Predictive Control Based on Information Fusion Optimal Estimation for Nonlinear Discrete System

2009 ◽  
Vol 34 (3) ◽  
pp. 331-336 ◽  
Author(s):  
Zi-Yang ZHEN
Keyword(s):  
Predictive Control ◽  
Information Fusion ◽  
Discrete System ◽  
Optimal Estimation ◽  
Nonlinear Discrete System

scholarly journals Detecting and stabilizing periodic orbits of chaotic Henon map through predictive control

2018 ◽  
Vol 27 (2018) ◽  
pp. 73-78
Author(s):  
Dumitru Deleanu
Keyword(s):  
Periodic Orbits ◽  
Predictive Control ◽  
Nonnegative Integer ◽  
Strange Attractor ◽  
Discrete System ◽  
Control Method ◽  
Nonlinear Mapping ◽  
Unstable Periodic Orbits ◽  
Hénon Map ◽  
Henon Map

The predictive control method is one of the proposed techniques based on the location and stabilization of the unstable periodic orbits (UPOs) embedded in the strange attractor of a nonlinear mapping. It assumes the addition of a small control term to the uncontrolled state of the discrete system. This term depends on the predictive state ps + 1 and p(s + 1) + 1 iterations forward, where s is the length of the UPO, and p is a large enough nonnegative integer. In this paper, extensive numerical simulations on the Henon map are carried out to confirm the ability of the predictive control to detect and stabilize all the UPOs up to a maximum length of the period. The role played by each involved parameter is investigated and additional results to those reported in the literature are presented.

Sliding mode control based on U model for nonlinear discrete system with modeling uncertainties

2018 ◽  
Vol 22 (S3) ◽  
pp. 7471-7480
Author(s):  
Fengxia Xu ◽  
Xiaohui Song ◽  
Hongliang Ren ◽  
Shanshan Wang
Keyword(s):  
Sliding Mode Control ◽  
Discrete System ◽  
Sliding Mode ◽  
Mode Control ◽  
Modeling Uncertainties ◽  
Nonlinear Discrete System
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