Suboptimal control strategies for finite-time nonlinear processes with input constraints
type: Item
instance of: scholarly article
title: Suboptimal control strategies for finite-time nonlinear processes with input constraints
zbMATH Open document ID: 1407.49024
DOI: 10.1155/2013/182034
author: P. S. Rivadeneira
author: Eduardo J. Adam
published in: Journal of Nonlinear Dynamics
publication date: 2019-02-27T00:00:00Z
review text: Summary: Novel techniques for the optimization and control of finite-time processes in real-time are pursued. These are developed in the framework of the Hamiltonian optimal control. Two methods are designed. The first one constructs the reference control trajectory as an approximation of the optimal control via the Riccati equations in an adaptive fashion based on the solutions of a set of partial differential equations called the \(\alpha\) and \(\beta\) matrices. These allow calculating the Riccati gain for a range of the duration of the process \(T\) and the final penalization \(S\). The second method introduces input constraints to the general optimization formulation. The notions of linear matrix inequalities allow us to recuperate the Riccati gain as in the first method, but using an infinite horizon optimization method. Finally, the performance of the proposed strategies is illustrated through numerical simulations applied to a batch reactor and a penicillin fed-batch reactor.
Mathematics Subject Classification ID: 49K15
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 7029923
Wikidata QID: Q59016322
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/182034
OpenAlex ID: W2115900946
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description: scientific article; zbMATH DE number 7029923