Preliminary results about robust Lagrange stability in adaptive non-linear regulation

Research output: Contribution to journalArticle

Abstract

We are concerned with the problem of regulating the equilibrium point of a non-linear system in the presence of both parametric and dynamic uncertainties. For the parametric uncertainty we propose a new adaptive controller based on a Lyapunov design and guaranteeing the global boundedness of the solution if a growth condition is satisfied. For the dynamic uncertainty we propose a new way of characterizing the unmodelled effects which encompasses some singular and regular perturbations as illustrated by our worked example. Finally we show how, by modifying the above controller, the boundedness property can be made robust to these unmodelled effects.

Original languageEnglish (US)
Pages (from-to)285-307
Number of pages23
JournalInternational Journal of Adaptive Control and Signal Processing
Volume6
Issue number4
StatePublished - Jul 1992

Fingerprint

Controllers
Nonlinear systems
Uncertainty

ASJC Scopus subject areas

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

Cite this

@article{a03ddce61c51483792b8ccf96829f038,
title = "Preliminary results about robust Lagrange stability in adaptive non-linear regulation",
abstract = "We are concerned with the problem of regulating the equilibrium point of a non-linear system in the presence of both parametric and dynamic uncertainties. For the parametric uncertainty we propose a new adaptive controller based on a Lyapunov design and guaranteeing the global boundedness of the solution if a growth condition is satisfied. For the dynamic uncertainty we propose a new way of characterizing the unmodelled effects which encompasses some singular and regular perturbations as illustrated by our worked example. Finally we show how, by modifying the above controller, the boundedness property can be made robust to these unmodelled effects.",
author = "Zhong-Ping Jiang and L. Praly",
year = "1992",
month = "7",
language = "English (US)",
volume = "6",
pages = "285--307",
journal = "International Journal of Adaptive Control and Signal Processing",
issn = "0890-6327",
publisher = "John Wiley and Sons Ltd",
number = "4",

}

TY - JOUR

T1 - Preliminary results about robust Lagrange stability in adaptive non-linear regulation

AU - Jiang, Zhong-Ping

AU - Praly, L.

PY - 1992/7

Y1 - 1992/7

N2 - We are concerned with the problem of regulating the equilibrium point of a non-linear system in the presence of both parametric and dynamic uncertainties. For the parametric uncertainty we propose a new adaptive controller based on a Lyapunov design and guaranteeing the global boundedness of the solution if a growth condition is satisfied. For the dynamic uncertainty we propose a new way of characterizing the unmodelled effects which encompasses some singular and regular perturbations as illustrated by our worked example. Finally we show how, by modifying the above controller, the boundedness property can be made robust to these unmodelled effects.

AB - We are concerned with the problem of regulating the equilibrium point of a non-linear system in the presence of both parametric and dynamic uncertainties. For the parametric uncertainty we propose a new adaptive controller based on a Lyapunov design and guaranteeing the global boundedness of the solution if a growth condition is satisfied. For the dynamic uncertainty we propose a new way of characterizing the unmodelled effects which encompasses some singular and regular perturbations as illustrated by our worked example. Finally we show how, by modifying the above controller, the boundedness property can be made robust to these unmodelled effects.

UR - http://www.scopus.com/inward/record.url?scp=0026887326&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026887326&partnerID=8YFLogxK

M3 - Article

VL - 6

SP - 285

EP - 307

JO - International Journal of Adaptive Control and Signal Processing

JF - International Journal of Adaptive Control and Signal Processing

SN - 0890-6327

IS - 4

ER -