Regional Stability of Discrete-Time Linear Systems Subject to Asymmetric Input Saturation

Leonardo B Groff (1) , João Manoel Gomes da Silva (1) , Giórgio Valmórbida (2, 3)

1 UFRGS - Universidade Federal do Rio Grande do Sul [Porto Alegre]
2 L2S - Laboratoire des signaux et systèmes
3 DISCO - Dynamical Interconnected Systems in COmplex Environments

This paper studies the problem of estimating the region of attraction of linear discrete-time systems with asymmetric input saturation. Using a Piecewise Quadratic Lyapunov function, we propose conditions for the local stability of the equilibrium. The asymmetric bounds of the saturation are considered in these conditions. Estimates of the region of attraction, possibly asymmetric with respect to the origin, are computed by solving convex optimization problems. Numerical results illustrate the effectiveness of the proposed method.

Domaines: Automatique / Robotique

Leonardo B Groff, João Manoel Gomes da Silva, Giórgio Valmórbida. Regional Stability of Discrete-Time Linear Systems Subject to Asymmetric Input Saturation. 58th IEEE Conference on Decision and Control (CDC 2019), Dec 2019, Nice, France. ⟨10.1109/cdc40024.2019.9030005⟩. ⟨hal-02430391⟩