Fuzzy-arithmetic-based Lyapunov Function for Design of Fuzzy Controllers
نویسنده
چکیده
A novel approach to design fuzzy controllers using fuzzy-arithmetic-based Lyapunov function that gives a linguistic description on the plant and the control objective is presented in this paper. An inverted pendulum system is used as a benchmark dynamic nonlinear plant for evaluating the proposed method. It is shown that a set of stable fuzzy control rules can be derived from perception-based information systematically, rather than heuristically. Based on Lyapunov’s approach, conditions to ensure the stability of a pendulum-cart system are given, and these conditions are then used to verify the perception-based information for balancing a pendulum. Based on these perceptions and standard-fuzzy-arithmetic-based Lyapunov function, a set of traditional fuzzy control rules can be derived. On the other hand, a singleton fuzzy controller can be devised by using constrained-fuzzy-arithmetic-based Lyapunov’s function. Further more the stability of the fuzzy controllers can be guaranteed by means of fuzzy version of Lyapunov stability analysis. The results obtained are illustrated with a design of stable fuzzy controllers for an autonomous pole balancing mobile robot. Copyright © 2002 IFAC
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