Analytical synthesis of robust controllers of the given accuracy under external perturbations
- Authors: Sel’vesyuk N.I.1
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Affiliations:
- Research Institute of Aviation Systems, State Scientific Centre of the Russian Federation
- Issue: Vol 55, No 4 (2016)
- Pages: 558-569
- Section: Control in Stochastic Systems and Under Uncertainty Conditions
- URL: https://journals.rcsi.science/1064-2307/article/view/219677
- DOI: https://doi.org/10.1134/S1064230716040109
- ID: 219677
Cite item
Abstract
An approach that allows finding a set of robust statistic feedback controllers that ensure the given control accuracy for the controlled parameters in a multiconnected control system under bounded parametric and external perturbations of various classes is proposed. To describe the set of controllers of the given accuracy, the results of analytically solving the matrix equations based on matrix canonization and parametrization of the Lyapunov equation are used. The solvability conditions of the synthesis problem ensure the robustness and optimal suppression of the perturbations. They are homogeneously represented as linear matrix inequalities obtained based on the Lyapunov functions. A methodological example is given.
About the authors
N. I. Sel’vesyuk
Research Institute of Aviation Systems, State Scientific Centre of the Russian Federation
Author for correspondence.
Email: niselvesuk@2100.gosniias.ru
Russian Federation, ul. Viktorenko 7, Moscow, 125319