DAE‐formulation for optimal solutions of a multirate model | Zendy

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DAE‐formulation for optimal solutions of a multirate model

Author(s) -

Pulch Roland,

Kugelmann Bernd

Publication year - 2015

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.201510297

Subject(s) - discretization , mathematics , algebraic number , algebraic equation , boundary value problem , differential algebraic equation , ring (chemistry) , differential (mechanical device) , partial differential equation , differential equation , method of lines , control theory (sociology) , mathematical analysis , ordinary differential equation , computer science , physics , nonlinear system , chemistry , control (management) , organic chemistry , artificial intelligence , quantum mechanics , thermodynamics

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)

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