Discrete-time supervisory control of input-constrained neutrally stable linear systems via state-dependent dwell-time switching

Jung Su Kim; Tae Woong Yoon; Claudio De Persis

doi:10.1016/j.sysconle.2007.01.003

Discrete-time supervisory control of input-constrained neutrally stable linear systems via state-dependent dwell-time switching

Jung Su Kim, Tae Woong Yoon, Claudio De Persis

School of Electrical Engineering

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

9 Citations (Scopus)

Abstract

This paper presents a discrete-time supervisory control scheme for an input-constrained neutrally stable linear plant in the presence of modelling uncertainties. The small gain control is employed as the multi-controller, and is shown to stabilize the plant in the sense of integral-input-to-state stability. As the switching logic, a state-dependent dwell-time switching is employed. The proposed supervisory control guarantees that all signals in the closed loop are bounded and the state of the uncertain plant converges to the origin.

Original language	English
Pages (from-to)	484-492
Number of pages	9
Journal	Systems and Control Letters
Volume	56
Issue number	7-8
DOIs	https://doi.org/10.1016/j.sysconle.2007.01.003
Publication status	Published - 2007 Jul

Bibliographical note

Funding Information:
This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF- 2006-214-D00052).

Keywords

Dwell time
IISS
Input constraint
Switching adaptive control

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science(all)
Mechanical Engineering
Electrical and Electronic Engineering

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10.1016/j.sysconle.2007.01.003

Cite this

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title = "Discrete-time supervisory control of input-constrained neutrally stable linear systems via state-dependent dwell-time switching",

abstract = "This paper presents a discrete-time supervisory control scheme for an input-constrained neutrally stable linear plant in the presence of modelling uncertainties. The small gain control is employed as the multi-controller, and is shown to stabilize the plant in the sense of integral-input-to-state stability. As the switching logic, a state-dependent dwell-time switching is employed. The proposed supervisory control guarantees that all signals in the closed loop are bounded and the state of the uncertain plant converges to the origin.",

keywords = "Dwell time, IISS, Input constraint, Switching adaptive control",

author = "Kim, {Jung Su} and Yoon, {Tae Woong} and {De Persis}, Claudio",

note = "Funding Information: This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF- 2006-214-D00052). ",

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AU - Kim, Jung Su

AU - Yoon, Tae Woong

AU - De Persis, Claudio

N1 - Funding Information: This work was supported by the Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (KRF- 2006-214-D00052).

PY - 2007/7

Y1 - 2007/7

N2 - This paper presents a discrete-time supervisory control scheme for an input-constrained neutrally stable linear plant in the presence of modelling uncertainties. The small gain control is employed as the multi-controller, and is shown to stabilize the plant in the sense of integral-input-to-state stability. As the switching logic, a state-dependent dwell-time switching is employed. The proposed supervisory control guarantees that all signals in the closed loop are bounded and the state of the uncertain plant converges to the origin.

AB - This paper presents a discrete-time supervisory control scheme for an input-constrained neutrally stable linear plant in the presence of modelling uncertainties. The small gain control is employed as the multi-controller, and is shown to stabilize the plant in the sense of integral-input-to-state stability. As the switching logic, a state-dependent dwell-time switching is employed. The proposed supervisory control guarantees that all signals in the closed loop are bounded and the state of the uncertain plant converges to the origin.

KW - Dwell time

KW - IISS

KW - Input constraint

KW - Switching adaptive control

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M3 - Article

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SN - 0167-6911

VL - 56

SP - 484

EP - 492

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 7-8

ER -

Discrete-time supervisory control of input-constrained neutrally stable linear systems via state-dependent dwell-time switching

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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