Impulsive observer design for switched linear systems with time varying sampling and (a)synchronous switching rules

Observer synthesis for switched linear systems with time-varying sampled-data measurements is addressed in this paper. Between sampling times, the behaviour of the observer under consideration has the particularity to be that of the estimated active mode while, at the sampling times a correction (or an update) is made using the estimated active mode and the sampled output signal. Two cases are discussed: i) the situation where no delay occurs in the estimation of the active mode and, ii) the more practical case where the estimated switching signal that defines the proposed observer is a delayed replica of the plant's switching signal. In these two situations, appropriate time-varying piecewise quadratic Lyapunov functions are used to establish convergence conditions of the proposed observer in the linear matrix inequalities (LMIs) framework. Copyright (C) 2020 The Authors.