Basic optimal estimation and control problems in Hilbert space

1978 ◽  
Vol 12 (1) ◽  
pp. 175-203 ◽  
Author(s):  
R. M. DeSantis ◽  
R. Saeks ◽  
L. J. Tung
2017 ◽  
Vol 62 (9) ◽  
pp. 4564-4579 ◽  
Author(s):  
Hong Lin ◽  
Hongye Su ◽  
Peng Shi ◽  
Zhan Shu ◽  
Renquan Lu ◽  
...  

Author(s):  
Erdinc Sahin ◽  
Mustafa Sinasi Ayas

Abstract Control of chaos generally refers to realize a desired behavior of chaotic system output and its states. In this manner, we design a fractional high-order differential feedback controller (FHODFC) to increase tracking performance of a nonlinear system output and its differentials for a desired trajectory signal. The proposed controller is based on fractional calculus and high-order extracted differentials of error signal. The suggested fractional approach is applied to a single-input–single-output affine Duffing-Holmes dynamical system in matlab/simulink environment. Duffing-Holmes system is analyzed for two different problems: estimation and control problems. The simulation results clearly demonstrate superior dynamic behavior of the FHODFC compared to the classical high-order differential feedback controller (HODFC) version for both estimation and control problems.


2017 ◽  
Vol 25 (3) ◽  
pp. 1060-1067 ◽  
Author(s):  
Joshua A. Taylor ◽  
Natchanon Luangsomboon ◽  
Dariush Fooladivanda

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