Anisotropy-Based Controller Design for Linear Discrete-Time Systems with Multiplicative Noise
- 作者: Yurchenkov A.1,2
-
隶属关系:
- Bauman Moscow State Technical University
- Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
- 期: 卷 57, 编号 6 (2018)
- 页面: 864-873
- 栏目: Control in Stochastic Systems and Under Uncertainty Conditions
- URL: https://journals.rcsi.science/1064-2307/article/view/220238
- DOI: https://doi.org/10.1134/S1064230718060138
- ID: 220238
如何引用文章
详细
This paper extends anisotropy-based control theory methods to the class of linear discrete-time systems with multiplicative noise, which involves an informational criterion to describe the stochastic uncertainty of an external disturbance. An approximate calculation method for the anisotropic norm of such systems using decomposition into linear subsystems without multiplicative noise is suggested. The cases of perfect and imperfect state measurements are considered. The existence criterion for anisotropy-based controllers in form of special matrix inequalities is established.
作者简介
A. Yurchenkov
Bauman Moscow State Technical University; Trapeznikov Institute of Control Sciences, Russian Academy of Sciences
编辑信件的主要联系方式.
Email: alexander.yurchenkov@yandex.ru
俄罗斯联邦, Moscow; Moscow
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