Mem-Models and State Event Location Algorithm for a Prototypical Aerospace System

This paper presents a suite of dynamic models enhanced by mem-models. A prototypical pogo stick model might mimic a space hopper or a segmented telescope mirror actuator, while an extension of that prototype could simulate the terramechanics problem of a deformable soil model interacting with a penetrator. The inclusion of mem-models, including memristor and memcapacitor models, introduces an increased level of fidelity and a new and effective means of modeling memory effects and path dependence of nonlinear interacting dynamical systems. This challenging class of problems, which involves non-smooth dynamical systems posed as differential-algebraic equations, is formulated here as a hybrid dynamical system with both continuous and discrete states, and a state event location algorithm is successfully applied to track discontinuous changes in the system states.