tailieunhanh - Frontiers in Robotics, Automation and Control Part 5

Tham khảo tài liệu 'frontiers in robotics, automation and control part 5', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Robot Control by Fuzzy Logic 113 The main component is represented by the Fuzzy Logic Controller FLC that generates the control law by a knowledge-based system consisting of IF . THEN rules with vague predicates and a fuzzy logic inference mechanism Jager Filev 1994 Yan et al. 1994 Gupta et al. 1979 Dubois Prade 1979 . A FLC will implement a control law as an error function in order to secure the desired performances of the system. It contains three main components the fuzzifier the inference system and the defuzzifier. Crisp Fuzzy Fuzzy variables variables variables Crisp variables Fig. 2. 3. The structure of the fuzzy logic control The fuzzifier has the role to convert the measurements of the error into fuzzy data. In the inference system linguistic and physical variables are defined. For the each physical variable the universe of discourse the set of linguistic variables the membership functions and parameters are specified. One option giving more resolution to the current value of the physical variable is to normalize the universe of discourse. The rules express the relation between linguistic variables and derive from human experience-based relations generalization of algorithmic non fully satisfactory control laws training and learning Gupta et al. 1979 Dubois Prade 1979 . The typical rules are the state evaluation rules where one or more antecedent facts imply a consequent fact. Defuzzifier combines the reasoning process conclusions into a final control action. Different models may be applied such as the most significant value of the greatest membership function the computation of the averaging the membership function peak values or the weighted average of all the concluded membership functions. The FLC generates a control law in a general form u k F e k e k-1 . e k-p u k-1 u k-2 . u k-p Technical constraints limit the dimension of vectors. Also the typical FLC uses the error change Ae k e k - e k-1 and for the control Au k u k - u k-1 114 .

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