Mode discernibility and bounded-error state estimation for nonlinear hybrid systems

Abstract

State estimation is a key engineering problem when addressing control or diagnosis issues for complex dynamical systems. The issue is still challenging when the latter systems must be modelled as hybrid discrete–continuous dynamics, which is true for many complex and safety-critical systems. In this paper, we investigate nonlinear hybrid state estimation in a bounded-error framework using reliable and robust methods. We first establish a testable condition for current mode location discernibility. Then we build our hybrid state estimator which relies on a prediction–correction approach. An illustrative example is presented.