A Uniform Analysis on Input-to-State Stability of Decentralized Event-Triggered Control Systems

Hao Yu; Fei Hao; Tongwen Chen

doi:10.1109/TAC.2018.2879764

A Uniform Analysis on Input-to-State Stability of Decentralized Event-Triggered Control Systems

Hao Yu
, Fei Hao^*
, Tongwen Chen

^*Corresponding author for this work

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

55 Citations (Scopus)

Abstract

In this paper, the effects of bounded disturbances on decentralized event-triggered control systems are studied. The input-to-state (practical) stability of integral-based event-triggered control systems and dynamic event-triggered control systems is analyzed in a uniform framework by utilizing a new Lyapunov functional approach. An estimation on the upper bound of the input-to-state stability gain is given analytically. First, Zeno behavior is excluded with the time-regularized mechanisms, that is, a prespecified lower bound of inter-event times is introduced. Then, the conditions are presented under which the considered event-triggered control systems ensure Zeno-freeness without time regularization. Finally, a numerical example is given to illustrate the efficiency and feasibility of the proposed results.

Original language	English
Article number	8525349
Pages (from-to)	3423-3430
Number of pages	8
Journal	IEEE Transactions on Automatic Control
Volume	64
Issue number	8
DOIs	https://doi.org/10.1109/TAC.2018.2879764
Publication status	Published - Aug 2019
Externally published	Yes

Keywords

Decentralized control
dynamic event-triggered control
input-to-state stability
integral-based event-triggered control
output feedback

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10.1109/TAC.2018.2879764

Cite this

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title = "A Uniform Analysis on Input-to-State Stability of Decentralized Event-Triggered Control Systems",

abstract = "In this paper, the effects of bounded disturbances on decentralized event-triggered control systems are studied. The input-to-state (practical) stability of integral-based event-triggered control systems and dynamic event-triggered control systems is analyzed in a uniform framework by utilizing a new Lyapunov functional approach. An estimation on the upper bound of the input-to-state stability gain is given analytically. First, Zeno behavior is excluded with the time-regularized mechanisms, that is, a prespecified lower bound of inter-event times is introduced. Then, the conditions are presented under which the considered event-triggered control systems ensure Zeno-freeness without time regularization. Finally, a numerical example is given to illustrate the efficiency and feasibility of the proposed results.",

keywords = "Decentralized control, dynamic event-triggered control, input-to-state stability, integral-based event-triggered control, output feedback",

author = "Hao Yu and Fei Hao and Tongwen Chen",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.",

year = "2019",

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doi = "10.1109/TAC.2018.2879764",

language = "English",

volume = "64",

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AU - Yu, Hao

AU - Hao, Fei

AU - Chen, Tongwen

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Y1 - 2019/8

N2 - In this paper, the effects of bounded disturbances on decentralized event-triggered control systems are studied. The input-to-state (practical) stability of integral-based event-triggered control systems and dynamic event-triggered control systems is analyzed in a uniform framework by utilizing a new Lyapunov functional approach. An estimation on the upper bound of the input-to-state stability gain is given analytically. First, Zeno behavior is excluded with the time-regularized mechanisms, that is, a prespecified lower bound of inter-event times is introduced. Then, the conditions are presented under which the considered event-triggered control systems ensure Zeno-freeness without time regularization. Finally, a numerical example is given to illustrate the efficiency and feasibility of the proposed results.

AB - In this paper, the effects of bounded disturbances on decentralized event-triggered control systems are studied. The input-to-state (practical) stability of integral-based event-triggered control systems and dynamic event-triggered control systems is analyzed in a uniform framework by utilizing a new Lyapunov functional approach. An estimation on the upper bound of the input-to-state stability gain is given analytically. First, Zeno behavior is excluded with the time-regularized mechanisms, that is, a prespecified lower bound of inter-event times is introduced. Then, the conditions are presented under which the considered event-triggered control systems ensure Zeno-freeness without time regularization. Finally, a numerical example is given to illustrate the efficiency and feasibility of the proposed results.

KW - Decentralized control

KW - dynamic event-triggered control

KW - input-to-state stability

KW - integral-based event-triggered control

KW - output feedback

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DO - 10.1109/TAC.2018.2879764

M3 - Article

AN - SCOPUS:85056357323

SN - 0018-9286

VL - 64

SP - 3423

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JO - IEEE Transactions on Automatic Control

JF - IEEE Transactions on Automatic Control

IS - 8

M1 - 8525349

ER -

A Uniform Analysis on Input-to-State Stability of Decentralized Event-Triggered Control Systems

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Keywords

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