Robust Finite-Time ℋ∞ Control for Uncertain Systems Subject to Intermittent Measurements

This paper investigates the robust finite-time ℋ∞ controller design problem of discrete-time systems with intermittent measurements. It is assumed that the system is subject to the norm-bounded uncertainties and the measurements are intermittent. The Bernoulli process is used to describe the phenome...

Full description

Saved in:
Bibliographic Details
Main Author: Zhenghong Deng
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2012/504356
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper investigates the robust finite-time ℋ∞ controller design problem of discrete-time systems with intermittent measurements. It is assumed that the system is subject to the norm-bounded uncertainties and the measurements are intermittent. The Bernoulli process is used to describe the phenomenon of intermittent measurements. By substituting the state-feedback controller into the system, a stochastic closed-loop system is obtained. Based on the analysis of the robust stochastic finite-time stability and the ℋ∞ performance, the controller design method is proposed. The controller gain can be calculated by solving a sequence of linear matrix inequalities. Finally, a numerical example is used to show the design procedure and the effectiveness of the proposed design methodology.
ISSN:1026-0226
1607-887X