Fuzzy two-point boundary value problems in mathematical modeling and control. Part 2. Fuzzy control

The initial method is considered of solving a two-point boundary value problem for a second-order linear fuzzy differential equation and the example of its application is given. For the nonlinear case, the fuzzy Galerkin method is suggested, that is the modification of its traditional analog. As an example of fuzzy method realization the fuzzy periodic modes calculation is given for the automatic optimization system with the searching extremal controller with the extremum storing. It is shown that a complete fuzzy system of linear algebraic equations appears when calculating.