Developing a new fuzzy controller

This paper shows how the newly developed paradigm of general fuzzy automata (GFA) can be used as a fuzzy controller. We show how the membership assignment function can simulate the states of a plant which is to be controlled by fuzzy rules. We use an inverted pendulum (IP) as a testbed in which we define the positions of the IP (states of the GFA) and the events that change the state of the IP (inputs to the GFA) as linguistics (fuzzy parameters). Then, we compare our method with the established fuzzy methods for inverted pendulum control, i.e. hardware or software implementation. Since we have formulated the outputs to be associated with the states, our GFA represents a fuzzy Moore automaton.