Model-Based Design Issues in Fuzzy Logic Control

Model-based design issues of fuzzy logic control systems for Single Input-Single Output (SISO) nonlinear time-varying plants are discussed. The emphasis is given to the stable design of fuzzy logic controllers (FLCs). The accepted FLCs belong to the classes of type-II fuzzy systems and type-III fuzzy systems according to Sugeno’s classification. Two original theorems that ensure the uniformly stability and the uniformly asymptotically stability of fuzzy logic control systems are given. The stability analyses are done in the sense of Lyapunov and the approaches are expressed in terms of sufficient inequality-type stability conditions. The effectiveness of the theoretical results is proved by their application in the stable design of Takagi-Sugeno FLCs for two SISO nonlinear time-varying plants, the Lorenz chaotic system and a laboratory Anti-lock Braking System. Digital simulation and real-time experimental results are included.

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