Stabilizing feedback for dynamical systems with bounded disturbances
type: Item
instance of: scholarly article
title: Stabilizing feedback for dynamical systems with bounded disturbances
zbMATH Open document ID: 0899.93033
author: V. G. Medvedev
author: Rafail Gabasov
author: Faina Mihaǐlovna Kirillova
published in: Journal of Computer and Systems Sciences International
publication date: 1998-06-02T00:00:00Z
review text: The authors study a regulation problem for completely observable, completely controllable linear systems with single input and bounded disturbances \[ \dot x= Ax+ bu+ w(t),\quad y= Hx. \] More precisely, given \(L> 0\), \(\varepsilon> 0\) and an open neighborhood \(G\) of the origin, it is required to find \(u= u(x)\) in such a way that 1) \(| u(x)|\leq L\), for \(x\in G\), 2) \(u\) asymptotically stabilizes the system when \(w= 0\), 3) for each \(x_0\in G\) there exists \(t^*\) such that \(| y(t)|<\varepsilon\) for \(t> t^*\). The problem is reduced to solving an associated optimization problem. The results are illustrated by a number of applicative examples.
Mathematics Subject Classification ID: 93C73
Mathematics Subject Classification ID: 93D21
zbMATH DE Number: 1157997
zbMATH Keywords: output regulation
zbMATH Keywords: optimization
zbMATH Keywords: feedback stabilization
zbMATH Keywords: saturation
zbMATH Keywords: regulation problem
zbMATH Keywords: bounded disturbances
reviewed by: Andrea Bacciotti
MaRDI profile type: Publication
Recommended article: Stabilization of dynamic systems by bounded feedbacks
Recommended article: Q4515889
Recommended article: On the stabilization of feedforward systems with bounded control
Recommended article: Feedback stabilization for perturbed linear systems*
Recommended article: Feedback stabilization of nonlinear systems by locally bounded controls
Recommended article: Stabilization of linear controllable systems by means of bounded continuous nonlinear feedback control
Recommended article: Asymptotically stabilizing feedback controls
Recommended article: Feedback stabilization of a class of nonsmooth systems
Recommended article: Q4422885
description: scientific article; zbMATH DE number 1157997