Title
Hierarchical Fuzzy CMAC for Nonlinear Systems Modeling
Abstract
Since the fuzzy cerebellar model articulation controller (FCMAC) uses linguistic variables, it is highly intuitive and easily comprehended. Despite the FCMAC's good local generalization capability for approximating nonlinear functions and fast learning, a normal FCMAC requires huge memory, and its dimension increases exponentially with the number of inputs. In order to overcome the memory explosion problem, this paper proposes two types of hierarchical FCMAC (HFCMAC). Another contribution of the paper is that we give stable learning algorithms for these two HFCMACs. Backpropagation-like approach is applied to train each block with a time-varying learning rate, which is obtained by the input-to-state stability technique.
Year
DOI
Venue
2008
10.1109/TFUZZ.2008.926579
IEEE T. Fuzzy Systems
Keywords
Field
DocType
stable learning algorithm,hierarchical,good local generalization capability,fuzzy set theory,hierarchical fuzzy cmac,neurocontrollers,approximation theory,time-varying systems,fuzzy cmac,hierarchical fcmac,dimension increases exponentially,fuzzy cerebellar model articulation controller,huge memory,input-to-state stability technique,normal fcmac,nonlinear systems modeling,nonlinear control systems,nonlinear functions,linguistic variables,recurrent,fuzzy control,backpropagation-like approach,learning algorithms,time-varying learning rate,memory explosion problem,stability,stable modeling,cerebellar model arithmetic computers,fuzzy cerebellar model articulation,fuzzy systems,indexing terms,fuzzy sets,neurofeedback,modeling,feedforward neural networks,backpropagation,nonlinear systems,neural networks,nonlinear system
Feedforward neural network,Nonlinear system,Control theory,Fuzzy cmac,Approximation theory,Fuzzy set,Artificial intelligence,Fuzzy control system,Artificial neural network,Fuzzy cerebellar model articulation controller,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
16
5
1063-6706
Citations 
PageRank 
References 
16
0.77
31
Authors
3
Name
Order
Citations
PageRank
Wen Yu128322.70
F. O. Rodriguez2160.77
M. A. Moreno-Armendariz3160.77