New Dualities in Linear Systems and Optimal Output Control under Bounded Disturbances

التفاصيل البيبلوغرافية
العنوان: New Dualities in Linear Systems and Optimal Output Control under Bounded Disturbances
المؤلفون: Peregudin, Alexey, Furtat, Igor
سنة النشر: 2023
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Mathematics - Optimization and Control, Electrical Engineering and Systems Science - Systems and Control
الوصف: In this paper, we introduce novel equations that are dual to the ones of the well-known invariant ellipsoids method. These equations yield ellipsoids with newly established geometrical interpretations and connections to linear system norms. The established duality leads to the optimal synthesis results for state-feedback control, filtering, and output-feedback control problems in the presence of bounded disturbances. The proposed output-feedback control solution is demonstrated to be optimal and surpass prior sub-optimal results.
Comment: 12 pages, 3 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2302.09413
رقم الأكسشن: edsarx.2302.09413
قاعدة البيانات: arXiv