Numerical solution of a fuzzy time-optimal control problem

TL;DR

This paper presents a method for solving fuzzy time-optimal control problems by reducing them to two crisp control problems, demonstrated through an example.

Contribution

It introduces a novel approach to handle fuzzy initial and final states in time-optimal control problems by simplifying their computation.

Findings

The approach effectively reduces fuzzy problems to crisp control problems.

Application to an example demonstrates the method's practicality.

Fuzzy optimal time can be computed via two standard control problems.

Abstract

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.