Dynamic Neural Network-Based Output Feedback Tracking Control for Uncertain Nonlinear Systems

Author(s):  
Huyen T. Dinh ◽  
S. Bhasin ◽  
R. Kamalapurkar ◽  
W. E. Dixon

A dynamic neural network (DNN) observer-based output feedback controller for uncertain nonlinear systems with bounded disturbances is developed. The DNN-based observer works in conjunction with a dynamic filter for state estimation using only output measurements during online operation. A sliding mode term is included in the DNN structure to robustly account for exogenous disturbances and reconstruction errors. Weight update laws for the DNN, based on estimation errors, tracking errors, and the filter output are developed, which guarantee asymptotic regulation of the state estimation error. A combination of a DNN feedforward term, along with the estimated state feedback and sliding mode terms yield an asymptotic tracking result. The developed output feedback (OFB) method yields asymptotic tracking and asymptotic estimation of unmeasurable states for a class of uncertain nonlinear systems with bounded disturbances. A two-link robot manipulator is used to investigate the performance of the proposed control approach.

Author(s):  
Mark Spiller ◽  
Dirk Söffker

This article is addressed to the topic of robust state estimation of uncertain nonlinear systems. In particular, the smooth variable structure filter (SVSF) and its relation to the Kalman filter is studied. An adaptive Kalman filter is obtained from the SVSF approach by replacing the gain of the original filter. Boundedness of the estimation error of the adaptive filter is proven. The SVSF approach and the adaptive Kalman filter achieve improved robustness against model uncertainties if filter parameters are suitably optimized. Therefore, a parameter optimization process is developed and the estimation performance is studied.


1998 ◽  
Vol 120 (1) ◽  
pp. 149-153 ◽  
Author(s):  
Jie Huang

Asymptotic tracking and disturbance rejection in uncertain nonlinear systems is studied in the context of output feedback control. This study is facilitated by formalizing the notion of k-fold exosystem and generalizing the internal model principle to the nonlinear setting.


2014 ◽  
Vol 60 ◽  
pp. 44-52 ◽  
Author(s):  
H.T. Dinh ◽  
R. Kamalapurkar ◽  
S. Bhasin ◽  
W.E. Dixon

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