Average Communication Rate for Event-Triggered Stochastic Control Systems
arxiv(2023)
摘要
Quantifying the average communication rate (ACR) of a networked
event-triggered stochastic control system (NET-SCS) with deterministic
thresholds is challenging due to the non-stationary nature of the system's
stochastic processes. For a NET-SCS, the nonlinear statistics propagation of
the network communication status brought up by deterministic thresholds makes
the precise computation of ACR difficult. Previous work used to over-simplify
the computation using a Gaussian distribution without incorporating this
nonlinearity, leading to sacrificed precision. This paper proposes both
analytical and numerical approaches to predict the exact ACR for a NET-SCS
using a recursive model. We use theoretical analysis and a numerical study to
qualitatively evaluate the deviation gap of the conventional approach that
ignores the side information. The accuracy of our proposed method, alongside
its comparison with the simplified results of the conventional approach, is
validated by experimental studies. Our work is promising to benefit the
efficient resource planning of networked control systems with limited
communication resources by providing accurate ACR computation.
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