0
Journal of Dynamic Systems, Measurement, and Control | Volume 132 | Issue 5 | Research Paper
Research Papers

New Stabilization Schemes for Linear Hybrid Systems With Time-Varying Delays

[+] Author and Article Information
Magdi S. Mahmoud1

Department of Systems Engineering, King Fahd University of Petroleum and Minerals, P.O. Box 985, Dhahran 31261, Saudi Arabiamsmahmoud@kfupm.edu.sa

Sami A. Elferik

Department of Systems Engineering, King Fahd University of Petroleum and Minerals, P.O. Box 985, Dhahran 31261, Saudi Arabiaselferik@kfupm.edu.sa

Throughout this paper, we use the terms hybrid and switched interchangeably to mean one another.

Systems where the dynamical matrices evolve in a polytope defined by its vertices.

1

Corresponding author.

J. Dyn. Sys., Meas., Control 132(5), 051007 (Aug 19, 2010) (11 pages) doi:10.1115/1.4002102 History: Received May 21, 2008; Revised April 07, 2010; Published August 19, 2010; Online August 19, 2010
Article
References
Figures
Tables

In this paper, we provide new stabilization schemes for a class of linear hybrid time-delay systems under arbitrary switching. These schemes are delay-independent and delay-dependent H∞ stabilization based on proportional-plus-derivative (PPD) feedback strategy. By adopting a selective Lyapunov–Krasovskii functional, new criteria are constructed in a systematic way in terms of feasibility testing of linear matrix inequalities (LMIs). When the time delay is a continuous bounded function, we derive the solution for nominal and polytopic models and identify several existing results as special cases. In case the time delay is a differentiable time-varying function satisfying some bounding relations, we establish a new parametrized LMI characterization for PPD feedback stabilization. The theoretical developments are illustrated on examples of combustion in rocket motor chambers, river pollution control, and resilience analysis, and the ensuing results are compared with the conventional feedback stabilization.
FIGURES IN THIS ARTICLE
<>
Copyright © 2010 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
+First state trajectories under PPD and state feedback control
View Large  |  Save Figure  |  Download Slide (.ppt)
First state trajectories under PPD and state feedback control
Figure 1

First state trajectories under PPD and state feedback control

Grahic Jump Location
+Second state trajectories under PPD and state feedback control
View Large  |  Save Figure  |  Download Slide (.ppt)
Second state trajectories under PPD and state feedback control
Figure 2

Second state trajectories under PPD and state feedback control

Grahic Jump Location
+Third state trajectories under PPD and state feedback control
View Large  |  Save Figure  |  Download Slide (.ppt)
Third state trajectories under PPD and state feedback control
Figure 3

Third state trajectories under PPD and state feedback control

Grahic Jump Location
+Fourth state trajectories under PPD and state feedback control
View Large  |  Save Figure  |  Download Slide (.ppt)
Fourth state trajectories under PPD and state feedback control
Figure 4

Fourth state trajectories under PPD and state feedback control

Grahic Jump Location
+State trajectories: example 2
View Large  |  Save Figure  |  Download Slide (.ppt)
State trajectories: example 2
Figure 5

State trajectories: example 2

Grahic Jump Location
+Control trajectories: example 2
View Large  |  Save Figure  |  Download Slide (.ppt)
Control trajectories: example 2
Figure 6

Control trajectories: example 2

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Pre-Accidental Situations Highlighted by RECUPERARE Method and Data (PSAM-0029)
Proceedings of the Eighth International Conference on Probabilistic Safety Assessment & Management (PSAM)
A Design Method for Modified Smith Predictors for Non-Minimum-Phase Time-Delay Plants with Feedback Connected Multiple Time-Delays
Intelligent Engineering Systems through Artificial Neural Networks Volume 18
A Study of the Modified Models for 3D Stall Delay in the Design of Horizontal Axis Wind Turbine Blades
Inaugural US-EU-China Thermophysics Conference-Renewable Energy 2009 (UECTC 2009 Proceedings)
GA for JSP with Delivery Time and Holding Cost
Intelligent Engineering Systems through Artificial Neural Networks
Find & Flush the Full In-Boxes
Managing Systems Development 101: A Guide to Designing Effective Commercial Products & Systems for Engineers & Their Bosses∕CEOs> Chapter 7
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In