Periodic and event‐based impulse control for linear stochastic systems with multiplicative noise

Author:

Wang Bingchang1ORCID,Wang Chao1

Affiliation:

1. School of Control Science and Engineering Shandong University Jinan China

Abstract

SummaryThis paper studies the performance comparison of periodic and event‐based sampling for a class of linear stochastic systems with multiplicative noise, where the impulse control is adopted. By solving boundary value problems, we obtain the analytic expressions of the mean sampling time and the average state variance under the event‐based sampling. It is shown that the event‐based impulse control has substantially smaller average state variance than the periodic control under the same sampling frequency. Particularly, for the integrator case, the performance ratio of the two sampling methods is given explicitly. By simulation, it is demonstrated that the advantage of event‐based sampling over periodic sampling is most obvious for unstable systems, followed by critical stable systems, and least obvious for stable systems.

Funder

National Natural Science Foundation of China

Natural Science Fund for Distinguished Young Scholars of Shandong Province

Publisher

Wiley

Subject

Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)

Reference28 articles.

1. K. J.ÅströmandB.Bernhardsson Comparison of Riemann and Lebesgue sampling for first order stochastic systems Proceedings of the 41st IEEE Conference on Decision and Control Las Vegas USA 2002.

2. M.Rabi K.Johansson andM.Johansson Optimal stopping for event‐triggered sensing and actuation Proceedings of the 47th IEEE Conference on Decision and Control Cancun Mexico 2008.

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