Abstract
We solve the problem of constructing a digital controller superstabilizing a continuous-time switched system whose operation modes are interval linear systems. The proposed approach to stabilization includes constructing a continuous/discrete-time closed-loop system with a digital controller, passing to its discrete-time model, and constructing a controller that simultaneously superstabilizes all the interval discrete-time systems in the finite family formed by the modes of the discrete-time model.
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Funding
This work was supported by the Russian Foundation for Basic Research, projects nos. 18-07-01283a, 18-07-01105a, 19-07-00294a, 20-07-00827a, and 20-57-00001 Bel_a, and facilitated by the Moscow Center for Fundamental and Applied Mathematics.
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Translated by V. Potapchouck
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Fursov, A.S., Mosolova, Y.M. & Minyaev, S.I. Digital Superstabilization of a Switched Interval Linear System. Diff Equat 56, 1485–1495 (2020). https://doi.org/10.1134/S00122661200110099
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DOI: https://doi.org/10.1134/S00122661200110099