An Accurate Approach for Solving a Class of Fuzzy Optimal Control Problems with Nonlinear Constraints

Fuzzy optimal control problems have been applied in many fields such as electrical engineering, medicine, economics and environments. This fact is because that many of systems are not-crisp form in their modeling equations. In this paper, a class of fuzzy optimal control problems containing a nonlinear system and linear objective function is studied and a more accurate procedure is proposed. 𝛂 − 𝐜𝐮𝐭𝐬 and a new piecewise linearization approach are used to solve the optimization problem. At first, the fuzzy nonlinear optimal control problem is obtained and converted to a crisp nonlinear problem by applying defined 𝛂 − 𝐜𝐮𝐭 sets of fuzzy system. Then, the problem is converted to an equivalent linear system using piecewise linearization method. Finally, the accuracy and effectiveness of the proposed approach is confirmed by several numerical examples.