Sampled-data adaptive control for a class of nonlinear systems with parametric uncertainties

Dina Shona Laila, E. M. Navarro-López, A. Astolfi

Research output: Contribution to conferencePaper

3 Citations (Scopus)

Abstract

Sampled-data control systems have been prevailing in various applications, in parallel with the development of digital computers and its applications in control activities. At the same time, adaptation has proved to improve performance of a control algorithm, particularly when uncertainties involve in the model of the systems. In this paper, a stabilization problem for a class of nonlinear systems with parametric uncertainties is addressed. A discrete-time adaptation algorithm based directly on the discrete-time model of the system is proposed. This adaptation algorithm is then used for constructing a discrete-time controller to stabilize (in a semiglobal practical sense) the original continuous-time system in closed-loop, in a sampled-data set-up. This proposed direct discrete-time technique is shown to improve the closed-loop performance of the system, compared to applying a discrete-time adaptive control which is obtained through emulation design (by means of sample and hold). An example is presented to illustrate the result, and to show the advantages of this direct discrete-time design for sampled-data implementation.
Original languageEnglish
Pages1261–1266
DOIs
Publication statusPublished - 2011
EventIFAC World Congress - Milan, Italy
Duration: 28 Aug 20112 Sep 2011

Conference

ConferenceIFAC World Congress
CountryItaly
CityMilan
Period28/08/112/09/11

Fingerprint

Nonlinear systems
Sampled data control systems
Continuous time systems
Digital computers
Stabilization
Controllers
Uncertainty

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

  • Adaptive control
  • Nonlinear control
  • Sampled-data system
  • Parametric uncertainties

Cite this

Laila, D. S., Navarro-López, E. M., & Astolfi, A. (2011). Sampled-data adaptive control for a class of nonlinear systems with parametric uncertainties. 1261–1266. Paper presented at IFAC World Congress, Milan, Italy. https://doi.org/10.3182/20110828-6-IT-1002.03601

Sampled-data adaptive control for a class of nonlinear systems with parametric uncertainties. / Laila, Dina Shona; Navarro-López, E. M.; Astolfi, A.

2011. 1261–1266 Paper presented at IFAC World Congress, Milan, Italy.

Research output: Contribution to conferencePaper

Laila, DS, Navarro-López, EM & Astolfi, A 2011, 'Sampled-data adaptive control for a class of nonlinear systems with parametric uncertainties' Paper presented at IFAC World Congress, Milan, Italy, 28/08/11 - 2/09/11, pp. 1261–1266. https://doi.org/10.3182/20110828-6-IT-1002.03601
Laila, Dina Shona ; Navarro-López, E. M. ; Astolfi, A. / Sampled-data adaptive control for a class of nonlinear systems with parametric uncertainties. Paper presented at IFAC World Congress, Milan, Italy.
@conference{19819fb1a1ba439f8cb13e9e59d62e59,
title = "Sampled-data adaptive control for a class of nonlinear systems with parametric uncertainties",
abstract = "Sampled-data control systems have been prevailing in various applications, in parallel with the development of digital computers and its applications in control activities. At the same time, adaptation has proved to improve performance of a control algorithm, particularly when uncertainties involve in the model of the systems. In this paper, a stabilization problem for a class of nonlinear systems with parametric uncertainties is addressed. A discrete-time adaptation algorithm based directly on the discrete-time model of the system is proposed. This adaptation algorithm is then used for constructing a discrete-time controller to stabilize (in a semiglobal practical sense) the original continuous-time system in closed-loop, in a sampled-data set-up. This proposed direct discrete-time technique is shown to improve the closed-loop performance of the system, compared to applying a discrete-time adaptive control which is obtained through emulation design (by means of sample and hold). An example is presented to illustrate the result, and to show the advantages of this direct discrete-time design for sampled-data implementation.",
keywords = "Adaptive control, Nonlinear control, Sampled-data system, Parametric uncertainties",
author = "Laila, {Dina Shona} and Navarro-L{\'o}pez, {E. M.} and A. Astolfi",
note = "The full text is currently unavailable on the repository.; IFAC World Congress ; Conference date: 28-08-2011 Through 02-09-2011",
year = "2011",
doi = "10.3182/20110828-6-IT-1002.03601",
language = "English",
pages = "1261–1266",

}

TY - CONF

T1 - Sampled-data adaptive control for a class of nonlinear systems with parametric uncertainties

AU - Laila, Dina Shona

AU - Navarro-López, E. M.

AU - Astolfi, A.

N1 - The full text is currently unavailable on the repository.

PY - 2011

Y1 - 2011

N2 - Sampled-data control systems have been prevailing in various applications, in parallel with the development of digital computers and its applications in control activities. At the same time, adaptation has proved to improve performance of a control algorithm, particularly when uncertainties involve in the model of the systems. In this paper, a stabilization problem for a class of nonlinear systems with parametric uncertainties is addressed. A discrete-time adaptation algorithm based directly on the discrete-time model of the system is proposed. This adaptation algorithm is then used for constructing a discrete-time controller to stabilize (in a semiglobal practical sense) the original continuous-time system in closed-loop, in a sampled-data set-up. This proposed direct discrete-time technique is shown to improve the closed-loop performance of the system, compared to applying a discrete-time adaptive control which is obtained through emulation design (by means of sample and hold). An example is presented to illustrate the result, and to show the advantages of this direct discrete-time design for sampled-data implementation.

AB - Sampled-data control systems have been prevailing in various applications, in parallel with the development of digital computers and its applications in control activities. At the same time, adaptation has proved to improve performance of a control algorithm, particularly when uncertainties involve in the model of the systems. In this paper, a stabilization problem for a class of nonlinear systems with parametric uncertainties is addressed. A discrete-time adaptation algorithm based directly on the discrete-time model of the system is proposed. This adaptation algorithm is then used for constructing a discrete-time controller to stabilize (in a semiglobal practical sense) the original continuous-time system in closed-loop, in a sampled-data set-up. This proposed direct discrete-time technique is shown to improve the closed-loop performance of the system, compared to applying a discrete-time adaptive control which is obtained through emulation design (by means of sample and hold). An example is presented to illustrate the result, and to show the advantages of this direct discrete-time design for sampled-data implementation.

KW - Adaptive control

KW - Nonlinear control

KW - Sampled-data system

KW - Parametric uncertainties

U2 - 10.3182/20110828-6-IT-1002.03601

DO - 10.3182/20110828-6-IT-1002.03601

M3 - Paper

SP - 1261

EP - 1266

ER -