Robust Observer and Observer-Based Controller for Time-Delay Singular Systems

In this paper we address the problems of observer and observer‐based controller design for a class of nonlinear time‐delay singular systems. The proposed methods use particular Lyapunov functions depending on the disturbances in order to avoid a specific obstacle in the stability analysis. Consequen...

Full description

Saved in:
Bibliographic Details
Published in:Asian journal of control 2014-01, Vol.16 (1), p.80-94
Main Authors: Hassan, L., Zemouche, A., Boutayeb, M.
Format: Article
Language:English
Subjects:
Automatic Control Engineering
Computer Science
Controllers
LMI
Nonlinear equations
observer-based controller
observers
Robust control
singular systems
Time
Time-delay systems
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we address the problems of observer and observer‐based controller design for a class of nonlinear time‐delay singular systems. The proposed methods use particular Lyapunov functions depending on the disturbances in order to avoid a specific obstacle in the stability analysis. Consequently, two linear matrix inequality (LMI) conditions ensuring the ℋ ∞ convergence of the estimation error and the closed loop system were presented. These LMIs were obtained by manipulating Young's inequality in order to linearize some bilinear terms.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.669