Mode monitoring in hybrid systems: Application to fault detection

The problem of mode monitoring in hybrid systems with application to fault detection problem solution is investigated. The hybrid systems under consideration consist of two parts characterized by discrete nondeterministic dynamics and nonlinear continuous dynamics. A given set of the faults is limited by possible wrong transitions from one mode to another. Solution of the mode monitoring problem is reduced to on-line computation of some mode indicators by handling the system inputs and outputs taken within moving time window. The method is proposed for mode indicator computation under assumption that continuous part is described by ordinary differential equations whose right-hand side has polynomial form. Then, the method for discrete part determinization is proposed for fault detection problem solution. An example is considered to illustrate the details of proposed solution.