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Stability of Sampled-data Control Systems under Aperiodic Sampling and Input Saturation

Abstract : This work proposes a new approach to asses stability of sampled-data controlled linear systems under aperiodic sampling and subject to input saturation. From an impulsive representation of the system and considering a partition of the interval between two successive sampling instants, it is shown that the discrete-time dynamics of the closed-loop system can be described by a difference inclusion. A general Lyapunov-based result allowing to conclude about the local (regional) stability of the sampled-data system is derived. Thus, considering the particular case of quadratic functions, a constructive condition in terms of linear matrix inequalities (LMIs) is proposed to compute estimates of the region of attraction of the nonlinear closed-loop system.
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Submitted on : Thursday, October 25, 2018 - 8:52:44 AM
Last modification on : Wednesday, November 3, 2021 - 7:51:19 AM
Long-term archiving on: : Saturday, January 26, 2019 - 1:44:17 PM


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  • HAL Id : hal-01904488, version 1



Mirko Fiacchini, João Manoel Gomes da Silva Jr. Stability of Sampled-data Control Systems under Aperiodic Sampling and Input Saturation. CDC 2018 - 57th IEEE Conference on Decision and Control, Dec 2018, Miami, FL, United States. ⟨hal-01904488⟩



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