A reference governor for linear systems with polynomial constraints

Laurent Burlion; Rick Schieni; Ilya V. Kolmanovsky

doi:10.1016/j.automatica.2022.110313

A reference governor for linear systems with polynomial constraints

Laurent Burlion, Rick Schieni, Ilya V. Kolmanovsky

School of Engineering, Mechanical & Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples.

Original language	English (US)
Article number	110313
Journal	Automatica
Volume	142
DOIs	https://doi.org/10.1016/j.automatica.2022.110313
State	Published - Aug 2022

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Electrical and Electronic Engineering

Keywords

Control of constrained systems
Nonlinear systems
Polynomial methods
Reference governors

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10.1016/j.automatica.2022.110313

Cite this

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title = "A reference governor for linear systems with polynomial constraints",

abstract = "The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples.",

keywords = "Control of constrained systems, Nonlinear systems, Polynomial methods, Reference governors",

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year = "2022",

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AU - Schieni, Rick

AU - Kolmanovsky, Ilya V.

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N2 - The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples.

AB - The paper considers reference governor design for a class of linear discrete-time systems with constraints given by polynomial inequalities and constant reference commands. For such systems, we propose a novel algorithm to compute the maximal output admissible set. The reference governor solves a constrained nonlinear minimization problem at the initialization and then uses a bisection algorithm at the subsequent time steps. The effectiveness of the method is demonstrated by two numerical examples.

KW - Control of constrained systems

KW - Nonlinear systems

KW - Polynomial methods

KW - Reference governors

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ER -

A reference governor for linear systems with polynomial constraints

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

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