A Switching Controller for a Class of MIMO Bilinear Systems with Time Delay

Tonametl Sanchez*, Andrey Polyakov, Emilia Fridman, Laurentiu Hetel

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

In this paper, we propose a state-dependent switching controller for multiple-input multiple-output (MIMO) bilinear systems with constant delays in both the state and the input. The control input is assumed to be restricted to take only a finite number of values. The stability analysis of the closed loop is based on a Lyapunov-Krasovskii functional, and the design is reduced to solve a system of linear matrix inequalities. The controller can be designed by considering (state) delay-dependent or delay-independent conditions.

Original languageEnglish
Article number8827924
Pages (from-to)2250-2256
Number of pages7
JournalIEEE Transactions on Automatic Control
Volume65
Issue number5
DOIs
StatePublished - May 2020

Funding

FundersFunder number
European Commission
Agence Nationale de la RechercheANR-18-CE40-0008
Ministry of Education and Science of the Russian Federation
Israel Science Foundation1128/14
Ministère de l'Education Nationale, de l'Enseignement Superieur et de la Recherche
Centre National de la Recherche Scientifique
Government Council on Grants, Russian Federation08-08
Conseil Régional Hauts-de-France

    Keywords

    • Bilinear systems
    • switched control
    • time-delay systems

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