A Bayesian Robust Observation Design Approach for Systems with (Large) Parametric Uncertainties

التفاصيل البيبلوغرافية
العنوان: A Bayesian Robust Observation Design Approach for Systems with (Large) Parametric Uncertainties
المؤلفون: Xiaoke Su, Hong Yue, Xian Wei, Hui Yu
المصدر: IFAC-PapersOnLine. 53:16506-16511
بيانات النشر: Elsevier BV, 2020.
سنة النشر: 2020
مصطلحات موضوعية: 0209 industrial biotechnology, Mathematical optimization, Computer science, TK, 020208 electrical & electronic engineering, Bayesian probability, Posterior probability, Sampling (statistics), 02 engineering and technology, Scheduling (computing), symbols.namesake, 020901 industrial engineering & automation, Brittleness, Control and Systems Engineering, Convex optimization, 0202 electrical engineering, electronic engineering, information engineering, symbols, Bayesian experimental design, Gaussian quadrature, Parametric statistics
الوصف: Classical optimal experimental design (OED) methods have not been fully exploited in modeling of complex systems, due to the brittle design results generated based on prior models and computational burden in the optimization scheme. In this work, a novel method for robust experimental design (RED) of combined measurement set selection and sampling time scheduling has been proposed for systems with large parameter uncertainties. A Bayesian design framework is employed, involving Gaussian quadrature formula (GQF) approximation of the expected performance of the posterior distribution over uncertain parameter domain. The robust Bayesian experimental design (BED) has been relaxed to a semi-definite programming (SDP) problem which can be solved as a convex optimization problem. The proposed method has been examined by simulation studies on a lab-scale enzymatic biodiesel production system, with results compared to OED and uniform sampling under two design scenarios.
وصف الملف: application/pdf
تدمد: 2405-8963
1474-6670
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83ff5e168d771491227c27e5be2a5f20
https://doi.org/10.1016/j.ifacol.2020.12.757
حقوق: OPEN
رقم الأكسشن: edsair.doi.dedup.....83ff5e168d771491227c27e5be2a5f20
قاعدة البيانات: OpenAIRE