Stability impulse control of faulted nonlinear systems

This paper presents the impulse control approach intended to urgently return to the stability basin the system states affected by abrupt changes in certain system coefficients on a short time interval. Because of its short duration, the modeling of both the fault and controller involves delta-functions significantly simplifying analysis and control of fault phenomena. The design of an impulse controller is based on the technique for computing fault-induced jumps of the system states, which is described in the paper. A sample impulse controller instantaneously returning states of a Van-der-Pol system to the stability basin is designed.