Estimation and control with cubic nonlinearities
type: Item
instance of: scholarly article
title: Estimation and control with cubic nonlinearities
zbMATH Open document ID: 0594.93059
DOI: 10.1007/BF00938812
author: J. V. Breakwell
author: Moti Shefer
published in: Journal of Optimization Theory and Applications
publication date: 1987-01-01T00:00:00Z
review text: The nonlinearities in a dynamic system and its measurement equations are assumed to be cubic and small, i.e., all proportional to a single scalar small parameter \(\epsilon\). The optimal digital nonlinear feedback control law is carried through the first power of \(\epsilon\), taking into account the non-Gaussian character of the state conditional distribution. The optimal law involves cubic and linear terms in the state estimate, as well as higher moments of the state conditional distribution.
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 62E99
zbMATH DE Number: 3956942
zbMATH Keywords: nonlinearities
zbMATH Keywords: optimal digital nonlinear feedback control law
zbMATH Keywords: state estimate
MaRDI profile type: Publication
cites work: Perturbation guidance laws for perfect information interceptors withsymmetrical nonlinearities
cites work: Stochastic processes and filtering theory
cites work: Adaptive dual control for stochastic nonlinear systems with free end-time
full work available at URL: https://doi.org/10.1007/bf00938812
OpenAlex ID: W2907574262
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description: scientific article; zbMATH DE number 3956942