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Communication Dans Un Congrès Année : 2023

Robust PWA control Based on State Space Partitions

Songlin Yang
Sorin Olaru

Résumé

Under the convex lifting for the state partitions, this paper studies the robust piecewise affine (PWA) control laws for linear discrete-time systems with state and input constraints. In particular, unlike the study of perturbations of state space partitions in vertex or half-plane representations, each state partition in this study is the smallest perturbation element. Practically, a maximum admissible region collection (MARC) is defined to inscribe the maximum perturbation region of each state partition. Based on MARC, which guarantees the postive invariance of the original controller, a fragility of convex lifting (FCL) is proposed to realize a robust PWA control with an implicit controller form. A numerical example illustrates the effectiveness of the new robust PWA controller.
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Dates et versions

hal-04320881 , version 1 (04-12-2023)

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Songlin Yang, Sorin Olaru, Pedro Rodriguez-Ayerbe. Robust PWA control Based on State Space Partitions. 2023 European Control Conference (ECC 2023), Jun 2023, Bucharest, Romania. ⟨10.23919/ECC57647.2023.10178301⟩. ⟨hal-04320881⟩
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