The problem of simplification of a continuous-time nonlinear complex model is considered. A methodology for deriving mixed, continuous and discrete, i.e. hybrid, models from a nonlinear ODE system model is developed. The initial model complexity is reduced by transforming the nonlinear system to a set of piecewise linear models about operating points (corresponding to modes of operation) and a discrete event switching structure describing the mode transitions. A switching specification and state vector update function is derived by combining piecewise linearization with singular perturbation approaches and transient analysis. The approach is illustrated by the analysis of the phase space behaviour of a hydraulic actuator.
Reviewer: Z.Hasiewicz (Wrocław)