受随机和确定性扰动的无限维系统的鲁棒镇定

2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI) Pub Date : 2021-09-21 DOI:10.1109/ICRAMI52622.2021.9585901

Kameche Amira, Kada Maissa

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引用次数: 0

摘要

研究受随机和确定性扰动的无穷维系统的鲁棒镇定问题。首先给出了参数化系统稳定性的条件。然后，我们研究了状态反馈的稳定性半径最大化问题。建立了次优控制器存在的条件。利用这些条件，我们通过无限维里卡蒂方程描述了最高可达到的稳定半径。

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Robust Stabilization of Infinite Dimensional Systems Subjected to Stochastic and Deterministic Perturbations

This paper deals with the robust stabilization of infinite dimensional systems subjected to stochastic and deterministic perturbations. First, we give conditions providing the stability of the parameterized system. Then, we investigate the maximization of the stability radius by state feedback. We establish conditions for the existence of suboptimal controllers. Using these conditions we characterize the supreme achievable stability radius via an infinite dimensional Riccati equation.

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2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)

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