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Stability and Performance Analysis of Control Systems Subject to Bursts of Deadline Misses

Authors Nils Vreman , Anton Cervin , Martina Maggio

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Author Details

Nils Vreman
  • Lund University, Department of Automatic Control, Sweden
Anton Cervin
  • Lund University, Department of Automatic Control, Sweden
Martina Maggio
  • Universität des Saarlandes, Department of Computer Science, Saarbrücken, Germany
  • Lund University, Department of Automatic Control, Sweden

Funding

The authors are members of the ELLIIT Strategic Research Area at Lund University. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under grant agreement Number 871259 (ADMORPH project). This publication reflects only the authors' view and the European Commission is not responsible for any use that may be made of the information it contains.

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Nils Vreman, Anton Cervin, and Martina Maggio. Stability and Performance Analysis of Control Systems Subject to Bursts of Deadline Misses. In 33rd Euromicro Conference on Real-Time Systems (ECRTS 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 196, pp. 15:1-15:23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021) https://doi.org/10.4230/LIPIcs.ECRTS.2021.15

Abstract

Control systems are by design robust to various disturbances, ranging from noise to unmodelled dynamics. Recent work on the weakly hard model - applied to controllers - has shown that control tasks can also be inherently robust to deadline misses. However, existing exact analyses are limited to the stability of the closed-loop system. In this paper we show that stability is important but cannot be the only factor to determine whether the behaviour of a system is acceptable also under deadline misses. We focus on systems that experience bursts of deadline misses and on their recovery to normal operation. We apply the resulting comprehensive analysis (that includes both stability and performance) to a Furuta pendulum, comparing simulated data and data obtained with the real plant. We further evaluate our analysis using a benchmark set composed of 133 systems, which is considered representative of industrial control plants. Our results show the handling of the control signal is an extremely important factor in the performance degradation that the controller experiences - a clear indication that only a stability test does not give enough indication about the robustness to deadline misses.

Subject Classification

ACM Subject Classification
  • Computer systems organization → Embedded and cyber-physical systems
  • Computer systems organization → Real-time systems
  • Computer systems organization → Dependable and fault-tolerant systems and networks
Keywords
  • Fault-Tolerant Control Systems
  • Weakly Hard Task Model

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