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Robust global stabilisability by means of sampled-data control with positive sampling rate

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Abstract:

This work proposes a notion of robust reachability of one set from another set under constant control. This notion is used to construct a control strategy, involving sequential set-to-set reachability, which guarantees robust global stabilisation of non-linear sampled data systems with positive sampling rate. Sufficient conditions for robust reachability of one set from another under constant control are also provided. The proposed method is illustrated through a number of examples, including the study of the sampled-data stabilisation problem of the chemostat.

Keywords: sampled-data control; uniform robust global asymptotic stability

Document Type: Research Article

DOI: https://doi.org/10.1080/00207170802256521

Affiliations: 1: Department of Environmental Engineering, Technical University of Crete, Chania, Greece 2: Department of Chemical Engineering, University of Patras, Patras, Greece

Publication date: 2009-04-01

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