数学
模糊控制系统
模糊逻辑
线性控制系统
应用数学
数学优化
线性系统
人工智能
计算机科学
数学分析
作者
Hassan Zarei,A. Khastan,Rosana Rodríguez‐López
标识
DOI:10.1016/j.fss.2022.05.006
摘要
In this paper, we study first order linear fuzzy systems under generalized differentiability and present the general form of their solutions. Next, the fuzzy optimal control problem of these systems is considered to optimize the expected values of the appropriate objective fuzzy functions and the Pontryagin Maximum Principle is used to obtain a necessary optimality condition in the form of a fuzzy boundary value problem. Using the necessary optimality condition, the constant formulas for fuzzy optimal control function and the corresponding fuzzy state function are proposed. Due to the different formulations of a unique dynamical phenomenon in the fuzzy setting and different cases of the strongly generalized differentiability, for each fuzzy optimal control problem, we obtain a suboptimal solution. Finally, some examples including the optimal control of a cruise system, a RLC circuit system and a Mass-Spring-Damper system are given to illustrate our results.
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