DAE‐formulation for optimal solutions of a multirate model
Roland Pulch, Bernd Kugelmann · PAMM · 2015
Abstract A dynamical system including frequency modulated signals can be transformed into multirate partial differential algebraic equations. Optimal solutions are determined by a necessary condition. A method of lines yields a semi‐discretisation in the case of initial‐boundary value problems. We show that the resulting system can be written in a standard formulation of differential algebraic equations. Hence appropriate time integration schemes are available for a numerical solution. We present results for a test example modelling the electric circuit of a ring oscillator. (© 2015 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)