Some recent papers have extended the concept of finite-time stability (FTS) to the context of 2-D linear systems, where it has been referred to as finite-region stability (FRS). To this regard, the novel contribution of our work considers an interesting application of FRS to the context of iterative learning control (ILC). In particular, a new procedure is proposed so that the tracking error of the ILC law converges within the desired bound in a finite number of iterations. The results provided in the paper lead to an optimization problem constrained by linear matrix inequalities (LMIs), that can be solved via widely available software. A numerical example illustrates the effectiveness of the proposed technique.

When Finite-Region Stability Meets Iterative Learning Control

Cosentino, Carlo
;
Merola, Alessio;Romano, Maria;Amato, Francesco
2021-01-01

Abstract

Some recent papers have extended the concept of finite-time stability (FTS) to the context of 2-D linear systems, where it has been referred to as finite-region stability (FRS). To this regard, the novel contribution of our work considers an interesting application of FRS to the context of iterative learning control (ILC). In particular, a new procedure is proposed so that the tracking error of the ILC law converges within the desired bound in a finite number of iterations. The results provided in the paper lead to an optimization problem constrained by linear matrix inequalities (LMIs), that can be solved via widely available software. A numerical example illustrates the effectiveness of the proposed technique.
2021
978-1-6654-4135-3
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12317/73618
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