Open AccessSolving the Brokett problem based on robust stabilization
Author(s) -
E. A. Serdechnaya
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1864/1/012036
Subject(s) - regulator , modal , robust control , adaptation (eye) , control theory (sociology) , mathematics , variable (mathematics) , mathematical optimization , computer science , task (project management) , control (management) , control system , engineering , artificial intelligence , mathematical analysis , biochemistry , chemistry , physics , optics , polymer chemistry , electrical engineering , gene , systems engineering
The paper proposes a method for solving the Brockett problem based on the synthesis of robust modal control for systems with non-stationary parameters, which does not require complex adaptation algorithms that involve the introduction of a variable regulator matrix. A transition to the task of synthesizing the regulator is shown, using a certain optimality criterion with limitations, which provides similar values to those of the regulator coefficients. A practical numerical example of setting and solving this problem is presented, which confirms the effectiveness of the proposed method. To illustrate the results obtained, a root travel time curve was constructed for two systems: robust and non-robust.