Title :
Computer aided modelling of optimal control
Author :
Sklyar, Grigory M. ; Szkibiel, Grzegorz
Author_Institution :
Inst. of Math., Szczecin Univ., Szczecin, Poland
Abstract :
Dealing with the strict analytic modelling of non-homogeneous physical objects (strings, beams etc.) control leads to the trigonometric non-Fourier moment problem. The existence of solution of such a problem is still researched by many authors. The optimization of the solution is yet another problem. In current note, the algorithm for the solution with the least L2-norm is developed. The proposed algorithm allows to change an infinite system of moment equations into the linear one with only a finite number of equations. The idea of the approximating algorithm is based on the concept of quadratically close Hilbert spaces. This concept is the key point of approximation of optimal control. The note is concluded with the application of the proposed algorithm.
Keywords :
Hilbert spaces; approximation theory; control engineering computing; optimal control; Hilbert spaces; L2-norm; approximating algorithm; computer aided modelling; moment equation infinite system; nonhomogeneous physical object control; optimal control; trigonometric nonFourier moment problem; Aerospace electronics; Approximation algorithms; Approximation methods; Equations; Hilbert space; Mathematical model; Optimal control;
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2012 17th International Conference on
Conference_Location :
Miedzyzdrojie
Print_ISBN :
978-1-4673-2121-1
DOI :
10.1109/MMAR.2012.6347809