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Communication Dans Un Congrès Année : 2023

Stabilization using shifted equilibria for saturated discrete-time linear systems

Philipp Braun
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Marc Jungers
Luca Zaccarian

Résumé

We discuss controller designs for asymmetric saturated discrete-time linear systems. Under the assumption that a locally stabilizing controller of the origin is known, we augment the original controller with an additional term that vanishes in a neighborhood of the origin. The augmented controller outperforms the original controller in terms of the estimate of the region of attraction. The paper translates the results discussed in Braun et al. (2022a,b), from the continuous-time setting to the discrete-time setting, and numerically verifies that the results derived for continuous-time systems are recovered if the discrete-time system is obtained through an Euler discretization of a continuous-time system with a sufficiently small sampling rate.
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Dates et versions

hal-03877627 , version 1 (17-07-2023)

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Philipp Braun, Marc Jungers, Luca Zaccarian. Stabilization using shifted equilibria for saturated discrete-time linear systems. 12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2023, Jan 2023, Camberra, Australia. ⟨10.1016/j.ifacol.2023.02.005⟩. ⟨hal-03877627⟩
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