Switching signal estimation based on interval observer for a class of switched linear systems

In this paper, the estimation problem of the switching signal is addressed for a class of Switched Linear Systems (SLS) with unknown input and when the continuous state is assumed to be unknown. Based on distinguishability conditions of the current mode, a sliding mode observer combined with an interval observer is designed in order to estimate the discrete mode of the SLS. Using the proposed interval observer, residuals are defined to ensure a robust detection of discrete mode change. An attenuation condition of the disturbance and sensitivity condition of residuals are formulated by LMI conditions in order to design the interval observer. Simulation results highlight the efficiency of the proposed scheme.