In this paper, three controllers, including OFCHA (optimal fuzzy control using hedge algebras – HAs), FCHA (fuzzy control using HAs) and CFC (conventional fuzzy control) are designed. Attention is paid to the stability in the vertical position of a damped-elastic-jointed inverted pendulum subjected to a time-periodic follower force. The different values of the angular coefficient of the follower force are considered. Simulation results are exposed to illustrate the effect of OFCHA in comparison with FCHA and CFC.
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