Stabilizing controller design for state-based switching bilinear systems

Shu Lin; Bart De Schutter; Dewei Li

doi:10.1109/CDC.2018.8618956

Stabilizing controller design for state-based switching bilinear systems

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

Abstract

In this paper, controllers are designed for stabilizing state-based switching bilinear systems. The controller is designed based on the special features of bilinear systems comparing with linear systems, and is carried out through three steps: first, deriving the state-based switching linear system corresponding to the switching bilinear system; then, state-feedback controllers are designed to asymptotically stabilize the corresponding switching linear system; finally, stabilizing controllers are obtained for the original system, the switching bilinear system. The stability of the controller is proved step by step through the decreasing of the overall Lyapunov function.

Original language	English
Title of host publication	Proceedings of the 57th IEEE Conference on Decision and Control (CDC 2018)
Place of Publication	Piscataway, NJ, USA
Publisher	IEEE
Pages	6452-6457
ISBN (Print)	978-1-5386-1395-5
DOIs	https://doi.org/10.1109/CDC.2018.8618956
Publication status	Published - 2018
Event	CDC 2018: 57th IEEE Conference on Decision and Control - Miami, United States Duration: 17 Dec 2018 → 19 Dec 2018

Conference

Conference	CDC 2018: 57th IEEE Conference on Decision and Control
Country/Territory	United States
City	Miami
Period	17/12/18 → 19/12/18

Keywords

Nonlinear systems
Switches
Linear systems
Lyapunov methods
Power system stability
Aerospace electronics

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10.1109/CDC.2018.8618956

Cite this

@inproceedings{1a3cff0397644873b89c7dfa8df6751f,

title = "Stabilizing controller design for state-based switching bilinear systems",

abstract = "In this paper, controllers are designed for stabilizing state-based switching bilinear systems. The controller is designed based on the special features of bilinear systems comparing with linear systems, and is carried out through three steps: first, deriving the state-based switching linear system corresponding to the switching bilinear system; then, state-feedback controllers are designed to asymptotically stabilize the corresponding switching linear system; finally, stabilizing controllers are obtained for the original system, the switching bilinear system. The stability of the controller is proved step by step through the decreasing of the overall Lyapunov function.",

keywords = "Nonlinear systems, Switches, Linear systems, Lyapunov methods, Power system stability, Aerospace electronics",

author = "Shu Lin and {De Schutter}, Bart and Dewei Li",

year = "2018",

doi = "10.1109/CDC.2018.8618956",

language = "English",

isbn = "978-1-5386-1395-5",

pages = "6452--6457",

booktitle = "Proceedings of the 57th IEEE Conference on Decision and Control (CDC 2018)",

publisher = "IEEE",

address = "United States",

note = "CDC 2018: 57th IEEE Conference on Decision and Control ; Conference date: 17-12-2018 Through 19-12-2018",

}

TY - GEN

T1 - Stabilizing controller design for state-based switching bilinear systems

AU - Lin, Shu

AU - De Schutter, Bart

AU - Li, Dewei

PY - 2018

Y1 - 2018

N2 - In this paper, controllers are designed for stabilizing state-based switching bilinear systems. The controller is designed based on the special features of bilinear systems comparing with linear systems, and is carried out through three steps: first, deriving the state-based switching linear system corresponding to the switching bilinear system; then, state-feedback controllers are designed to asymptotically stabilize the corresponding switching linear system; finally, stabilizing controllers are obtained for the original system, the switching bilinear system. The stability of the controller is proved step by step through the decreasing of the overall Lyapunov function.

AB - In this paper, controllers are designed for stabilizing state-based switching bilinear systems. The controller is designed based on the special features of bilinear systems comparing with linear systems, and is carried out through three steps: first, deriving the state-based switching linear system corresponding to the switching bilinear system; then, state-feedback controllers are designed to asymptotically stabilize the corresponding switching linear system; finally, stabilizing controllers are obtained for the original system, the switching bilinear system. The stability of the controller is proved step by step through the decreasing of the overall Lyapunov function.

KW - Nonlinear systems

KW - Switches

KW - Linear systems

KW - Lyapunov methods

KW - Power system stability

KW - Aerospace electronics

U2 - 10.1109/CDC.2018.8618956

DO - 10.1109/CDC.2018.8618956

M3 - Conference contribution

SN - 978-1-5386-1395-5

SP - 6452

EP - 6457

BT - Proceedings of the 57th IEEE Conference on Decision and Control (CDC 2018)

PB - IEEE

CY - Piscataway, NJ, USA

T2 - CDC 2018: 57th IEEE Conference on Decision and Control

Y2 - 17 December 2018 through 19 December 2018

ER -

Stabilizing controller design for state-based switching bilinear systems

Abstract

Conference

Keywords

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