Robust local stabilization of discrete-time systems with time-varying state delay and saturating actuators
type: Item
instance of: scholarly article
title: Robust local stabilization of discrete-time systems with time-varying state delay and saturating actuators
zbMATH Open document ID: 1427.93214
DOI: 10.1155/2018/5013056
author: J. V. V. Silva
author: Luis Silva
author: Valter J. S. Leite
author: Ignacio Rubio Scola
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The robust local stabilization of uncertain discrete-time systems with time-varying state delayed and subject to saturating actuators is investigated in this work. A convex optimization method is proposed to compute robust state feedback control law such that the uncertain closed-loop is locally asymptotically stable if the initial condition belongs to an estimate of the region of attraction for the origin. The proposed procedure allows computing estimates of the region of attraction through the intersection of ellipsoidal sets in an augmented space, reducing the conservatism of the estimates found in the literature. Also, the conditions can handle the amount of delay variation between two consecutive samples, which is new in the literature for the discrete-time case. Although the given synthesis conditions are delay dependent, the proposed control law is delay independent, yielding to easier real time implementations. A convex procedure is proposed to maximize the size of the set of safe initial conditions. Numerical examples are provided to illustrate the effectiveness of our approach and also to compare it with other conditions in the literature.
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 7019064
describes a project that uses: PICOS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5013056
OpenAlex ID: W2884436466
Wikidata QID: Q58936156
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description: scientific article; zbMATH DE number 7019064