𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Singular linear systems with delay: ℋ∞ stabilization

✍ Scribed by E. K. Boukas

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
147 KB
Volume
28
Category
Article
ISSN
0143-2087

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

This paper deals with the class of continuous‐time singular linear systems with time‐delay in the state vector. The stabilization problem of this class of systems using a state feedback controller is tackled. New delay‐dependent sufficient conditions on ℋ︁~∞~ stabilization are developed. A design algorithm for a memoryless state feedback controller which guarantees that the closed‐loop dynamics will be regular, impulse‐free and stable with γ‐disturbance rejection is proposed. It is shown that the addressed problem can be solved if the corresponding developed linear matrix inequalities (LMIs) with some constraints are feasible. A numerical example is employed to show the usefulness of the proposed results. Copyright © 2007 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

New delay-dependent robust stability of
New delay-dependent robust stability of discrete singular systems with time-varying delay
✍ Zhaoping Du; Qingling Zhang; Lili Liu 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 190 KB 👁 2 views

## Abstract The robust stability of discrete singular systems with time‐varying delay is considered. New delay‐dependent stability criteria are proposed, which are dependent on the minimum and maximum delay bounds. A strict delay‐dependent linear matrix inequality (LMI) condition is obtained for a

Delay-dependent H∞ control for singular
Delay-dependent H∞ control for singular Markovian jump systems with time delay
✍ Zhengguang Wu; Hongye Su; Jian Chu 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 144 KB

## Abstract The problem of delay‐dependent __H__~∞~ control is considered for singular Markovian jump systems with time delay. The aim of the problem is to design a state feedback controller, which guarantees that the resultant closed‐loop system is not only regular, impulse free and stochastically

A way to stabilize linear systems with d
A way to stabilize linear systems with delayed state
✍ T. Mori; E. Noldus; M. Kuwahara 📂 Article 📅 1983 🏛 Elsevier Science 🌐 English ⚖ 255 KB

~A simple method is proposed for stabilizing linear systems with delayed state, using linear feedback. The method requires checking the negativity of a matrix containing two free parameters, and solving a matrix Lyapunov equation with these parameters. A known stabilizability criterion and a simpie