Modeling and Hierarchical Neuro-Fuzzy Control for Flexure-Based Micropositioning Systems
Journal of Intelligent and Robotic Systems
Universal approximation by hierarchical fuzzy system with constraints on the fuzzy rule
Fuzzy Sets and Systems - Fuzzy models
Modeling of hierarchical fuzzy systems
Fuzzy Sets and Systems - Theme: Learning and modeling
Hierarchical TS fuzzy system and its universal approximation
Information Sciences—Informatics and Computer Science: An International Journal
A Flexible Content Adaptation System Using a Rule-Based Approach
IEEE Transactions on Knowledge and Data Engineering
Engineering Applications of Artificial Intelligence
Expert Systems with Applications: An International Journal
A fuzzy reasoning design for fault detection and diagnosis of a computer-controlled system
Engineering Applications of Artificial Intelligence
System identification using hierarchical fuzzy neural networks with stable learning algorithm
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
From fuzzy systems to fuzzy networks
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
Advanced modelling of retail pricing by fuzzy networks
FS'08 Proceedings of the 9th WSEAS International Conference on Fuzzy Systems
Model optimisation for complex systems using fuzzy networks theory
AIKED'09 Proceedings of the 8th WSEAS international conference on Artificial intelligence, knowledge engineering and data bases
Logic-based fuzzy networks: A study in system modeling with triangular norms and uninorms
Fuzzy Sets and Systems
Intermediate variable normalization for gradient descent learning for hierarchical fuzzy system
IEEE Transactions on Fuzzy Systems
An active vibration absorber of smart panel by using a decomposed parallel fuzzy control structure
Engineering Applications of Artificial Intelligence
Fuzzy logic based adjustment control of a cable-driven auto-leveling parallel robot
IROS'09 Proceedings of the 2009 IEEE/RSJ international conference on Intelligent robots and systems
System identification using hierarchical fuzzy CMAC neural networks
ICIC'06 Proceedings of the 2006 international conference on Intelligent computing: Part II
Adaptive fuzzy regulation of the DC-bus capacitor voltage in a wind energy conversion system (WECS)
Expert Systems with Applications: An International Journal
Advanced modelling of complex processes by fuzzy networks
WSEAS Transactions on Circuits and Systems
Decomposition of a complex fuzzy controller for the truck-and-trailer reverse parking problem
Mathematical and Computer Modelling: An International Journal
Complexity management methodology for fuzzy systems with feedback rule bases
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In this letter, the hierarchical fuzzy systems are analyzed and designed. In the analysis part, we prove that the hierarchical fuzzy systems are universal approximators and analyze the sensitivity of the fuzzy system output with respect to small perturbations in its inputs. In the design part, we derive a gradient descent algorithm for tuning the parameters of the hierarchical fuzzy system to match the input-output pairs. The algorithm is simulated for two examples and the results show that the algorithm is effective and the hierarchical structure gives good approximation accuracy