Optimal fuzzy control using hedge algebras of a damped elastic jointed inverted pendulum

##article.abstract##

In this paper, three controllers including OFCHA (optimal fuzzy control using \textit{hedge algebras} - HAs), FCHA (fuzzy control using HAs) and CFC (conventional fuzzy control) are designed. Our attention is paid to the stability in the vertical position of a damped-elastic-jointed inverted pendulum subjected to a time periodic follower force. Different values of the pendulum length are considered. Simulation results are exposed to illustrate the effect of OFCHA in comparison with FCHA and CFC.