State Event Detection by Partitioning State Space for Hybrid Dynamical System

Abstract

The state space partitioned method with attenuation operators of event condition is presented to detect the state event effectively and rapidly in hybrid dynamical system reachability analysis and simulation. After the multi-event or sharp-angled phenomena was analyzed, and based on the attenuation operators of event condition, the state space of hybrid dynamical system is partitioned. Then the integrate step is adjusted with self adaptation by taking into account the event condition dynamic predicted using curve fitting. This algorithm can efficiently detect the state events for hybrid dynamical system with the nonlinear event condition and also can detect the first state event when the multi-event or sharp-angled phenomena happened. By applying this method to a rectifier circuit simulating, it can locate the state event rapidly and precisely. This method also can be applied to the situation where the control mode or movement mode changes.