Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 927362, 15 pages
Review Article

Robust State-Derivative Feedback LMI-Based Designs for Linear Descriptor Systems

Department of Electrical Engineering, Faculdade de Engenharia de Ilha Solteira, São Paulo State University (UNESP), 15385-000 Ilha Solteira, SP, Brazil

Received 7 March 2009; Accepted 20 August 2009

Academic Editor: Paulo Batista Gonçalves

Copyright © 2010 Flávio A. Faria et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Techniques for stabilization of linear descriptor systems by state-derivative feedback are proposed. The methods are based on Linear Matrix Inequalities (LMIs) and assume that the plant is a controllable system with poles different from zero. They can include design constraints such as: decay rate, bounds on output peak and bounds on the state-derivative feedback matrix K, and can be applied in a class of uncertain systems subject to structural failures. These designs consider a broader class of plants than the related results available in the literature. The LMI can be efficiently solved using convex programming techniques. Numerical examples illustrate the efficiency of the proposed methods.