𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Fuzzy Lyapunov-based approach to the design of fuzzy controllers

✍ Scribed by Michael Margaliot; Gideon Langholz

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
593 KB
Volume
106
Category
Article
ISSN
0165-0114

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we extend the classical Lyapunov synthesis method to the domain of computing with words. This new approach is used to design fuzzy controllers. Assuming minimal knowledge about the plant to be controlled, the proposed method enables us to systematically derive the fuzzy rules that constitute the rule base of the controller. We demonstrate the approach by designing Mamdani-type and Takagi-Sugeno-Kang-type fuzzy controllers for two well-known plants.

πŸ“œ SIMILAR VOLUMES

A fuzzy approach to stability of fuzzy c
A fuzzy approach to stability of fuzzy controllers
✍ Hans Bandemer; Silvio Hartmann πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 908 KB

This paper deals with stability analysis of fuzzy controllers. A new definition embedding the notion of stability into fuzzy set theory is suggested. In this context the introduction of a gradual stability is discussed. Investigating stability needs a model of the process. One of the essential assum

Design of mode-to-mode fuzzy controllers
Design of mode-to-mode fuzzy controllers
✍ Freeman Rufus; George Vachtsevanos πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 352 KB πŸ‘ 2 views

The mode-to-mode transition problem involves taking initial states in the start mode to the equilibrium point of the goal mode, where each mode of operation corresponds to an operating regime about an equilibrium point. Like the problem of dynamic transitions between various equilibria, there is no

Design of stable fuzzy control systems u
Design of stable fuzzy control systems using Lyapunov's method in fuzzy hypercubes
✍ Chaio-Shiung Chen πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 442 KB

In this paper, a systematic procedure is presented to analyze and design a stable fuzzy controller for a class of nonlinear systems. Based on the Lyapunov's directive method, we account for the relationship between the stability of the control system and the I/O sets of the fuzzy controller. First,

Nested design of fuzzy controllers with
Nested design of fuzzy controllers with partial fuzzy rule base
✍ J.S. Taur; C.W. Tao πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 269 KB

In this paper, a systematic nested design approach with a partial fuzzy if-then rule base is proposed to reduce the complexity of the fuzzy controllers. In the design procedure, the fuzzy controller is ΓΏrst constructed with a basic fuzzy rule base. When the fuzzy rule base is not su cient to provide