Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time

Bo Wang; Hongbin Zhang; Gang Wang; Chuangyin Dang; Sijun Zhong

doi:10.1016/j.isatra.2013.11.019

Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time

Bo Wang, Hongbin Zhang, Gang Wang, Chuangyin Dang, Sijun Zhong

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

49 Citations (Scopus)

Abstract

This paper mainly studies the asynchronous control problem for a class of discrete-time impulsive switched systems, where "asynchronous" means the switching of the controllers has a lag to the switching of system modes. By using multiple Lyapunov functions (MLFs), the much looser asymptotic stability result of closed-loop systems is derived with a mode-dependent average dwell time (MDADT) technique. Based on the stability result obtained, the problem of asynchronous control is solved under a proper switching law. Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained stability results. © 2013 ISA.

Original language	English
Pages (from-to)	367-372
Journal	ISA Transactions
Volume	53
Issue number	2
Online published	22 Dec 2013
DOIs	https://doi.org/10.1016/j.isatra.2013.11.019
Publication status	Published - Mar 2014

Research Keywords

Asymptotic stability
Asynchronous control
Mode-dependent average dwell time

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10.1016/j.isatra.2013.11.019

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title = "Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time",

abstract = "This paper mainly studies the asynchronous control problem for a class of discrete-time impulsive switched systems, where {"}asynchronous{"} means the switching of the controllers has a lag to the switching of system modes. By using multiple Lyapunov functions (MLFs), the much looser asymptotic stability result of closed-loop systems is derived with a mode-dependent average dwell time (MDADT) technique. Based on the stability result obtained, the problem of asynchronous control is solved under a proper switching law. Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained stability results. {\textcopyright} 2013 ISA.",

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author = "Bo Wang and Hongbin Zhang and Gang Wang and Chuangyin Dang and Sijun Zhong",

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T1 - Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time

AU - Wang, Bo

AU - Zhang, Hongbin

AU - Wang, Gang

AU - Dang, Chuangyin

AU - Zhong, Sijun

PY - 2014/3

Y1 - 2014/3

N2 - This paper mainly studies the asynchronous control problem for a class of discrete-time impulsive switched systems, where "asynchronous" means the switching of the controllers has a lag to the switching of system modes. By using multiple Lyapunov functions (MLFs), the much looser asymptotic stability result of closed-loop systems is derived with a mode-dependent average dwell time (MDADT) technique. Based on the stability result obtained, the problem of asynchronous control is solved under a proper switching law. Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained stability results. © 2013 ISA.

AB - This paper mainly studies the asynchronous control problem for a class of discrete-time impulsive switched systems, where "asynchronous" means the switching of the controllers has a lag to the switching of system modes. By using multiple Lyapunov functions (MLFs), the much looser asymptotic stability result of closed-loop systems is derived with a mode-dependent average dwell time (MDADT) technique. Based on the stability result obtained, the problem of asynchronous control is solved under a proper switching law. Moreover, the stability and stabilization results are formulated in form of matrix inequalities that are numerically feasible. Finally, an illustrative numerical example is presented to show the effectiveness of the obtained stability results. © 2013 ISA.

KW - Asymptotic stability

KW - Asynchronous control

KW - Mode-dependent average dwell time

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U2 - 10.1016/j.isatra.2013.11.019

DO - 10.1016/j.isatra.2013.11.019

M3 - RGC 21 - Publication in refereed journal

SN - 0019-0578

VL - 53

SP - 367

EP - 372

JO - ISA Transactions

JF - ISA Transactions

IS - 2

ER -

Asynchronous control of discrete-time impulsive switched systems with mode-dependent average dwell time

Abstract

Research Keywords

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