Vlastimir Nikolić, Danijela Ristić

Polynomial Equation Approach to the Dual Criterion Stochastic Optimal Control Problem: Application to an Extruder

In this paper a polynomial approach to the solving of dual criterion stochastic optimal control problem for a general single-input single-output linear discrete stochastic system is considered. The discussed optimal control problem solution involves solving of three polynomial Diophantine equations and two polynomial spectral factorizations resulting from the appropriate transfer-function or polynomial system representation. The presented results are applied in procedure of designing of the optimal control based on the model of a single-screw extruder represented in polynomial form.

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