An observer for switched Lipschitz continuous systems

Abstract

In the present work, an alternative approach to the state observation problem for switched Lipschitz continuous systems is proposed. An observer that is based on a concept of observability weaker than that of the instantaneous observability is constructed. Moreover, no strong assumptions are made about the mathematical structure of the observed system. To cope with this limitation, the proposed observer takes advantage of the evaluation of sets of possible estimates. Conditions under which the construction of such sets is possible are found. These conditions assure the state-estimation convergence towards a neighbourhood of the actual system state.