Open AccessOptimal Control of Distributed Parameter Systems with Application to Transient Thermoelectric Cooling
Author(s) -
M. Kotsur
Publication year - 2015
Publication title -
advances in electrical and computer engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.254
H-Index - 23
eISSN - 1844-7600
pISSN - 1582-7445
DOI - 10.4316/aece.2015.02015
Subject(s) - transient (computer programming) , thermoelectric cooling , thermoelectric effect , optimal control , transient analysis , computer science , temperature control , control (management) , control theory (sociology) , environmental science , transient response , control engineering , engineering , electrical engineering , thermodynamics , mathematical optimization , mathematics , physics , artificial intelligence , operating system
We give a solution of optimal control problem for distributed parameter systems described by nonlinear partial differential equations with nonstandard boundary conditions. The variational method is used to obtain the general form of the necessary conditions of optimality. A suitable algorithm based on the numerical method of successive approximations has been constructed for computing the optimal control functions. The results are applied for optimization of transient thermoelectric cooling process. Optimal dependences of current on time have been calculated for thermoelectric cooler power supply with the purpose of minimizing the cooling temperature within a preset time interval