taylor's formula
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2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Di-Fen Shi ◽  
Yuan-Long Hou ◽  
Xiao-Hui Gu ◽  
Run-Min Hou

In this paper, a novel active disturbance rejection control (NADRC) with a super-twisting extended state observer (SESO) is utilized in the rocket launcher servo system. The main arguments in the shipborne rocket launcher system are control accuracy and antidisturbance ability, which are closely related to phase delay and bandwidth. Firstly, we use Taylor’s formula approach to compensate the phase delay in traditional tracking differentiator (TD). Secondly, we design the parallel structured SESO to improve the observation bandwidth, so that it can estimate states with desired accuracy in NADRC. Finally, sinusoidal simulation results show Taylor’s formula-based TD can suppress noise and compensate phase delays effectively. In comparison with traditional ADRC, the proposed NADRC is shown to have better tracking performance and stronger robustness. Semiphysical experiments are conducted to prove the feasibility of NADRC.


2020 ◽  
Vol 6 (2) ◽  
pp. 266-280
Author(s):  
George A. Anastassiou

AbstractRelied on author’s first ever found multivariate Caputo fractional Taylor’s formula (2009, [1], Chapter 13), we develop and prove several multivariate left side Caputo fractional uniform Landau type inequalities.


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