Emotional neural networks with universal approximation property for stable direct adaptive nonlinear control systems

2020 ◽  
Vol 89 ◽  
pp. 103447 ◽  
Author(s):  
F. Baghbani ◽  
M.-R. Akbarzadeh-T ◽  
M.-B. Naghibi-Sistani ◽  
Alireza Akbarzadeh
1993 ◽  
Author(s):  
Allan Wirth ◽  
Andrew J. Jankevics ◽  
Sol W. Gully ◽  
Michael Athans ◽  
James Huang

1993 ◽  
Vol 115 (1) ◽  
pp. 196-203 ◽  
Author(s):  
C. J. Goh ◽  
Lyle Noakes

Consider a nonlinear control system, whose structure is not known (apart from the order of the system) and whose states are not observed. We observe the output of the system for a period of time using persistently exciting input, and use the observation to train a neural network emulator whose output approximates that of the original system. We point out that such an explicit dynamical relationship between the input and the output is useful for the purpose of construction of output feedback controller for nonlinear control systems. Specialization of the method to linear systems allows swift convergence and parameter identification in some cases.


1994 ◽  
Author(s):  
Sol W. Gully ◽  
James Huang ◽  
Nikolaos Denis ◽  
Douglas P. Looze ◽  
Allan Wirth ◽  
...  

2004 ◽  
Author(s):  
Christopher I. Byrnes ◽  
Alberto Isidori

Author(s):  
VLADIK KREINOVICH ◽  
HUNG T. NGUYEN ◽  
DAVID A. SPRECHER

This paper addresses mathematical aspects of fuzzy logic. The main results obtained in this paper are: 1. the introduction of a concept of normal form in fuzzy logic using hedges; 2. using Kolmogorov’s theorem, we prove that all logical operations in fuzzy logic have normal forms; 3. for min-max operators, we obtain an approximation result similar to the universal approximation property of neural networks.


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