Active TimeDelay Control of Networked Control Systems With Aperiodic Sampling: a Stochastic Impulsive Switched System Approach

HE Yanjun; MA Weiwei; CHI Xiaobo

doi:10.21656/1000-0887.410213

Volume 42 Issue 4

Apr. 2021

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Article Navigation > Applied Mathematics and Mechanics > 2021 > 42(4): 422-430

HE Yanjun, MA Weiwei, CHI Xiaobo. Active TimeDelay Control of Networked Control Systems With Aperiodic Sampling: a Stochastic Impulsive Switched System Approach[J]. Applied Mathematics and Mechanics, 2021, 42(4): 422-430. doi: 10.21656/1000-0887.410213

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Active TimeDelay Control of Networked Control Systems With Aperiodic Sampling: a Stochastic Impulsive Switched System Approach

doi: 10.21656/1000-0887.410213

¹School of Statistics , Shanxi University of Finance and Economics,Taiyuan 030006, P.R.China
²School of Applied Mathematics, Shanxi University of Finance and Economics,Taiyuan 030006, P.R.China
³School of Mathematical Sciences, Shanxi University, Taiyuan 030006, P.R.China

Funds: The National Natural Science Foundation of China（61803244）

Received Date: 2020-07-15
Rev Recd Date: 2020-12-24
Publish Date: 2021-04-01

Abstract

Abstract

The stabilization problem for a class of networked control systems with aperiodic sampling and stochastic packet dropouts was studied. Other than the traditional view that a time delay was often a negative factor of system stability, the positive effect was considered and a novel active timedelay control method was proposed to stabilize the systems. To analyze the positive effects of the time delay control and to obtain some less conservative conclusions, the aperiodic sampleddata system with stochastic packet dropouts was firstly modeled as a stochastic impulsive switched system with a fixed switching law. Then a new separation lemma was presented in a mean square sense to analyze the stability of the stochastic impulsive switched system. Based on the loopfunctional method and the proposed separation lemma, the mean square stability criterion for the stochastic impulsive switched system was obtained in terms of linear matrix inequalities. Furthermore, the refined mean square stability criterion was given with an interval segmentation technique. Finally, a classical numerical example illustrates the validity of the obtained stability criteria and the advantages of the proposed method.
- networked control system,
- aperiodic sampling,
- impulsive switched system,
- stochastic packet dropout,
- time-delay control

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References(20)

References

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