Numerical solution of a fuzzy time-optimal control problem
For researchers in fuzzy control, this provides a method to handle uncertainty in time-optimal control, but the contribution is incremental as it extends existing crisp methods to fuzzy settings.
The paper tackles a time-optimal control problem with uncertainties modeled by fuzzy initial and final states, reducing it to two crisp optimal control problems and demonstrating the approach on an example.
In this paper, we consider a time-optimal control problem with uncertainties. Dynamics of controlled object is expressed by crisp linear system of differential equations with fuzzy initial and final states. We introduce a notion of fuzzy optimal time and reduce its calculation to two crisp optimal control problems. We examine the proposed approach on an example.