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Mathematics > Optimization and Control

arXiv:1804.07876 (math)
[Submitted on 21 Apr 2018]

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

Authors: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.
Comments: Accepted for publication in IEEE Transactions on Automatic Control
Subjects: Optimization and Control (math.OC)
Cite as: arXiv:1804.07876 [math.OC]
  (or arXiv:1804.07876v1 [math.OC] for this version)
  https://doi.org/10.48550/arXiv.1804.07876

Submission history

From: Thuy V. Dang [view email]
[v1] Sat, 21 Apr 2018 02:07:13 UTC (667 KB)
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