Open AccessGuaranteeing the accuracy of digital control of a linear periodic object within the set of stabilizing regulators
Author(s) -
V. O. Rybinskii,
Efim N. Rosenwasser,
Jens Ladisch,
Wolfgang Drewelow,
Torsten Jeinsch
Publication year - 2020
Publication title -
ifac-papersonline
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.308
H-Index - 72
eISSN - 2405-8971
pISSN - 2405-8963
DOI - 10.1016/j.ifacol.2020.12.596
Subject(s) - control theory (sociology) , transfer function , parametric statistics , set (abstract data type) , object (grammar) , computer science , digital control , linear system , norm (philosophy) , task (project management) , class (philosophy) , mathematics , control (management) , mathematical optimization , engineering , artificial intelligence , mathematical analysis , statistics , electrical engineering , law , political science , programming language , systems engineering
The article considers the task of optimization of a digital control system for a linear continuous periodic object. It is supposed that the system operates under the conditions of uncertainty of an external stationary stochastic disturbance applied directly to the periodic object. For the description of the system dynamics in continuous time the apparatus of the parametric transfer function is used. As an optimization criterion the score of guaranteed accuracy is used, which is an estimate of the H2-norm of the system on the class of perturbations. The optimization is performed on the set of stabilizing causal controllers. An example is given.
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