Trajectory sensitivity analysis of hybrid systems

The development of trajectory sensitivity analysis for hybrid systems, such as power systems, is presented in the paper. A hybrid system model which h as a differential-algebraic-discrete (DAD) structure is proposed. This mode l forms the basis for the subsequent sensitivity analysis. Crucial to the a nalysis is the development of jump conditions describing the behavior of se nsitivities at discrete events, such as switching and state resetting. The efficient computation of sensitivities is discussed. A number of examples a re presented to illustrate various aspects of the theory. It is shown that trajectory sensitivities provide insights into system behavior which cannot be obtained from traditional simulation.