Mean-Square Boundedness on an Event-Triggered Control Strategy for Discrete-Time Stochastic Systems with Time-Delay

doi:10.3969/j.issn.0372-2112.2020.03.015

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ACTA ELECTRONICA SINICA ›› 2020, Vol. 48 ›› Issue (3) : 524-530. DOI: 10.3969/j.issn.0372-2112.2020.03.015

Mean-Square Boundedness on an Event-Triggered Control Strategy for Discrete-Time Stochastic Systems with Time-Delay

GAO Yi^1,2, LI Yun-ji², PENG Li²

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Abstract

This paper is concerned with the event-triggered controller and the corresponding event transmission rule for a class of stochastic system subject to state delay. The basic theories are approximate quadratic performance index and mean-square boundedness theory. First, the event-triggered state feedback control scheme constrained by the approximate quadratic performance index is proposed which used the current state and time-delay state simultaneously. Subsequently, an event-triggered output feedback control scheme is established which eliminates the influence of the state-delay terms according to the mean-square boundedness theory. Finally, a numerical example is given to illustrate the effectiveness of the proposed strategies.

Key words

event-triggered control / mean-square boundedness / time delay

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GAO Yi, LI Yun-ji, PENG Li. Mean-Square Boundedness on an Event-Triggered Control Strategy for Discrete-Time Stochastic Systems with Time-Delay[J]. Acta Electronica Sinica, 2020, 48(3): 524-530. https://doi.org/10.3969/j.issn.0372-2112.2020.03.015

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Funding

National Natural Science Foundation of China (No.61873112); Ministry of Education - China Mobile Research Fund (No.MCM20170204); National Key Research and Development Project (No.2018YFD0400902)