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arXiv · 1804.07876

Stability analysis of event-triggered anytime control with multiple control laws

Thuy V. Dang·K. V. Ling·D. E. Quevedo
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Abstract

To deal with time-varying processor availability and lossy communication channels in embedded and networked control systems, one can employ an event-triggered sequence-based anytime control (E-SAC) algorithm. The main idea of E-SAC is, when computing resources and measurements are available, to compute a sequence of tentative control inputs and store them in a buffer for potential future use. State-dependent Random-time Drift (SRD) approach is often used to analyse and establish stability properties of such E-SAC algorithms. However, using SRD, the analysis quickly becomes combinatoric and hence difficult to extend to more sophisticated E-SAC. In this technical note, we develop a general model and a new stability analysis for E-SAC based on Markov jump systems. Using the new stability analysis, stochastic stability conditions of existing E-SAC are also recovered. In addition, the proposed technique systematically extends to a more sophisticated E-SAC scheme for which, until now, no analytical expression had been obtained.

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Thuy V. Dang, K. V. Ling, D. E. Quevedo. 2018-04-21. Stability analysis of event-triggered anytime control with multiple control laws. https://arxiv.org/abs/1804.07876

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