Global output-feedback control of systems with dynamic nonlinear input uncertainties through singular perturbation-based dynamic scaling

P. Krishnamurthy, Farshad Khorrami

Research output: Contribution to journalArticle

Abstract

A general class of uncertain nonlinear systems with dynamic input nonlinearities is considered. The system structure includes a core nominal subsystem of triangular structure with additive uncertain nonlinear functions, coupled uncertain nonlinear appended dynamics, and uncertain nonlinear input unmodeled dynamics. 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 in the system dynamics. The proposed approach yields a constructive global robust adaptive output-feedback control design that is robust to the dynamic input uncertainties and to uncertain nonlinear functions allowed throughout the system structure.

Original languageEnglish (US)
JournalInternational Journal of Adaptive Control and Signal Processing
DOIs
StateAccepted/In press - 2015

Fingerprint

Feedback control
Control nonlinearities
Uncertainty
Nonlinear systems
Dynamical systems
Controllers

Keywords

  • Adaptive control
  • Dynamic output feedback
  • High-gain feedback
  • Nonlinear control systems
  • Observers
  • Robust control

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Signal Processing

Cite this

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title = "Global output-feedback control of systems with dynamic nonlinear input uncertainties through singular perturbation-based dynamic scaling",
abstract = "A general class of uncertain nonlinear systems with dynamic input nonlinearities is considered. The system structure includes a core nominal subsystem of triangular structure with additive uncertain nonlinear functions, coupled uncertain nonlinear appended dynamics, and uncertain nonlinear input unmodeled dynamics. 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 in the system dynamics. The proposed approach yields a constructive global robust adaptive output-feedback control design that is robust to the dynamic input uncertainties and to uncertain nonlinear functions allowed throughout the system structure.",
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author = "P. Krishnamurthy and Farshad Khorrami",
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journal = "International Journal of Adaptive Control and Signal Processing",
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N2 - A general class of uncertain nonlinear systems with dynamic input nonlinearities is considered. The system structure includes a core nominal subsystem of triangular structure with additive uncertain nonlinear functions, coupled uncertain nonlinear appended dynamics, and uncertain nonlinear input unmodeled dynamics. 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 in the system dynamics. The proposed approach yields a constructive global robust adaptive output-feedback control design that is robust to the dynamic input uncertainties and to uncertain nonlinear functions allowed throughout the system structure.

AB - A general class of uncertain nonlinear systems with dynamic input nonlinearities is considered. The system structure includes a core nominal subsystem of triangular structure with additive uncertain nonlinear functions, coupled uncertain nonlinear appended dynamics, and uncertain nonlinear input unmodeled dynamics. 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 in the system dynamics. The proposed approach yields a constructive global robust adaptive output-feedback control design that is robust to the dynamic input uncertainties and to uncertain nonlinear functions allowed throughout the system structure.

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KW - High-gain feedback

KW - Nonlinear control systems

KW - Observers

KW - Robust control

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