Abstract
We solve the problem of constructing a digital controller that stabilizes a continuous-time switched system whose operating modes are interval linear systems. The proposed stabilization approach includes constructing a continuous-time/discrete-time closed-loop system with a digital controller, passing to its discrete-time model, constructing, for a finite family of interval discrete-time systems (discrete-time model modes), a controller that stabilizes each of the systems, and subsequent estimation of the delay time that ensures stabilization of the original switched interval system by this controller.
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Funding
This work was supported by the Russian Foundation for Basic Research, project nos. 19-07-00294_a, 18-07-01283_a, 18-51-00004_Bel_a, and 17-07-00899_a.
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Russian Text © The Author(s), 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 11, pp. 1545–1559.
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Fursov, A.S., Minyaev, S.I. & Mosolova, Y.M. Synthesis of a Digital Output Controller for a Switched Interval Linear System. Diff Equat 55, 1503–1517 (2019). https://doi.org/10.1134/S00122661190110090
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DOI: https://doi.org/10.1134/S00122661190110090