Exponential H∞ filtering for uncertain discrete-time switched linear systems with average dwell time: A µ-dependent approach

Date

2008

Authors

Zhang, L.
Boukas, E.
Shi, P.

Editors

Advisors

Journal Title

Journal ISSN

Volume Title

Type:

Journal article

Citation

International Journal of Robust and Nonlinear Control, 2008; 18(11):1188-1207

Statement of Responsibility

Lixian Zhang, El-Kebir Boukas and Peng Shi

Conference Name

Abstract

<jats:title>Abstract</jats:title><jats:p>In this paper, the problem of exponential<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>filter problem for a class of discrete‐time polytopic uncertain switched linear systems with average dwell time switching is investigated. The exponential stability result of the general discrete‐time switched systems using a discontinuous piecewise Lyapunov function approach is first explored. Then, a new µ‐<jats:italic>dependent</jats:italic>approach is proposed, which means the analysis or synthesis of the underlying systems is dependent on the increase degree µ of the piecewise Lyapunov function at the switching instants. A mode‐dependent full‐order filter is designed such that the developed filter error system is robustly exponentially stable and achieves an exponential<jats:italic>H</jats:italic><jats:sub>∞</jats:sub>performance. Sufficient existence conditions for the desired filter are derived and formulated in terms of a set of linear matrix inequalities, and consequently the minimal average dwell time and the corresponding filter are obtained from such conditions for a given system decay degree. A numerical example is presented to demonstrate the potential and effectiveness of the developed theoretical results. Copyright © 2007 John Wiley &amp; Sons, Ltd.</jats:p>

School/Discipline

Dissertation Note

Provenance

Description

Access Status

Rights

Copyright © 2007 John Wiley & Sons, Ltd.

License

Grant ID

Call number

Persistent link to this record