Lifted Systems

Dynamical systems describe and control the behaviour of many systems around us, from vehicle cruise control to electricity generation and weather prediction. When these systems are linear they can be quickly and efficiently analysed and controlled.

However, when they are nonlinear, analysis is difficult, and often less accurate approximations are used. Using applied mathematical techniques, nonlinear systems can be transformed into linear systems of lifted states, so that they are much easier to predict and control. The benefits of this method are broad but are particularly relevant to small and portable devices with limited computational power.