Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions

G. Bitsoris; N. Athanasopoulos

doi:10.3182/20080706-5-KR-1001.00422

Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions

G. Bitsoris, N. Athanasopoulos

Control Systems

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

Abstract

In this paper, the stabilization problem of discrete-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to nonlinear systems with second order polynomial nonlinearity are established. Then these results are used for the determination of linear state-feedback unconstrained and constrained control laws making a prespecified polyhedral set a domain of attraction of the resulting closed-loop system.

Original language	English
Title of host publication	Proceedings of the 17th IFAC World Congress (IFAC'08) July 11-16, 2008, Seoul, Korea
Place of Publication	Seoul
Publisher	International Federation of Automatic Control
Pages	2502-2507
DOIs	https://doi.org/10.3182/20080706-5-KR-1001.00422
Publication status	Published - 2008

Access to Document

10.3182/20080706-5-KR-1001.00422

Cite this

@inproceedings{c7193e934dd24051996a58596dce9720,

title = "Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions",

abstract = "In this paper, the stabilization problem of discrete-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to nonlinear systems with second order polynomial nonlinearity are established. Then these results are used for the determination of linear state-feedback unconstrained and constrained control laws making a prespecified polyhedral set a domain of attraction of the resulting closed-loop system.",

author = "G. Bitsoris and N. Athanasopoulos",

year = "2008",

doi = "10.3182/20080706-5-KR-1001.00422",

language = "English",

pages = "2502--2507",

booktitle = "Proceedings of the 17th IFAC World Congress (IFAC'08) July 11-16, 2008, Seoul, Korea",

publisher = "International Federation of Automatic Control",

}

Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions. / Bitsoris, G.; Athanasopoulos, N.
Proceedings of the 17th IFAC World Congress (IFAC'08) July 11-16, 2008, Seoul, Korea. Seoul: International Federation of Automatic Control, 2008. p. 2502-2507.

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

TY - GEN

T1 - Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions

AU - Bitsoris, G.

AU - Athanasopoulos, N.

PY - 2008

Y1 - 2008

N2 - In this paper, the stabilization problem of discrete-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to nonlinear systems with second order polynomial nonlinearity are established. Then these results are used for the determination of linear state-feedback unconstrained and constrained control laws making a prespecified polyhedral set a domain of attraction of the resulting closed-loop system.

AB - In this paper, the stabilization problem of discrete-time bilinear systems by linear state-feedback control is investigated. First, conditions guaranteeing the positive invariance of polyhedral sets with respect to nonlinear systems with second order polynomial nonlinearity are established. Then these results are used for the determination of linear state-feedback unconstrained and constrained control laws making a prespecified polyhedral set a domain of attraction of the resulting closed-loop system.

U2 - 10.3182/20080706-5-KR-1001.00422

DO - 10.3182/20080706-5-KR-1001.00422

M3 - Conference contribution

SP - 2502

EP - 2507

BT - Proceedings of the 17th IFAC World Congress (IFAC'08) July 11-16, 2008, Seoul, Korea

PB - International Federation of Automatic Control

CY - Seoul

ER -

Constrained stabilization of bilinear discrete-time systems using polyhedral Lyapunov functions

Abstract

Access to Document

Fingerprint

Cite this