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