# Fuzzy-arithmetic-based Lyapunov synthesis in the design of stable fuzzy controllers: A computing-with-words approach

International Journal of Applied Mathematics and Computer Science (2002)

- Volume: 12, Issue: 3, page 411-421
- ISSN: 1641-876X

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topZhou, Changjiu. "Fuzzy-arithmetic-based Lyapunov synthesis in the design of stable fuzzy controllers: A computing-with-words approach." International Journal of Applied Mathematics and Computer Science 12.3 (2002): 411-421. <http://eudml.org/doc/207598>.

@article{Zhou2002,

abstract = {A novel approach to designing stable fuzzy controllers with perception-based information using fuzzy-arithmetic-based Lyapunov synthesis in the frame of computing with words (CW) is presented. It is shown that a set of conventional fuzzy control rules can be derived from the perception-based information using the standard-fuzzy-arithmetic-based Lyapunov synthesis approach. On the other hand, a singleton fuzzy controller can be devised by using a constrained-fuzzy-arithmetic-based Lyapunov synthesis approach. Furthermore, the stability of the fuzzy controllers can be guaranteed by means of the fuzzy version of Lyapunov stability analysis. Moreover, by introducing standard and constrained fuzzy arithmetic in CW, the 'words' represented by fuzzy numbers could be efficiently manipulated to design fuzzy controllers. The results obtained are illustrated with the design of stable fuzzy controllers for an autonomous pole balancing mobile robot.},

author = {Zhou, Changjiu},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {fuzzy control; computing with words; pole balancing mobile robot; standard fuzzy arithmetic; Lyapunov synthesis; constrained fuzzy arithmetic; perception-based information; stability; fuzzy arithmetic},

language = {eng},

number = {3},

pages = {411-421},

title = {Fuzzy-arithmetic-based Lyapunov synthesis in the design of stable fuzzy controllers: A computing-with-words approach},

url = {http://eudml.org/doc/207598},

volume = {12},

year = {2002},

}

TY - JOUR

AU - Zhou, Changjiu

TI - Fuzzy-arithmetic-based Lyapunov synthesis in the design of stable fuzzy controllers: A computing-with-words approach

JO - International Journal of Applied Mathematics and Computer Science

PY - 2002

VL - 12

IS - 3

SP - 411

EP - 421

AB - A novel approach to designing stable fuzzy controllers with perception-based information using fuzzy-arithmetic-based Lyapunov synthesis in the frame of computing with words (CW) is presented. It is shown that a set of conventional fuzzy control rules can be derived from the perception-based information using the standard-fuzzy-arithmetic-based Lyapunov synthesis approach. On the other hand, a singleton fuzzy controller can be devised by using a constrained-fuzzy-arithmetic-based Lyapunov synthesis approach. Furthermore, the stability of the fuzzy controllers can be guaranteed by means of the fuzzy version of Lyapunov stability analysis. Moreover, by introducing standard and constrained fuzzy arithmetic in CW, the 'words' represented by fuzzy numbers could be efficiently manipulated to design fuzzy controllers. The results obtained are illustrated with the design of stable fuzzy controllers for an autonomous pole balancing mobile robot.

LA - eng

KW - fuzzy control; computing with words; pole balancing mobile robot; standard fuzzy arithmetic; Lyapunov synthesis; constrained fuzzy arithmetic; perception-based information; stability; fuzzy arithmetic

UR - http://eudml.org/doc/207598

ER -

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