On the Stability of Switched ARX Models, with an Application to Learning via Regression Trees
IFAC-PapersOnLine(2021)
摘要
This work studies the stability properties of Switched AutoRegressive eXogenous (SARX) models subject to arbitrary switching sequences. We provide necessary and sufficient conditions for the arbitrary switching stability of multiple-input single-output SARX models under nonnegativity constraints, and sufficient-only conditions removing sign constraints. The conditions are equivalently formulated on state-space representations of SARX models, due to their influential use in designing control strategies. As an application of the aforementioned results, we propose a novel algorithm for the identification of switched models with stability guarantees via Regression Trees, a powerful machine learning technique.
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关键词
Stability of switched systems,System identification,Regression Trees
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