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Conference Papers Year : 2020

On Quantization in Discrete-Time Control Systems: Stability Analysis of Ternary Controllers

Abstract

This paper studies feedback system with a state-feedback law with a ternary nonlinearity in the feedback loop. We propose a novel Lyapunov-based approach that takes advantage of a framework recently developed to assess positivity of generalized piece-wise quadratic forms. Such an approach is used to compute piece-wise quadratic function as stability certificates of the non-linear system.
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Dates and versions

hal-03092417 , version 1 (02-01-2021)

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Giorgio Valmorbida, Francesco Ferrante. On Quantization in Discrete-Time Control Systems: Stability Analysis of Ternary Controllers. CDC 2020 - 59th IEEE Conference on Decision and Control, IEEE, Dec 2020, Jeju Island (virtual), South Korea. pp.2543-2548, ⟨10.1109/CDC42340.2020.9304125⟩. ⟨hal-03092417⟩
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