Stability analysis and control of bilinear discrete-time systems: A dual approach

N. Athanasopoulos; G. Bitsoris

doi:10.3182/20110828-6-IT-1002.03485

Stability analysis and control of bilinear discrete-time systems: A dual approach

N. Athanasopoulos, G. Bitsoris

Control Systems

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

8 Citations (Scopus)

Abstract

In this article, the stabilization problem of discrete-time bilinear systems by state-feedback control is investigated. First, necessary and sufficient conditions guaranteeing positive invariance or/and attractivity of polyhedral sets of general form with respect to quadratic systems are provided. These results are then used to establish systematic methods of determining linear and nonlinear state feedback control laws making a prespecified polyhedral set a domain of attraction with respect to the resulting closed-loop system, even in the presence of input constraints.

Original language	English
Title of host publication	Proceedings of the 18th IFAC World Congress, August 28-September 2, 2011, Milan, Italy
Pages	6443-6448
DOIs	https://doi.org/10.3182/20110828-6-IT-1002.03485
Publication status	Published - 2011

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title = "Stability analysis and control of bilinear discrete-time systems: A dual approach",

abstract = "In this article, the stabilization problem of discrete-time bilinear systems by state-feedback control is investigated. First, necessary and sufficient conditions guaranteeing positive invariance or/and attractivity of polyhedral sets of general form with respect to quadratic systems are provided. These results are then used to establish systematic methods of determining linear and nonlinear state feedback control laws making a prespecified polyhedral set a domain of attraction with respect to the resulting closed-loop system, even in the presence of input constraints.",

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AB - In this article, the stabilization problem of discrete-time bilinear systems by state-feedback control is investigated. First, necessary and sufficient conditions guaranteeing positive invariance or/and attractivity of polyhedral sets of general form with respect to quadratic systems are provided. These results are then used to establish systematic methods of determining linear and nonlinear state feedback control laws making a prespecified polyhedral set a domain of attraction with respect to the resulting closed-loop system, even in the presence of input constraints.

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DO - 10.3182/20110828-6-IT-1002.03485

M3 - Conference contribution

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EP - 6448

BT - Proceedings of the 18th IFAC World Congress, August 28-September 2, 2011, Milan, Italy

ER -

Stability analysis and control of bilinear discrete-time systems: A dual approach

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