H∞ sliding mode control of discrete switched systems with time-varying delays

Yueqiao Han; Yonggui Kao; Cunchen Gao; Jingjing Zhao; Changhong Wang

doi:10.1016/j.isatra.2018.12.018

H_∞ sliding mode control of discrete switched systems with time-varying delays

Yueqiao Han
, Yonggui Kao^*
, Cunchen Gao
, Jingjing Zhao
, Changhong Wang

^*Corresponding author for this work

School of Astronautics

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

23 Scopus citations

Abstract

The finite-time boundedness issue for a class of discrete switched systems with time-varying delays is investigated via sliding mode control (SMC) approach. By employing the Lyapunov functional and average dwell time method, new sufficient conditions are derived to guarantee the finite-time boundedness of the dynamic system in the novel sliding surface. By solving an optimization problem, the sliding mode controller is synthesized such that the discrete reaching condition is satisfied and the chattering is reduced. A simulation example tests the feasibility of the provided SMC scheme.

Original language	English
Pages (from-to)	12-19
Number of pages	8
Journal	ISA Transactions
Volume	89
DOIs	https://doi.org/10.1016/j.isatra.2018.12.018
State	Published - Jun 2019

Keywords

Average dwell time
Discrete switched systems
Finite-time boundedness
Sliding mode control
Time-varying delays

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10.1016/j.isatra.2018.12.018

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title = "H∞ sliding mode control of discrete switched systems with time-varying delays",

abstract = "The finite-time boundedness issue for a class of discrete switched systems with time-varying delays is investigated via sliding mode control (SMC) approach. By employing the Lyapunov functional and average dwell time method, new sufficient conditions are derived to guarantee the finite-time boundedness of the dynamic system in the novel sliding surface. By solving an optimization problem, the sliding mode controller is synthesized such that the discrete reaching condition is satisfied and the chattering is reduced. A simulation example tests the feasibility of the provided SMC scheme.",

keywords = "Average dwell time, Discrete switched systems, Finite-time boundedness, Sliding mode control, Time-varying delays",

author = "Yueqiao Han and Yonggui Kao and Cunchen Gao and Jingjing Zhao and Changhong Wang",

note = "Publisher Copyright: {\textcopyright} 2018 ISA",

year = "2019",

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doi = "10.1016/j.isatra.2018.12.018",

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T1 - H∞ sliding mode control of discrete switched systems with time-varying delays

AU - Han, Yueqiao

AU - Kao, Yonggui

AU - Gao, Cunchen

AU - Zhao, Jingjing

AU - Wang, Changhong

PY - 2019/6

Y1 - 2019/6

N2 - The finite-time boundedness issue for a class of discrete switched systems with time-varying delays is investigated via sliding mode control (SMC) approach. By employing the Lyapunov functional and average dwell time method, new sufficient conditions are derived to guarantee the finite-time boundedness of the dynamic system in the novel sliding surface. By solving an optimization problem, the sliding mode controller is synthesized such that the discrete reaching condition is satisfied and the chattering is reduced. A simulation example tests the feasibility of the provided SMC scheme.

AB - The finite-time boundedness issue for a class of discrete switched systems with time-varying delays is investigated via sliding mode control (SMC) approach. By employing the Lyapunov functional and average dwell time method, new sufficient conditions are derived to guarantee the finite-time boundedness of the dynamic system in the novel sliding surface. By solving an optimization problem, the sliding mode controller is synthesized such that the discrete reaching condition is satisfied and the chattering is reduced. A simulation example tests the feasibility of the provided SMC scheme.

KW - Average dwell time

KW - Discrete switched systems

KW - Finite-time boundedness

KW - Sliding mode control

KW - Time-varying delays

UR - https://www.scopus.com/pages/publications/85059120038

U2 - 10.1016/j.isatra.2018.12.018

DO - 10.1016/j.isatra.2018.12.018

M3 - 文章

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AN - SCOPUS:85059120038

SN - 0019-0578

VL - 89

SP - 12

EP - 19

JO - ISA Transactions

JF - ISA Transactions

ER -

H_∞ sliding mode control of discrete switched systems with time-varying delays

Abstract

Keywords

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