Convergence Rate Abstractions for Weakly-Hard Real-Time Control

Gaukler M, Rheinfels T, Ulbrich P, Roppenecker G (2019)

Publication Language: English

Publication Type: Other publication type

Publication year: 2019


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Classically, a control loop is designed to be executed strictly periodically.
This is, however, difficult to achieve in many scenarios, for example, when
overload or packet loss cannot be entirely avoided. Here, weakly-hard real-time
control systems are a common approach which relaxes timing constraints and
leverages the inherent robustness of controllers. Yet, their analysis is often
hampered by the complexity arising from the system dimension and the vast
number of possible timing sequences. In this paper, we present the novel
concept of convergence rate abstractions that provide a sound yet simple
one-dimensional system description. This approach simplifies the stability
analysis of weakly-hard real-time control systems. At the same time, our
abstractions facilitate efficient computation of bounds on the worst-case
system state at run-time and thus the implementation of adaptation mechanisms.

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Gaukler, M., Rheinfels, T., Ulbrich, P., & Roppenecker, G. (2019). Convergence Rate Abstractions for Weakly-Hard Real-Time Control.


Gaukler, Maximilian, et al. Convergence Rate Abstractions for Weakly-Hard Real-Time Control. 2019.

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