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

Mirko Fiacchini (1) , João Manoel Gomes da Silva Jr (2)

1 GIPSA-SYSCO - GIPSA - Systèmes non linéaires et complexité
2 UFRGS - Universidade Federal do Rio Grande do Sul [Porto Alegre]

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.

Domaines: Automatique / Robotique

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⟩