Analysis of bilinear systems with sampled-data state feedback

Hassan Omran (1) , Laurentiu Hetel (2) , Jean-Pierre Richard (3) , Françoise Lamnabhi-Lagarrigue (4)

1 LAGIS - Laboratoire d'Automatique, Génie Informatique et Signal
2 SyNeR - Systèmes Non Linéaires et à Retards
3 NON-A - Non-Asymptotic estimation for online systems
4 L2S - Laboratoire des signaux et systèmes

In this chapter we consider the stability analysis of bilinear systems controlled via a sampled-data state feedback controller. Sampling periods may be time-varying and subject to uncertainties. The goal of this study is to find a constructive manner to estimate the maximum allowable sampling period (MASP) that guarantees the local stability of the system. Stability criteria are proposed in terms of linear matrix inequalities (LMI).

Keywords: Maximum Allowable Sampling Period (MASP); Linear Matrix Inequalities (LMI); Lyapunov function; Bilinear Systems; Linear State Feedback

Domains: Automatic Control Engineering; Automatic

Hassan Omran, Laurentiu Hetel, Jean-Pierre Richard, Françoise Lamnabhi-Lagarrigue. Analysis of bilinear systems with sampled-data state feedback. Seuret, A., Hetel, L., Daafouz, J., Johansson, K.H. (Eds.) Delays and Networked control systems, Springer Verlag, pp.79-96, 2015, 978-3-319-32372-5. ⟨10.1007/978-3-319-32372-5_5⟩. ⟨hal-01260212⟩