scholarly journals The method of extremal shift in control problems for evolution variational inequalities under disturbances

2021 ◽  
Vol 0 (0) ◽  
pp. 0
Author(s):  
Vyacheslav Maksimov

<p style='text-indent:20px;'>The problems of designing feedback control algorithms for parabolic and hyperbolic variational inequalities are considered. These algorithms should preserve given properties of solutions of inequalities under the action of unknown disturbances. Solving algorithms that are stable with respect to informational noises are constructed. The algorithms are based on the method of extremal shift well-known in the theory of guaranteed control.</p>

Author(s):  
Ye.I. Somov ◽  
◽  
S.A. Butyrin ◽  
S.Ye. Somov ◽  
◽  
...  

The control problems on a space robot during its approach to an information geostationary satellite are considered. The robot motion control system uses an electric propulsion system with 8 engines at the pulse-width modulation of their thrust values and a gyroscopic moment cluster based on 4 gyrodines with digital control. Numerical results are presented that demonstrate the effectiveness of the developed discrete guidance and control algorithms.


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