scaling with an additional dynamic scaling based on a singular-perturbation-like redesign to address the non-affine and uncertain nature of the input appearance into the system dynamics. The proposed approach yields a global robust adaptive output-feedback control design.",
keywords = "Feed-forward systems, high gain, non-affine, nonlinear systems, output feedback, scaling, singular perturbation",
author = "Prashanth Krishnamurthy and Farshad Khorrami",
year = "2013",
doi = "10.1109/TAC.2013.2257968",
language = "English (US)",
volume = "58",
pages = "2686--2692",
journal = "IEEE Transactions on Automatic Control",
issn = "0018-9286",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "10",

}

TY - JOUR

T1 - A singular perturbation based global dynamic high gain scaling control design for systems with nonlinear input uncertainties

AU - Krishnamurthy, Prashanth

AU - Khorrami, Farshad

PY - 2013

Y1 - 2013

N2 - A general class of uncertain nonlinear systems with input nonlinearities is considered. The system structure includes a core nominal system of triangular structure with additive uncertain nonlinear functions. The control input is allowed to enter non-affinely into the system dynamics as well as to have uncertainties coupled with it in terms of an uncertain nonlinear function of the input and output. The control design is based on dual controller/observer dynamic high-gain scaling with an additional dynamic scaling based on a singular-perturbation-like redesign to address the non-affine and uncertain nature of the input appearance into the system dynamics. The proposed approach yields a global robust adaptive output-feedback control design.

AB - A general class of uncertain nonlinear systems with input nonlinearities is considered. The system structure includes a core nominal system of triangular structure with additive uncertain nonlinear functions. The control input is allowed to enter non-affinely into the system dynamics as well as to have uncertainties coupled with it in terms of an uncertain nonlinear function of the input and output. The control design is based on dual controller/observer dynamic high-gain scaling with an additional dynamic scaling based on a singular-perturbation-like redesign to address the non-affine and uncertain nature of the input appearance into the system dynamics. The proposed approach yields a global robust adaptive output-feedback control design.

KW - Feed-forward systems

KW - high gain

KW - non-affine

KW - nonlinear systems

KW - output feedback

KW - scaling

KW - singular perturbation

UR - http://www.scopus.com/inward/record.url?scp=84884694635&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884694635&partnerID=8YFLogxK

U2 - 10.1109/TAC.2013.2257968

DO - 10.1109/TAC.2013.2257968

M3 - Article

VL - 58

SP - 2686

EP - 2692

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

SN - 0018-9286

IS - 10

M1 - 6497511

ER -