Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systems

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Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systems (EN)

Μπεκιαρης-Λυμπερης Νικολαος (EL)
Bekiaris-Liberis Nikolaos (EN)
Krstić, Miroslav (EN)
Cai Xiushan (EN)

journalArticle

2019


For the ‘‘exact’’ predictor-feedback control design, recently introduced by Tsubakino, Krstic, and Oliveira for multi-input linear systems with distinct input delays, we establish input-to-state stability, with respect to additive plant disturbances, as well as robustness to constant multiplicative uncertain-ties affecting the inputs. We also show that the exact predictor-feedback controller is inverse optimal with respect to a meaningful differential game problem. Our proofs capitalize on the availability of a backstepping transformation, which is formulated appropriately in a recursive manner. An example, computed numerically, is provided to illustrate the validity of the developed results. (EN)

Delay compensation (EN)
Input-to-state stabilization (EN)
Inverse optimality (EN)
Predictor feedback (EN)
Robustness (EN)
Multi-input systems (EN)

Automatica (EN)

English

Elsevier (EN)

Πολυτεχνείο Κρήτης (EL)
Technical University of Crete (EN)




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