Stability of Linear Systems under Extended Weakly-Hard Constraints

TL;DR

This paper develops a stability analysis framework for control systems experiencing sporadic deadline misses, enhancing understanding of robustness in digital control implementations under timing constraints.

Contribution

It introduces a novel formulation for analyzing control system stability under weakly-hard timing constraints, bridging the gap between theoretical robustness and practical implementation.

Findings

Provides a new stability analysis method for weakly-hard constraints

Enables robustness assessment of control systems with deadline misses

Brings computational analysis closer to real-world controller deployment

Abstract

Control systems can show robustness to many events, like disturbances and model inaccuracies. It is natural to speculate that they are also robust to sporadic deadline misses when implemented as digital tasks on an embedded platform. This paper proposes a comprehensive stability analysis for control systems subject to deadline misses, leveraging a new formulation to describe the patterns experienced by the control task under different handling strategies. Such analysis brings the assessment of control systems robustness to computational problems one step closer to the controller implementation.