Closed-loop optimal fuzzy reasoning and its application

The basic idea of optimal fuzzy reasoning is introducing optimization mechanism into fuzzy reasoning, while traditional fuzzy reasoning is an open-loop and optimization process. Firstly two main characteristics of fuzzy reasoning methods, reasoning consistency and approximation, were discussed for an existing optimal fuzzy reasoning method. Secondly the basic idea of closed-loop optimal fuzzy reasoning was provided, that is, introducing feedback and optimization mechanism into fuzzy reasoning, and a new method based on the idea was given. Thirdly the above characteristics for the new method was discussed. Proofs display that the two fuzzy reasoning methods both satisfy reasoning consistency and approximation. Based on the platform of a flight control system, simulation results display that the fuzzy-PID controller based on the closed-loop optimal fuzzy reasoning method has better control performance and more robustness. And the idea of closed-loop optimal fuzzy reasoning builds a full framework for treating fuzzy reasoning as a control problem.