A reference function based 3D FLC design methodology using SVR learning is proposed for spatially distributed dynamic systems. Utilizing the concept of reference function, the 3D FLC can access more kinds of 3D MFs, such as Symmetric triangle, Gaussian, Cauchy, Laplace, Hyperbolic Secant, and Squared Sinc. Based on the mathematical expressions of reference function based 3D FLC, we define spatial fuzzy basis functions and then find an equivalence relationship between a 3D FLC and an SVR by connecting spatial fuzzy basis functions in the 3D FLC to KFs in the SVR. On the basis of the equivalence relationship, a 3D FLC can be designed using the SVR learning; that is, the learned spatial support vectors as the optimal leading data points can be directly used for 3D fuzzy control rule generation. The proposed reference function based 3D FLC design can be carried out in five steps: data collection, KF generation, SVR learning, 3D fuzzy rule construction, and 3D fuzzy controller integration. Besides, the universal approximation capability of the proposed 3D fuzzy system is discussed. Finally, effectiveness of the proposed 3D FLC design methodology is validated on a catalytic packed-bed reactor.
Wang A Course In Fuzzy Systems And Control Solution Pdfl
This volume offers full coverage of the systematic framework for the stability and design of nonlinear fuzzy control systems. Building on the Takagi-Sugeno fuzzy model, authors Tanaka and Wang address a number of important issues in fuzzy control systems, including stability analysis, systematic design procedures, incorporation of performance specifications, numerical implementations, and practical applications.
This balanced treatment features an overview of fuzzy control, modeling, and stability analysis, as well as a section on the use of linear matrix inequalities (LMI) as an approach to fuzzy design and control. It also covers advanced topics in model-based fuzzy control systems, including modeling and control of chaotic systems. Later sections offer practical examples in the form of detailed theoretical and experimental studies of fuzzy control in robotic systems and a discussion of future directions in the field.
Soft Computing is dedicated to system solutions based on soft computing techniques. It provides rapid dissemination of important results in soft computing technologies, a fusion of research in evolutionary algorithms and genetic programming, neural science and neural net systems, fuzzy set theory and fuzzy systems, and chaos theory and chaotic systems.
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