Emergency control of unstable behavior of nonlinear systems induced by fault (Q1289367)

This paper makes an attempt to extend the application domain of impulse control to the problems of fault description and compensation as well as stability control. The impulse control designed for urgent fault compensation is called an emergency control, which underlines instantaneous action of the developed control methods. The paper presents the concept of emergency control, which is applied to a dynamic system in the case of urgent necessity to change a system state affected by a fault. It is assumed that the system fault significantly affects the operation of a relatively small subsystem of the initial system on a short time interval and clears up at the end of this interval. The emergency control is designed to urgently return to the stability basin the system states affected by the fault. For this purpose, the emergency controller introduced \(\delta\)-functions into the system equation. This method is applied to a modification of the Van der Pol system, where an emergency controller generates a jump of the system state into the stability basin, thus preventing the system state from transition to infinity.