On output feedback multiobjective control for singularly perturbed systems
type: Item
instance of: scholarly article
title: On output feedback multiobjective control for singularly perturbed systems
zbMATH Open document ID: 1213.93064
DOI: 10.1155/2011/903126
author: Mehdi Ghasem Moghadam
author: Mohammad Taghi Hamidi Beheshti
published in: Mathematical Problems in Engineering
publication date: 2011-06-07T00:00:00Z
full work available at URL: https://eudml.org/doc/232067
review text: Summary: A new design procedure for a robust \(H_2\) and \(H_{\infty}\) control of continuous-time singularly perturbed systems via dynamic output feedback is presented. By formulating all objectives in terms of a common Lyapunov function, the controller will be designed through solving a set of inequalities. Therefore, a dynamic output feedback controller is developed such that \(H_{\infty}\) and \(H_2\) performance of the resulting closed-loop system is less than or equal to some prescribed value. Also, \(H_{\infty}\) and \(H_2\) performance for a given upperbound of singular perturbation parameter \(\epsilon \in (0, {\epsilon}{\ast}]\) are guaranteed. It is shown that the \(\epsilon\)-dependent controller is well defined for any \(\epsilon \in (0, {\epsilon}{\ast}]\) and can be reduced to an \(\epsilon\)-independent one so long as \(\epsilon\) is sufficiently small. Finally, numerical simulations are provided to validate the proposed controller. Numerical simulations coincide with the theoretical analysis.
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93B36
zbMATH DE Number: 5904927
MaRDI profile type: Publication
OpenAlex ID: W2031018097
Wikidata QID: Q58693635
cites work: Q3996810
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description: scientific article; zbMATH DE number 5904927