Institutional Repository
Technical University of Crete
Technical University of Crete
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| URI: | http://purl.tuc.gr/dl/dias/0ECD5A27-5C55-4CB7-9EF9-A8590C699605 | ||
| Year | 2019 | ||
| Type of Item | Peer-Reviewed Journal Publication | ||
| License |
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| Bibliographic Citation | X. Cai, N. Bekiaris-Liberis and M. Krstic, "Input-to-state stability and inverse optimality of predictor feedback for multi-input linear systems," Automatica, vol. 103, pp. 549--557, May 2019. doi: 10.1016/j.automatica.2019.02.038 https://doi.org/10.1016/j.automatica.2019.02.038 | ||
| Appears in Collections |
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.
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