Finite-Time Stabilization for Singular Linear Time-Delay Systems with Time-Varying Exogenous Disturbance

Article Preview

Abstract:

In this paper finite-time stabilization for singular linear time-delay systems with time-varying exogenous disturbances is defined. By combining Lyapunov approach and matrix inequality technique, a sufficient condition of the finite-time stabilization for this kind of systems is presented by a set of feasible problems involving linear matrix inequalities (LMIs) with nonlinear constraints. In addition, the nonlinear feasible problems are solved by an so-called cone complementary linearization (CCL) algorithm. The effectiveness of the approach proposed in this paper is presented by a numerical example.

You might also be interested in these eBooks

Info:

Periodical:

Advanced Materials Research (Volumes 490-495)

Pages:

2459-2463

Citation:

Online since:

March 2012

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] P. Dorato. Short-time stability in linear time-varying systems. In Proc. IRE Int. Convention Record., volume 4, pages 83–87, (1961).

Google Scholar

[2] J. E. Feng, Z. Wu, J. B. Sun, and Z. L. Cheng. Finite-time control of linear singular systems subject to parametric uncertain and disturbances (in Chinese). In Proc. 5th World Congress Intell. Control Automat., volume 2, pages 1002–1006, (2004).

DOI: 10.1109/wcica.2004.1340761

Google Scholar

[3] L. El. Ghaoui, F. Oustry, and M. AitRami. A cone complementarity linearization algorithm for static output-feedback and related problems. IEEE Trans. Autom. Control, 42(8): 1171–1176, (1997).

DOI: 10.1109/9.618250

Google Scholar

[4] S. P. He and F. Liu. Observer-based finite-time control of time-delayed jump systems. Appl. Math. Comput., 217(6): 2327–2338, (2010).

DOI: 10.1016/j.amc.2010.07.031

Google Scholar