LMI pole regions for a robust discrete-time pole placement controller design
type: Item
instance of: scholarly article
title: LMI pole regions for a robust discrete-time pole placement controller design
zbMATH Open document ID: 1461.93177
author: Danica Rosinová
author: Mária Hypiusová
published in: Algorithms
publication date: 2020-10-08T00:00:00Z
review text: Summary: Herein, robust pole placement controller design for linear uncertain discrete time dynamic systems is addressed. The adopted approach uses the so called ``D regions'' where the closed loop system poles are determined to lie. The discrete time pole regions corresponding to the prescribed damping of the resulting closed loop system are studied. The key issue is to determine the appropriate convex approximation to the originally non-convex discrete-time system pole region, so that numerically efficient robust controller design algorithms based on Linear Matrix Inequalities (LMI) can be used. Several alternatives for relatively simple inner approximations and their corresponding LMI descriptions are presented. The developed LMI region for the prescribed damping can be arbitrarily combined with other LMI pole limitations (e.g., stability degree). Simple algorithms to calculate the matrices for LMI representation of the proposed convex pole regions are provided in a concise way. The results and their use in a robust controller design are illustrated on a case study of a laboratory magnetic levitation system.
Mathematics Subject Classification ID: 93B55
Mathematics Subject Classification ID: 93B35
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 7257787
zbMATH Keywords: robust control
zbMATH Keywords: pole placement
zbMATH Keywords: LMI regions
describes a project that uses: YALMIP
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a12080167
OpenAlex ID: W2968009678
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Wikidata QID: Q127358299
DOI: 10.3390/A12080167
description: scientific article; zbMATH DE number 7257787