By Huaguang Zhang
Fuzzy common sense method has confirmed powerful in facing advanced nonlinear structures containing uncertainties which are differently tough to version. expertise in keeping with this system is appropriate to many real-world difficulties, specifically within the zone of buyer items. This publication provides the 1st entire, unified remedy of fuzzy modeling and fuzzy keep an eye on, supplying instruments for the keep an eye on of advanced nonlinear platforms. assurance contains version complexity, version precision, and computing time. this can be a superb reference for electric, computing device, chemical, business, civil, production, mechanical and aeronautical engineers, and in addition helpful for graduate classes in electric engineering, desktop engineering, and computing device technology.
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Extra info for Fuzzy Modeling and Fuzzy Control (Control Engineering)
Example text
16^2(A: - 4). 9751. 52 Chapter 2. 3. 3 (cf. S7u2{k - 4). 9765. 7318. 16.
5 (b), it is divided by {small}, {mediumi}, {medium2},... , a total of g + 1 fuzzy subsets (g > 2). 2. 5. 31. 42 Chapter 2. 5: The division of premise parameters Xi value range. 2. 3 An Off-Line Fuzzy Identification Algorithm 43 It is easy to see that parameters of the original data are close to the parameters of the identified model. If there is no noise, the identified model and the original data will be identical. 3 Premise Structure Identification There are two problems involved in the identification of a premise structure.
The two inequalities in the above properties (6) and (7) have brought inconvenience and difficulties in many fields as pointed out by Pawlak in [8]: Approximations cannot be computed step-by-step, because the lower approximation of the union of sets is not necessarily equal to the union of the lower approximation of the component sets; similarly, the upper approximation of the intersection of sets needs not to be equal to the intersection of the upper approximation of the component sets. This means that, in general, the data table cannot be separated into smaller parts (or that tables cannot be combined together), for results obtained from separated (or integrated) tables may differ.