Optimal Control in a Fuzzy Environment


Dimiter Filev, Plamen Angelov




More realistic formulations of optimal control problems are proposed in the paper. Fuzzy sets are used to represent the impreciseness and non-reproducibility of the experimental data and subjectivity of the cost function(s) definition. The problem is transformed via Bellman-Zadeh's approach to the crisp (nonfuzzy) optimal control problem. Illustrative numerical example are presented.