Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

20 Citations (Scopus)
64 Downloads (Pure)

Abstract

In the problem of input-to-state stabilization of nonlinear systems, synthesis of input-to-state stabilizing feedback laws is usually carried out off-line. This results in a constant input-to-state stability (ISS) gain, which is guaranteed for the closed-loop system. As an alternative, we propose a finite dimensional optimization problem that allows for the simultaneous on-line computation of an ISS control action, and minimization of the ISS gain of the closed-loop system. The advantages of the developed controller are: ISS is guaranteed for any (feasible) solution of the optimization problem, constraints can be explicitly accounted for and feedback to disturbances is provided actively, on-line. The control scheme also has favorable computational properties for nonlinear systems affine in control. In this case the optimization problem can be formulated as a single quadratic or linear program
Original languageEnglish
Title of host publication2008 American Control Conference : Seattle, WA, 11 - 13 June 2008
Place of PublicationPiscataway
PublisherInstitute of Electrical and Electronics Engineers
Pages2310-2315
ISBN (Print)978-1-4244-2078-0
DOIs
Publication statusPublished - 2008

Fingerprint

Nonlinear systems
Stabilization
Closed loop systems
Feedback
Controllers

Cite this

Lazar, M., & Heemels, W. P. M. H. (2008). Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs. In 2008 American Control Conference : Seattle, WA, 11 - 13 June 2008 (pp. 2310-2315). Piscataway: Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ACC.2008.4586836
Lazar, M. ; Heemels, W.P.M.H. / Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs. 2008 American Control Conference : Seattle, WA, 11 - 13 June 2008. Piscataway : Institute of Electrical and Electronics Engineers, 2008. pp. 2310-2315
@inproceedings{a914db8c338c4aae9f09d90f849584f4,
title = "Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs",
abstract = "In the problem of input-to-state stabilization of nonlinear systems, synthesis of input-to-state stabilizing feedback laws is usually carried out off-line. This results in a constant input-to-state stability (ISS) gain, which is guaranteed for the closed-loop system. As an alternative, we propose a finite dimensional optimization problem that allows for the simultaneous on-line computation of an ISS control action, and minimization of the ISS gain of the closed-loop system. The advantages of the developed controller are: ISS is guaranteed for any (feasible) solution of the optimization problem, constraints can be explicitly accounted for and feedback to disturbances is provided actively, on-line. The control scheme also has favorable computational properties for nonlinear systems affine in control. In this case the optimization problem can be formulated as a single quadratic or linear program",
author = "M. Lazar and W.P.M.H. Heemels",
year = "2008",
doi = "10.1109/ACC.2008.4586836",
language = "English",
isbn = "978-1-4244-2078-0",
pages = "2310--2315",
booktitle = "2008 American Control Conference : Seattle, WA, 11 - 13 June 2008",
publisher = "Institute of Electrical and Electronics Engineers",
address = "United States",

}

Lazar, M & Heemels, WPMH 2008, Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs. in 2008 American Control Conference : Seattle, WA, 11 - 13 June 2008. Institute of Electrical and Electronics Engineers, Piscataway, pp. 2310-2315. https://doi.org/10.1109/ACC.2008.4586836

Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs. / Lazar, M.; Heemels, W.P.M.H.

2008 American Control Conference : Seattle, WA, 11 - 13 June 2008. Piscataway : Institute of Electrical and Electronics Engineers, 2008. p. 2310-2315.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs

AU - Lazar, M.

AU - Heemels, W.P.M.H.

PY - 2008

Y1 - 2008

N2 - In the problem of input-to-state stabilization of nonlinear systems, synthesis of input-to-state stabilizing feedback laws is usually carried out off-line. This results in a constant input-to-state stability (ISS) gain, which is guaranteed for the closed-loop system. As an alternative, we propose a finite dimensional optimization problem that allows for the simultaneous on-line computation of an ISS control action, and minimization of the ISS gain of the closed-loop system. The advantages of the developed controller are: ISS is guaranteed for any (feasible) solution of the optimization problem, constraints can be explicitly accounted for and feedback to disturbances is provided actively, on-line. The control scheme also has favorable computational properties for nonlinear systems affine in control. In this case the optimization problem can be formulated as a single quadratic or linear program

AB - In the problem of input-to-state stabilization of nonlinear systems, synthesis of input-to-state stabilizing feedback laws is usually carried out off-line. This results in a constant input-to-state stability (ISS) gain, which is guaranteed for the closed-loop system. As an alternative, we propose a finite dimensional optimization problem that allows for the simultaneous on-line computation of an ISS control action, and minimization of the ISS gain of the closed-loop system. The advantages of the developed controller are: ISS is guaranteed for any (feasible) solution of the optimization problem, constraints can be explicitly accounted for and feedback to disturbances is provided actively, on-line. The control scheme also has favorable computational properties for nonlinear systems affine in control. In this case the optimization problem can be formulated as a single quadratic or linear program

U2 - 10.1109/ACC.2008.4586836

DO - 10.1109/ACC.2008.4586836

M3 - Conference contribution

SN - 978-1-4244-2078-0

SP - 2310

EP - 2315

BT - 2008 American Control Conference : Seattle, WA, 11 - 13 June 2008

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

ER -

Lazar M, Heemels WPMH. Optimized input-to-state stabilization of discrete-time nonlinear systems with bounded inputs. In 2008 American Control Conference : Seattle, WA, 11 - 13 June 2008. Piscataway: Institute of Electrical and Electronics Engineers. 2008. p. 2310-2315 https://doi.org/10.1109/ACC.2008.4586836