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

Tonametl Sanchez; Andrey Polyakov; Emilia Fridman; Laurentiu Hetel

doi:https://doi.org/10.1109/TAC.2019.2940548

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

Tonametl Sanchez, Andrey Polyakov, Emilia Fridman, Laurentiu Hetel

School of Electrical Engineering

Tel Aviv University

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

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 language	English
Article number	8827924
Pages (from-to)	2250-2256
Number of pages	7
Journal	IEEE Transactions on Automatic Control
Volume	65
Issue number	5
DOIs	https://doi.org/10.1109/TAC.2019.2940548
State	Published - May 2020

Keywords

Bilinear systems
switched control
time-delay systems

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

Access to Document

https://doi.org/10.1109/TAC.2019.2940548

Cite this

@article{8343cd6d9bac449a861181360b54755b,

title = "A Switching Controller for a Class of MIMO Bilinear Systems with Time Delay",

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.",

keywords = "Bilinear systems, switched control, time-delay systems",

author = "Tonametl Sanchez and Andrey Polyakov and Emilia Fridman and Laurentiu Hetel",

note = "Publisher Copyright: {\textcopyright} 2020 IEEE.",

year = "2020",

month = may,

doi = "https://doi.org/10.1109/TAC.2019.2940548",

language = "الإنجليزيّة",

volume = "65",

pages = "2250--2256",

journal = "IEEE Transactions on Automatic Control",

issn = "0018-9286",

number = "5",

}

TY - JOUR

T1 - A Switching Controller for a Class of MIMO Bilinear Systems with Time Delay

AU - Sanchez, Tonametl

AU - Polyakov, Andrey

AU - Fridman, Emilia

AU - Hetel, Laurentiu

PY - 2020/5

Y1 - 2020/5

N2 - 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.

AB - 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.

KW - Bilinear systems

KW - switched control

KW - time-delay systems

UR - http://www.scopus.com/inward/record.url?scp=85072529027&partnerID=8YFLogxK

U2 - https://doi.org/10.1109/TAC.2019.2940548

DO - https://doi.org/10.1109/TAC.2019.2940548

M3 - مقالة

SN - 0018-9286

VL - 65

SP - 2250

EP - 2256

JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 5

M1 - 8827924

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this