Practical Stabilization of Passive Nonlinear Systems with Limited Control

Bayu Jayawardhana; M. Muhammad Zaki Almuzakki; Aneel Tanwani

doi:10.1016/j.ifacol.2019.12.004

Practical Stabilization of Passive Nonlinear Systems with Limited Control

Bayu Jayawardhana
, M. Muhammad Zaki Almuzakki
, Aneel Tanwani^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

5 Citations (Scopus)

262 Downloads (Pure)

Abstract

This article addresses output feedback stabilization of continuous-time nonlinear systems by choosing control actions from a finite set. Working under the assumption that the system under consideration is passive and large-time norm observable, we propose a static feedback mapping, from the output space to the finite set of control actions, which is shown to be practically stabilizing if the convex hull of certain control actions (in the chosen finite set) contains the origin in its interior. Consequently, to construct this stabilizing feedback, it suffices to have, in addition to a zero symbol, another m + 1 elements in the control set which form an m-simplex in R^m (the input, and output space).

Original language	English
Title of host publication	11th IFAC Symposium on Nonlinear Control Systems
Publisher	IFAC
Pages	460-465
Number of pages	6
DOIs	https://doi.org/10.1016/j.ifacol.2019.12.004
Publication status	Published - 2019
Event	11th IFAC Symposium on Nonlinear Control Systems : NOLCOS 2019 - Vienna, Austria Duration: 4-Sept-2019 → 6-Sept-2019

Publication series

Name	IFAC-PapersOnLine
Publisher	Elsevier
Number	16
Volume	52
ISSN (Print)	2405-8963

Conference

Conference	11th IFAC Symposium on Nonlinear Control Systems
Country/Territory	Austria
City	Vienna
Period	04/09/2019 → 06/09/2019

Keywords

Nonlinear passive systems
Finite control set
Output feedback
Binary control

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10.1016/j.ifacol.2019.12.004

Practical Stabilization of Passive NonlinearSystems with Limited ControlSubmitted manuscript, 636 KBLicence: Unspecified
PracticalStabilizationofPassiveNonlinearSystemswithLimitedControlFinal publisher's version, 678 KBLicence: Taverne

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@inproceedings{804eb162cfbc431792cfbcd94711b60b,

title = "Practical Stabilization of Passive Nonlinear Systems with Limited Control",

abstract = "This article addresses output feedback stabilization of continuous-time nonlinear systems by choosing control actions from a finite set. Working under the assumption that the system under consideration is passive and large-time norm observable, we propose a static feedback mapping, from the output space to the finite set of control actions, which is shown to be practically stabilizing if the convex hull of certain control actions (in the chosen finite set) contains the origin in its interior. Consequently, to construct this stabilizing feedback, it suffices to have, in addition to a zero symbol, another m + 1 elements in the control set which form an m-simplex in R\textasciicircum{}m (the input, and output space).",

keywords = "Nonlinear passive systems, Finite control set, Output feedback, Binary control",

author = "Bayu Jayawardhana and \{Muhammad Zaki Almuzakki\}, M. and Aneel Tanwani",

year = "2019",

doi = "10.1016/j.ifacol.2019.12.004",

language = "English",

series = "IFAC-PapersOnLine",

publisher = "IFAC",

number = "16",

pages = "460--465",

booktitle = "11th IFAC Symposium on Nonlinear Control Systems",

note = "11th IFAC Symposium on Nonlinear Control Systems <br/> : NOLCOS 2019 ; Conference date: 04-09-2019 Through 06-09-2019",

}

Jayawardhana, B, Muhammad Zaki Almuzakki, M & Tanwani, A 2019, Practical Stabilization of Passive Nonlinear Systems with Limited Control. in 11th IFAC Symposium on Nonlinear Control Systems. IFAC-PapersOnLine, no. 16, vol. 52, IFAC, pp. 460-465, 11th IFAC Symposium on Nonlinear Control Systems
, Vienna, Austria, 04/09/2019. https://doi.org/10.1016/j.ifacol.2019.12.004

Practical Stabilization of Passive Nonlinear Systems with Limited Control. / Jayawardhana, Bayu; Muhammad Zaki Almuzakki, M.; Tanwani, Aneel.
11th IFAC Symposium on Nonlinear Control Systems. IFAC, 2019. p. 460-465 (IFAC-PapersOnLine; Vol. 52, No. 16).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Practical Stabilization of Passive Nonlinear Systems with Limited Control

AU - Jayawardhana, Bayu

AU - Muhammad Zaki Almuzakki, M.

AU - Tanwani, Aneel

PY - 2019

Y1 - 2019

N2 - This article addresses output feedback stabilization of continuous-time nonlinear systems by choosing control actions from a finite set. Working under the assumption that the system under consideration is passive and large-time norm observable, we propose a static feedback mapping, from the output space to the finite set of control actions, which is shown to be practically stabilizing if the convex hull of certain control actions (in the chosen finite set) contains the origin in its interior. Consequently, to construct this stabilizing feedback, it suffices to have, in addition to a zero symbol, another m + 1 elements in the control set which form an m-simplex in R^m (the input, and output space).

AB - This article addresses output feedback stabilization of continuous-time nonlinear systems by choosing control actions from a finite set. Working under the assumption that the system under consideration is passive and large-time norm observable, we propose a static feedback mapping, from the output space to the finite set of control actions, which is shown to be practically stabilizing if the convex hull of certain control actions (in the chosen finite set) contains the origin in its interior. Consequently, to construct this stabilizing feedback, it suffices to have, in addition to a zero symbol, another m + 1 elements in the control set which form an m-simplex in R^m (the input, and output space).

KW - Nonlinear passive systems

KW - Finite control set

KW - Output feedback

KW - Binary control

U2 - 10.1016/j.ifacol.2019.12.004

DO - 10.1016/j.ifacol.2019.12.004

M3 - Conference contribution

T3 - IFAC-PapersOnLine

SP - 460

EP - 465

BT - 11th IFAC Symposium on Nonlinear Control Systems

PB - IFAC

T2 - 11th IFAC Symposium on Nonlinear Control Systems <br/>

Y2 - 4 September 2019 through 6 September 2019

ER -

Practical Stabilization of Passive Nonlinear Systems with Limited Control

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