A new approach for the optimal fuzzy linear time invariant controlled system with fuzzy coefficients

作者：

Highlights：

• The fuzzy control system and the optimal control system with fuzzy coefficients are solved.

• Using α-cuts and presentation of numbers in a more compact form, those systems are solved.

• This approach is very simple.

摘要

•The fuzzy control system and the optimal control system with fuzzy coefficients are solved.•Using α-cuts and presentation of numbers in a more compact form, those systems are solved.•This approach is very simple.

论文关键词：Generalized derivative of fuzzy functions,Fuzzy time invariant system,Fuzzy optimal control,Fuzzy differential equation,Pontryagin maximum principle,Hamiltonian function

论文评审过程：Received 5 February 2013, Revised 11 April 2013, Available online 23 April 2013.

论文官网地址：https://doi.org/10.1016/j.cam.2013.04.029