Optimal, constant I/O similarity scaling for full-information and state- feedback control problems
type: Item
instance of: scholarly article
title: Optimal, constant I/O similarity scaling for full-information and state- feedback control problems
zbMATH Open document ID: 0772.49021
DOI: 10.1016/0167-6911(92)90065-Z
author: P. K. Pandey
author: Jorn Leonhardson
author: Andrew K. Packard
author: Kemin Zhou
author: Gary Balas
published in: Systems \& Control Letters
publication date: 1993-01-17T00:00:00Z
review text: The paper discusses the optimal constant scaling problem of full- information \(H_ \infty\) control. The problem arises, because it is impossible to capture all robustness and performance in a single \(H_ \infty\) norm cost function. Alternatively, diagonal similarity scalings of certain closed loop transfer functions can be used. The set of allowable diagonal scalings is problem dependent. The scaling set considered in the paper is a prescribed convex set of positive definite matrices. The solution to the posed problem is obtained by transforming the original problem into a convex feasibility problem, specifically, a structured, linear matrix inequality. In special cases, solvability of the full-information problem is equivalent to solvability of the state- feedback problem. The paper concludes with a numerical example.
Mathematics Subject Classification ID: 90C25
Mathematics Subject Classification ID: 93B35
zbMATH DE Number: 96177
zbMATH Keywords: robust control
zbMATH Keywords: optimal constant scaling problems
zbMATH Keywords: full-information \(H_ \infty\) control
zbMATH Keywords: state-feedback problem
reviewed by: Heikki N. Koivo
describes a project that uses: QDES
MaRDI profile type: Publication
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full work available at URL: 0167-6911(92)90065-z
OpenAlex ID: W2144263793
description: scientific article; zbMATH DE number 96177