Finite-time control for a class of hybrid systems via quantized intermittent control

This paper considers the finite-time drive-response synchronization of stochastic nonlinear systems consisting of continuous-time and discrete-time subsystems. To save communication resources and reduce control cost, quantized controllers, which only work on continuous-time intervals, are designed....

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Bibliographic Details
Published in:Science China. Information sciences 2020-09, Vol.63 (9), p.192201, Article 192201
Main Authors: Xiong, Xiaolin, Yang, Xinsong, Cao, Jinde, Tang, Rongqiang
Format: Article
Language:English
Subjects:
Communication
Computer Science
Control systems
Control theory
Hybrid systems
Information Systems and Communication Service
Initial conditions
Nonlinear systems
Research Paper
Science
Settling
Stability analysis
Stochastic systems
Subsystems
Telematics
Time dependence
Time synchronization
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Summary:This paper considers the finite-time drive-response synchronization of stochastic nonlinear systems consisting of continuous-time and discrete-time subsystems. To save communication resources and reduce control cost, quantized controllers, which only work on continuous-time intervals, are designed. Owing to the hybrid characteristics of continuous- and discrete-time subsystems, existing finite-time stability theorems are not applicable. By developing novel analytical techniques, three criteria are derived to guarantee the finite-time synchronization. Moreover, the settling time is explicitly estimated. It is shown that the settling time is dependent not only on the control gains and systems’ initial conditions, but also on the control width and uncontrolled width. Numerical examples demonstrate the effectiveness of the theoretical analysis.
ISSN:1674-733X
1869-1919
DOI:10.1007/s11432-018-2727-5