Optimal excitation and measurement pattern for cascade networks

Autor:	Mapurunga, Eduardo, Bazanella, Alexandre Sanfelice
Rok vydání:	2021
Předmět:	Electrical Engineering and Systems Science - Systems and Control Mathematics - Optimization and Control Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	This work deals with accuracy analysis of dynamical systems interconnected in a cascade structure. For a cascade network there are a number of experimental settings for which the dynamic systems within the network can be identified. We study the problem of choosing which excitation and measurement pattern delivers the most accurate parameter estimates for the whole network. The optimal experiment is based on the accuracy assessed through the asymptotic covariance matrix of the prediction error method, while the cost criterion is the number of excitations and measurements. We develop theoretical results under the assumptions that all dynamic systems are equal and with equal signal-to-noise ratio throughout the network. We show that there are experimental settings which result in equal overall precision and that there is an excitation and measurement pattern that yields more accurate results than others. From these results a guideline based on the topology of the network emerges for the choice of the experimental setting. We provide numerical results which attest that the principles behind this guideline are also valid for more general situations. Comment: Submitted for review
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.10459 Zobrazit plný text záznamu View this record from Arxiv