Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation

Dina Shona Laila, D. Nešić, A. R. Teel

Research output: Contribution to journal › Article

148 Citations (Scopus)

Abstract

We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system satisfies a certain dissipation inequality, is appropriately discretized and implemented using sample and zero-order-hold, then the discrete-time model of the closed-loop sampled-data system satisfies a similar dissipation inequality in a semiglobal practical sense (sampling period is the parameter that we can adjust). We consider two different forms of dissipation inequalities for the discrete-time model: the “weak” form and the “strong” form. The results are also applicable for open-loop systems.
Original languageEnglish
Pages (from-to)109-125
JournalEuropean Journal of Control
Volume8
Issue number2
DOIs
Publication statusPublished - 2002

Fingerprint

Sampling
Controllers
Closed loop systems
Nonlinear systems

Bibliographical note

The full text is currently unavailable on the repository.

Keywords

  • Discrete-Time
  • Dissipation
  • Emulation Design
  • Nonlinear
  • Sampled-Data

Cite this

Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation. / Laila, Dina Shona; Nešić, D.; Teel, A. R.

In: European Journal of Control, Vol. 8, No. 2, 2002, p. 109-125.

Research output: Contribution to journal › Article

Laila, DS, Nešić, D & Teel, AR 2002, 'Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation' European Journal of Control, vol. 8, no. 2, pp. 109-125. https://doi.org/10.3166/ejc.8.109-125
Laila DS, Nešić D, Teel AR. Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation. European Journal of Control. 2002;8(2):109-125. https://doi.org/10.3166/ejc.8.109-125
Laila, Dina Shona ; Nešić, D. ; Teel, A. R. / Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation. In: European Journal of Control. 2002 ; Vol. 8, No. 2. pp. 109-125.
@article{d0006b60136f4af0b823f796dbf2a467,
title = "Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation",
abstract = "We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system satisfies a certain dissipation inequality, is appropriately discretized and implemented using sample and zero-order-hold, then the discrete-time model of the closed-loop sampled-data system satisfies a similar dissipation inequality in a semiglobal practical sense (sampling period is the parameter that we can adjust). We consider two different forms of dissipation inequalities for the discrete-time model: the “weak” form and the “strong” form. The results are also applicable for open-loop systems.",
keywords = "Discrete-Time, Dissipation, Emulation Design, Nonlinear, Sampled-Data",
author = "Laila, {Dina Shona} and D. Nešić and Teel, {A. R.}",
note = "The full text is currently unavailable on the repository.",
year = "2002",
doi = "10.3166/ejc.8.109-125",
language = "English",
volume = "8",
pages = "109--125",
journal = "European Journal of Control",
issn = "0947-3580",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Open- and Closed-Loop Dissipation Inequalities Under Sampling and Controller Emulation

AU - Laila, Dina Shona

AU - Nešić, D.

AU - Teel, A. R.

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

PY - 2002

Y1 - 2002

N2 - We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system satisfies a certain dissipation inequality, is appropriately discretized and implemented using sample and zero-order-hold, then the discrete-time model of the closed-loop sampled-data system satisfies a similar dissipation inequality in a semiglobal practical sense (sampling period is the parameter that we can adjust). We consider two different forms of dissipation inequalities for the discrete-time model: the “weak” form and the “strong” form. The results are also applicable for open-loop systems.

AB - We present a general and unified framework for the design of nonlinear digital controllers using the emulation method for nonlinear systems with disturbances. It is shown that if a (dynamic) continuous-time controller, which is designed so that the continuous-time closed-loop system satisfies a certain dissipation inequality, is appropriately discretized and implemented using sample and zero-order-hold, then the discrete-time model of the closed-loop sampled-data system satisfies a similar dissipation inequality in a semiglobal practical sense (sampling period is the parameter that we can adjust). We consider two different forms of dissipation inequalities for the discrete-time model: the “weak” form and the “strong” form. The results are also applicable for open-loop systems.

KW - Discrete-Time

KW - Dissipation

KW - Emulation Design

KW - Nonlinear

KW - Sampled-Data

U2 - 10.3166/ejc.8.109-125

DO - 10.3166/ejc.8.109-125

M3 - Article

VL - 8

SP - 109

EP - 125

JO - European Journal of Control

JF - European Journal of Control

SN - 0947-3580

IS - 2

ER -

Access to Document