Radial basis functions for multivariable interpolation: a review
Algorithms for approximation
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Neural Networks: A Comprehensive Foundation
Neural Networks: A Comprehensive Foundation
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This paper presents a nonlinear multivariable fitting model to allow an autonomous mobile robot to reach a goal while avoiding obstacles. Radial Basis Function (RBF) neural networks are used to find the non-linear functions. These networks are designed using fuzzy clustering. This approach has the advantages to be very fast, very simple to implement, with well established convergence properties, and a good representation of the covariance matrix since all the data belong to all the classes at the same time with different membership levels. According to several parameters computed for a specific position of the robot, the non-linear functions allow the calculation of the robot's next position. A way to integrate the RBF networks into a more complex and efficient algorithm is also proposed. Simulation and experimental results show the effectiveness of the proposed approach.