Time-optimal fuzzy control based on computation method

Abstract

In this paper, a fuzzy model based time-optimal controller will be proposed. The control input is bounded, and only achieved in minimum time. A design approach of the minimal time fuzzy controller using Pontryagin's Minimum Principle (PMP) is presented. The necessary conditions of PMP for time-optimal problem achieve the goal in minimum time under bounded controls can be formulated as bang-bang control. Determination of time-optimal solution by solving the corresponding two-point boundary-value problems (TPBVP) is, in general, a difficult problem. The proposed approach does not require to solve TPBVP. The Euler's method can be adopted to obtain approximate solution for T-S fuzzy model. Based on this method, the separating set of each subsystem in T-S fuzzy model is analytical and can cope with firing strength to generate switching conditions.