Discrete-time stability analysis of a control architecture for heterogeneous robotic systems

Author(s):  
Magnus Bjerkeng ◽  
Pietro Falco ◽  
Ciro Natale ◽  
Kristin Y. Pettersen
2014 ◽  
Vol 2014 ◽  
pp. 1-11 ◽  
Author(s):  
M. A. Hussain ◽  
Jarinah Mohd Ali ◽  
M. J. H. Khan

This paper discusses the discrete-time stability analysis of a neural network inverse model control strategy for a relative order two nonlinear system. The analysis is done by representing the closed loop system in state space format and then analyzing the time derivative of the state trajectory using Lyapunov’s direct method. The analysis shows that the tracking output error of the states is confined to a ball in the neighborhood of the equilibrium point where the size of the ball is partly dependent on the accuracy of the neural network model acting as the controller. Simulation studies on the two-tank-in-series system were done to complement the stability analysis and to demonstrate some salient results of the study.


2015 ◽  
Vol 159 ◽  
pp. 263-267 ◽  
Author(s):  
Jianjun Bai ◽  
Renquan Lu ◽  
Anke Xue ◽  
Qingshan She ◽  
Zhonghua Shi

2014 ◽  
Vol 2 (4) ◽  
pp. 161-169
Author(s):  
D.Ravi kiran ◽  
B.Rami reddy ◽  
N.Ch. Pattabhiramacharyulu

2014 ◽  
Vol 30 (3) ◽  
pp. 745-753 ◽  
Author(s):  
Magnus Bjerkeng ◽  
Pietro Falco ◽  
Ciro Natale ◽  
Kristin Y. Pettersen

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